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Line field analysis and complex variable method for solving elastic-plastic fields around an anti-plane elliptic hole 认领 引用 被引量：4
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作者 GUO JunHong LU ZiXing 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第8期1495-1501,共7页
A new approach is proposed to solve the elastic-plastic fields near the major-axis line of an elliptical hole. The complex variable method is used to determine the elastic fields near the major-axis line of the ellipt... A new approach is proposed to solve the elastic-plastic fields near the major-axis line of an elliptical hole. The complex variable method is used to determine the elastic fields near the major-axis line of the elliptical hole. Then, by using the line field analysis method, the exact and new solutions of the stresses, strains in the plastic zone, the size of the plastic region and the unit normal vector of the elastic-plastic boundary near the major-axis line of the elliptical hole are obtained for an anti-plane elliptical hole in a perfectly elastic-plastic solid. The usual small scale yielding assumptions are not adopted in the analysis. The present method is simple, easy and efficient. The influences of applied mechanical loading on the size of plastic zone are discussed. 展开更多
关键词 complex variable method line field analysis method elliptical hole elastic-plastic solid
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Complex variable method for plane elasticity of icosahedral quasicrystals and elliptic notch problem 认领 引用 被引量：4
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作者 LI LianHe FAN TianYou 《Science China(Physics,Mechanics & Astronomy)》 CAS 2008年第7期773-780,共8页
The complex variable method for the plane elasticity theory of icosahedral quasicrystals is developed.Based on the general solution obtained previously,complex representations of stress and displacement components of ... The complex variable method for the plane elasticity theory of icosahedral quasicrystals is developed.Based on the general solution obtained previously,complex representations of stress and displacement components of phonon and phason fields in the quasicrystals are given.With the help of conformal transformation,an analytic solution for the elliptic notch problem of the material is presented.The solution of the Griffith crack problem can be observed as a special case of the results.The stress intensity factor and energy release rate of the crack are also obtained. 展开更多
关键词 icosahedral quasicrystals plane elasticity elliptic notch complex variable method
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A new complex variable element-free Galerkin method for two-dimensional potential problems 认领 引用 被引量：18
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作者 程玉民 王健菲 白福浓 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第9期43-52,共10页
In this paper, based on the element-free Galerkin （EFG） method and the improved complex variable moving least- square （ICVMLS） approximation, a new meshless method, which is the improved complex variable element-f... In this paper, based on the element-free Galerkin （EFG） method and the improved complex variable moving least- square （ICVMLS） approximation, a new meshless method, which is the improved complex variable element-free Galerkin （ICVEFG） method for two-dimensional potential problems, is presented. In the method, the integral weak form of control equations is employed, and the Lagrange multiplier is used to apply the essential boundary conditions. Then the corresponding formulas of the ICVEFG method for two-dimensional potential problems are obtained. Compared with the complex variable moving least-square （CVMLS） approximation proposed by Cheng, the functional in the ICVMLS approximation has an explicit physical meaning. Furthermore, the ICVEFG method has greater computational precision and efficiency. Three numerical examples are given to show the validity of the proposed method. 展开更多
关键词 meshless method improved complex variable moving least-square approximation im- proved complex variable element-free Galerkin method potential problem
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An improved complex variable element-free Galerkin method for two-dimensional elasticity problems 认领 引用 被引量：4
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作者 Bai Fu-Nong Li Dong-Ming +1 位作者 Wang Jian-Fei Cheng Yu-Min 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第2期56-65,共10页
In this paper, the improved complex variable moving least-squares （ICVMLS） approximation is presented. The ICVMLS approximation has an explicit physics meaning. Compared with the complex variable moving least-squar... In this paper, the improved complex variable moving least-squares （ICVMLS） approximation is presented. The ICVMLS approximation has an explicit physics meaning. Compared with the complex variable moving least-squares （CVMLS） approximations presented by Cheng and Ren, the ICVMLS approximation has a great computational precision and efficiency. Based on the element-free Galerkin （EFG） method and the ICVMLS approximation, the improved complex variable element-free Galerkin （ICVEFG） method is presented for two-dimensional elasticity problems, and the corresponding formulae are obtained. Compared with the conventional EFC method, the ICVEFG method has a great computational accuracy and efficiency. For the purpose of demonstration, three selected numerical examples are solved using the ICVEFG method. 展开更多
关键词 meshless method improved complex variable moving least-squares approximation improved complex variable element-free Galerkin method elasticity
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New complex variable meshless method for advection-diffusion problems 认领 引用 被引量：11
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作者 王健菲 程玉民 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第3期92-98,共7页
In this paper,an improved complex variable meshless method（ICVMM） for two-dimensional advection-diffusion problems is developed based on improved complex variable moving least-square（ICVMLS） approximation.The equi... In this paper,an improved complex variable meshless method（ICVMM） for two-dimensional advection-diffusion problems is developed based on improved complex variable moving least-square（ICVMLS） approximation.The equivalent functional of two-dimensional advection-diffusion problems is formed,the variation method is used to obtain the equation system,and the penalty method is employed to impose the essential boundary conditions.The difference method for twopoint boundary value problems is used to obtain the discrete equations.Then the corresponding formulas of the ICVMM for advection-diffusion problems are presented.Two numerical examples with different node distributions are used to validate and investigate the accuracy and efficiency of the new method in this paper.It is shown that ICVMM is very effective for advection-diffusion problems,and has a good convergent character,accuracy,and computational efficiency. 展开更多
关键词 meshless method improved complex variable moving least-square approximation improved complex variable meshless method advection-diffusion problem
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Analysis of variable coefficient advection-diffusion problems via complex variable reproducing kernel particle method 认领 引用 被引量：1
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作者 翁云杰 程玉民 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第9期197-202,共6页
The complex variable reproducing kernel particle method （CVRKPM） of solving two-dimensional variable coefficient advection-diffusion problems is presented in this paper. The advantage of the CVRKPM is that the shape... The complex variable reproducing kernel particle method （CVRKPM） of solving two-dimensional variable coefficient advection-diffusion problems is presented in this paper. The advantage of the CVRKPM is that the shape function of a two-dimensional problem is formed with a one-dimensional basis function. The Galerkin weak form is employed to obtain the discretized system equation, and the penalty method is used to apply the essential boundary conditions. Then the corresponding formulae of the CVRKPM for two-dimensional variable coefficient advection-diffusion problems are obtained. Two numerical examples are given to show that the method in this paper has greater accuracy and computational efficiency than the conventional meshless method such as reproducing the kernel particle method （RKPM） and the element- free Galerkin （EFG） method. 展开更多
关键词 meshless method reproducing kernel particle method （RKPM） complex variable reproducingkernel particle method （CVRKPM） advection-diffusion problem
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Combining the complex variable reproducing kernel particle method and the finite element method for solving transient heat conduction problems 认领 引用 被引量：10
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作者 陈丽 马和平 程玉民 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第5期67-74,共8页
In this paper, the complex variable reproducing kernel particle （CVRKP） method and the finite element （FE） method are combined as the CVRKP-FE method to solve transient heat conduction problems. The CVRKP-FE metho... In this paper, the complex variable reproducing kernel particle （CVRKP） method and the finite element （FE） method are combined as the CVRKP-FE method to solve transient heat conduction problems. The CVRKP-FE method not only conveniently imposes the essential boundary conditions, but also exploits the advantages of the individual methods while avoiding their disadvantages, then the computational efficiency is higher. A hybrid approximation function is applied to combine the CVRKP method with the FE method, and the traditional difference method for two-point boundary value problems is selected as the time discretization scheme. The corresponding formulations of the CVRKP-FE method are presented in detail. Several selected numerical examples of the transient heat conduction problems are presented to illustrate the performance of the CVRKP-FE method. 展开更多
关键词 complex variable reproducing kernel particle method finite element method combined method,transient heat conduction
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The complex variable meshless local Petrov-Galerkin method of solving two-dimensional potential problems 认领 引用 被引量：1
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作者 杨秀丽 戴保东 张伟伟 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第10期49-55,共7页
Based on the complex variable moving least-square（CVMLS） approximation and a local symmetric weak form,the complex variable meshless local Petrov-Galerkin（CVMLPG） method of solving two-dimensional potential proble... Based on the complex variable moving least-square（CVMLS） approximation and a local symmetric weak form,the complex variable meshless local Petrov-Galerkin（CVMLPG） method of solving two-dimensional potential problems is presented in this paper.In the present formulation,the trial function of a two-dimensional problem is formed with a one-dimensional basis function.The number of unknown coefficients in the trial function of the CVMLS approximation is less than that in the trial function of the moving least-square（MLS） approximation.The essential boundary conditions are imposed by the penalty method.The main advantage of this approach over the conventional meshless local Petrov-Galerkin（MLPG） method is its computational efficiency.Several numerical examples are presented to illustrate the implementation and performance of the present CVMLPG method. 展开更多
关键词 meshless method complex variable moving least-square method complex variable meshless local Petrov-Galerkin method potential problems
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The complex variable reproducing kernel particle method for two-dimensional elastodynamics 认领 引用 被引量：25
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作者 陈丽 程玉民 《Chinese Physics B》 SCIE EI CAS 2010年第9期59-70,共12页
On the basis of the reproducing kernel particle method （RKPM）, a new meshless method, which is called the complex variable reproducing kernel particle method （CVRKPM）, for two-dimensional elastodynamics is present... On the basis of the reproducing kernel particle method （RKPM）, a new meshless method, which is called the complex variable reproducing kernel particle method （CVRKPM）, for two-dimensional elastodynamics is presented in this paper. The advantages of the CVRKPM are that the correction function of a two-dimensional problem is formed with one-dimensional basis function when the shape function is obtained. The Galerkin weak form is employed to obtain the discretised system equations, and implicit time integration method, which is the Newmark method, is used for time history analysis. And the penalty method is employed to apply the essential boundary conditions. Then the corresponding formulae of the CVRKPM for two-dimensional elastodynamics are obtained. Three numerical examples of two-dimensional elastodynamics are presented, and the CVRKPM results are compared with the ones of the RKPM and analytical solutions. It is evident that the numerical results of the CVRKPM are in excellent agreement with the analytical solution, and that the CVRKPM has greater precision than the RKPM. 展开更多
关键词 meshless method reproducing kernel particle method complex variable reproducing kernel particle method elastodvnamics
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A complex variable meshless local Petrov-Galerkin method for transient heat conduction problems 认领 引用
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作者 王启防 戴保东 栗振锋 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第8期238-244,共7页
On the basis of the complex variable moving least-square （CVMLS） approximation, a complex variable meshless local Petrov-Galerkin （CVMLPG） method is presented for transient heat conduction problems. The method is ... On the basis of the complex variable moving least-square （CVMLS） approximation, a complex variable meshless local Petrov-Galerkin （CVMLPG） method is presented for transient heat conduction problems. The method is developed based on the CVMLS approximation for constructing shape functions at scattered points, and the Heaviside step function is used as a test function in each sub-domain to avoid the need for a domain integral in symmetric weak form. In the construction of the well-performed shape function, the trial function of a two-dimensional （2D） problem is formed with a one-dimensional （1D） basis function, thus improving computational efficiency. The numerical results are compared with the exact solutions of the problems and the finite element method （FEM）. This comparison illustrates the accuracy as well as the capability of the CVMLPG method. 展开更多
关键词 meshless method complex variable moving least-square method complex variable meshless localPetrov-Galerkin method transient heat conduction problems
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Advances in the Improved Element-Free Galerkin Methods:A Comprehensive Review 认领 引用 被引量：1
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作者 Heng Cheng YichenYang Yumin Cheng 《Computer Modeling in Engineering & Sciences》 SCIE EI 2025年第12期2853-2894,共42页
The element-free Galerkin(EFG)method,which constructs shape functions via moving least squares(MLS)approximation,represents a fundamental and widely studied meshless method in numerical computation.Although it achieve... The element-free Galerkin(EFG)method,which constructs shape functions via moving least squares(MLS)approximation,represents a fundamental and widely studied meshless method in numerical computation.Although it achieves high computational accuracy,the shape functions are more complex than those in the conventional finite element method(FEM),resulting in great computational requirements.Therefore,improving the computational efficiency of the EFG method represents an important research direction.This paper systematically reviews significant contributions fromdomestic and international scholars in advancing the EFGmethod.Including the improved element-free Galerkin(IEFG)method,various interpolating EFG methods,four distinct complex variable EFG methods,and a series of dimension splitting meshless methods.In the numerical examples,the effectiveness and efficiency of the three methods are validated by analyzing the solutions of the IEFG method for 3D steadystate anisotropic heat conduction,3D elastoplasticity,and large deformation problems,as well as the performance of two-dimensional splitting meshless methods in solving the 3D Helmholtz equation. 展开更多
关键词 Meshless method improved element-free Galerkin method singular weight function nonsingular weight function interpolating element-free Galerkin method complex variable element-free Galerkin method dimension splitting method dimension splitting meshless method
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The stress-controlled mechanism of deep-buried tunnels based on functional gradient reinforcement in high tectonic stress zones 认领 引用
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作者 Yaocai Ma Hehua Zhu +4 位作者 Wuqiang Cai Chenlong Su Xiangyang Wei Zhi Zheng Jian Pu 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2026年第4期2702-2724,共23页
Grouting reinforcement serves as a critical measure for the stability design and disaster prevention of deep-buried tunnels.However,the grouting reinforcement effect on the unloading stress path of surrounding rock in... Grouting reinforcement serves as a critical measure for the stability design and disaster prevention of deep-buried tunnels.However,the grouting reinforcement effect on the unloading stress path of surrounding rock in high tectonic stress zones and its mechanisms for disaster prevention and control remain unclear.This paper proposes a functional gradient bearing concept for grouting reinforcement of fractured surrounding rock in deep-buried tunnels.The functionally graded reinforced zone is designed,exhibiting a radial mechanical property gradient where stiffness increases and strength decreases from shallow to deep regions of the surrounding rock.A semi-analytical method based on the complex variable theory is specificallydeveloped for elastic-plastic mechanical analysis of reinforced surrounding rock.Subsequently,the effects of rock strength and stiffness on the morphological characteristics of the plastic zone around deep-buried circular tunnels in high tectonic stress zones are investigated.The study shows that:(1)The annular grouting reinforcement design has limited effectiveness in preventing the failure of surrounding rock;(2)Grouting reinforcement significantlyenhances the bearing capacity of tunnels in weak and fractured rock masses,but excessive grouting to control the plastic zone is not recommended;(3)The bearing capacity of the shallow surrounding rock and the stress regulating function of the deeper surrounding rock can be fully utilized if the functional gradient bearing concept is considered,achieving coordinated bearing between shallow and deep surrounding rock.The research provides new insights for the gradient grouting reinforcement and stress control optimization design of surrounding rock in deep-buried circular tunnels. 展开更多
关键词 High tectonic stress Deep-buried tunnel Complex variable method Functional gradient reinforcement Generalized Zhang-Zhu(GZZ)strength theory Surrounding rock stability
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Analytical modeling of complex contact behavior between rock mass and lining structure 认领 引用 被引量：8
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作者 Dingli Zhang Tong Xu +3 位作者 Huangcheng Fang Qian Fang Liqiang Cao Ming Wen 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2022年第3期813-824,共12页
Based on the nondestructive test data of operating railway tunnels in China, this paper summarizes the basic characteristics of the complex contact behavior between the rock mass and lining structure. The contact mode... Based on the nondestructive test data of operating railway tunnels in China, this paper summarizes the basic characteristics of the complex contact behavior between the rock mass and lining structure. The contact modes are classified into dense contact, local non-contact, and loose contact. Subsequently, the corresponding mechanical model for each contact mode is developed according to its mechanical characteristics using the complex variable method. In the proposed mechanical model, a special algorithm is introduced to detect whether the local non-contact zone is re-contacted. Besides, a novel conformal mapping method is also proposed to accurately calculate the mechanical response of the concrete lining. Finally, the accuracy of the proposed method is verified by comparing it with the finite element method(FEM). Several parameter investigations are conducted to analyze the effects of different contact modes on the rock-lining interaction. The results show that:(i) the height of the local noncontact area does not have a significant effect on the contact stress distribution if no re-contact occurs;(ii) backfill grouting can reduce the local stress concentration caused by poor contact modes;and(iii) reducing the friction coefficient of the interface can lead to a more uniform distribution of internal forces in the concrete lining. 展开更多
关键词 Loose contact Local non-contact Tunnel lining Complex variable method Analytical mechanical model
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The complex variable reproducing kernel particle method for elasto-plasticity problems 认领 引用 被引量：8
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作者 CHEN Li CHENG YuMin 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2010年第5期954-965,共12页
On the basis of reproducing kernel particle method(RKPM),using complex variable theory,the complex variable reproducing kernel particle method(CVRKPM)is discussed in this paper.The advantage of the CVRKPM is that the ... On the basis of reproducing kernel particle method(RKPM),using complex variable theory,the complex variable reproducing kernel particle method(CVRKPM)is discussed in this paper.The advantage of the CVRKPM is that the correction function of a two-dimensional problem is formed with one-dimensional basis function when the shape function is formed.Then the CVRKPM is applied to solve two-dimensional elasto-plasticity problems.The Galerkin weak form is employed to obtain the discretized system equation,the penalty method is used to apply the essential boundary conditions.And then,the CVRKPM for two-dimensional elasto-plasticity problems is formed,the corresponding formulae are obtained,and the Newton-Raphson method is used in the numerical implementation.Three numerical examples are given to show that this method in this paper is effective for elasto-plasticity analysis. 展开更多
关键词 meshless method reproducing kernel particle method(RKPM) complex variable reproducing kernel particle method(CVRKPM) correction function elasto-plasticity
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A complex variable meshless method for fracture problems 认领 引用 被引量：16
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作者 CHENG Yumin LI Jiuhong 《Science China(Physics,Mechanics & Astronomy)》 CAS 2006年第1期46-59,共14页
Based on the moving least-square(MLS)approximation,the complex variable moving least-square approximation(CVMLS)is discussed in this paper.The complex variable moving least-square approximation cannot form ill-conditi... Based on the moving least-square(MLS)approximation,the complex variable moving least-square approximation(CVMLS)is discussed in this paper.The complex variable moving least-square approximation cannot form ill-conditioned equations,and has greater precision and computational efficiency.Using the analytical solution near the tip of a crack,the trial functions in the complex variable moving least-square approxi-mation are extended,and the corresponding approximation function is obtained.And from the minimum potential energy principle,a complex variable meshless method for fracture problems is presented,and the formulae of the complex variable meshless method are obtained.The complex variable meshless method in this paper has greater precision and computational efficiency than the conventional meshless method.Some examples are given. 展开更多
关键词 moving least-square approximation complex variable moving least-square approximation meshless method complex variable meshless method fracture
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Stochastic simulation of fluid flow in porous media by the complex variable expression method 认领 引用
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作者 宋会彬 詹美礼 +1 位作者 盛金昌 罗玉龙 《Journal of Hydrodynamics》 SCIE EI CSCD 2013年第2期215-225,共11页
A stochastic simulation of fluid flow in porous media using a complex variable expression method （SFCM） is presented in this paper. Hydraulic conductivity is considered as a random variable and is then expressed in ... A stochastic simulation of fluid flow in porous media using a complex variable expression method （SFCM） is presented in this paper. Hydraulic conductivity is considered as a random variable and is then expressed in complex variable form, the real part of which is a deterministic value and the imaginary part is a variable value. The stochastic seepage flow is simulated with the SFCM and is compared with the results calculated with the Monte Carlo stochastic finite element method. In using the Monte Carlo method to simulate the stochastic seepage flow field, the hydraulic conductivity is assumed in three different probability distributions using random sampling method. The obtained seepage flow field is examined through skewness analysis, and the skewed distribution probability density function is given. The head mode value and the head comprehensive standard deviation are used to represent the statistics of calculation results obtained by the Monte Carlo method. The stochastic seepage flow field simulated by the SFCM is confirmed to be similar to that given by the Monte Carlo method from numerical aspects. The range of coefficient of variation of hydraulic conductivity in SFCM is larger than used previously in stochastic seepage flow field simulations, and the computation time is short. The results proved that the SFCM is a convenient calculating method for solving the complex problems. 展开更多
关键词 seepage flow field complex variable expression method （SFCM） stochastic seepage flow Monte Carlo method skewed distribution
Interaction between a screw dislocation and an elastic elliptical inhomogeneity with interfacial cracks 认领 引用 被引量：7
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作者 QihongFang YouwenLiu ChipingJiang 《Acta Mechanica Sinica》 SCIE EI CAS 2005年第2期151-159,共9页
The elastic interaction between a screw dislocation and an elliptical inhomogeneity with interfacial cracks is studied. The screw dislocation may be located outside or inside the inhomogeneity. An efficient complex va... The elastic interaction between a screw dislocation and an elliptical inhomogeneity with interfacial cracks is studied. The screw dislocation may be located outside or inside the inhomogeneity. An efficient complex variable method for the complex multiply connected region is developed, and the general solutions to the problem are derived. As illustrative examples, solutions in explicit series form for complex potentials are presented in the case of one or two interfacial cracks. Image forces on the dislocation are calculated by using the Peach-Koehler formula. The influence of crack geometries and material properties on the image forces is evaluated and discussed. It is shown that the interfacial crack has a significant effect on the equilibrium position of the dislocation near an elliptical-arc interface. The main results indicate, when the length of the crack goes up to a critical value, the presence of the interfacial crack can change the interaction mechanism between a screw dislocation and an elliptical inclusion. The present solutions can include a number of previously known results as special cases. 展开更多
关键词 Interfacial cracks Screw dislocation Elliptical inhomogeneity Image force Complex variable method
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SCATTERING OF FLEXURAL WAVES AND DYNAMIC STRESS CONCENTRATIONS IN MINDLIN'S THICK PLATES WITH A CUTOUT 认领 引用 被引量：19
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作者 刘殿魁 胡超 《Acta Mechanica Sinica》 SCIE EI CAS 1996年第2期169-185,共17页
Using the complex variable method and conformal mapping,scat- tering of flexural waves and dynamic stress concentrations in Mindlin's thick plates with a cutout have been studied.The general solution of the stress... Using the complex variable method and conformal mapping,scat- tering of flexural waves and dynamic stress concentrations in Mindlin's thick plates with a cutout have been studied.The general solution of the stress problem of the thick plate satisfying the boundary conditions on the contour of cutouts is obtained. Applying the orthogonal function expansion technique,the dynamic stress problem can be reduced into the solution of a set of infinite algebraic equations.As examples, numerical results for the dynamic stress concentration factor in Mindlin's plates with a circular,elliptic cutout are graphically presented in sequence. 展开更多
关键词 Mindlin's thick plate scattering of flexural waves dynamic stress concentration complex variable method
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Analytical investigations of in situ stress inversion from borehole breakout geometries 认领 引用 被引量：1
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作者 Zizhuo Xiang Taehyun Moon +2 位作者 Joung Oh Guangyao Si Ismet Canbulat 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2024年第7期2375-2387,共13页
This study aims to investigate the feasibility of deriving in situ horizontal stresses from the breakout width and depth using the analytical method.Twenty-three breakout data with different borehole sizes were collec... This study aims to investigate the feasibility of deriving in situ horizontal stresses from the breakout width and depth using the analytical method.Twenty-three breakout data with different borehole sizes were collected and three failure criteria were studied.Based on the Kirsch equations,relatively accurate major horizontal stress(sH)estimations from known minor horizontal stress(sh)were achieved with percentage errors ranging from 0.33%to 44.08%using the breakout width.The Mogi-Coulomb failure criterion(average error:13.1%)outperformed modified Wiebols-Cook(average error:19.09%)and modified Lade(average error:18.09%)failure criteria.However,none of the tested constitutive models could yield reasonable sh predictions from known sH using the same approach due to the analytical expression of the redistributed stress and the nature of the constitutive models.In consideration of this issue,the horizontal stress ratio(sH/sh)is suggested as an alternative input,which could estimate both sH and sh with the same level of accuracy.Moreover,the estimation accuracies for both large-scale and laboratory-scale breakouts are comparable,suggesting the applicability of this approach across different breakout sizes.For breakout depth,conformal mapping and complex variable method were used to calculate the stress concentration around the breakout tip,allowing the expression of redistributed stresses using binomials composed of sH and sh.Nevertheless,analysis of the breakout depth stabilisation mechanism indicates that additional parameters are required to utilise normalised breakout depth for stress estimation compared to breakout width.These parameters are challenging to obtain,especially under field conditions,meaning utilising normalised breakout depth analytically in practical applications faces significant challenges and remains infeasible at this stage.Nonetheless,the normalised breakout depth should still be considered a critical input for any empirical and statistical stress estimation method given its significant correlation with horizontal stresses.The outcome of this paper is expected to contribute valuable insights into the breakout stabilisation mechanisms and estimation of in situ stress magnitudes based on borehole breakout geometries. 展开更多
关键词 Borehole failure In situ stress estimation In situ horizontal stress ratio Conformal mapping Complex variable method Breakout stabilisation
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ANTIPLANE PROBLEM OF CIRCULAR ARC INTERFACIAL RIGID LINE INCLUSIONS 认领 引用 被引量：2
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作者 刘又文 方棋洪 王明斌 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第4期458-466,共9页
The antiplane problem of circular arc rigid line inclusions under antiplane concentrated force and longitudinal shear loading was dealt with. By using Riemann-Schwarz's symmetry principle integrated with the singu... The antiplane problem of circular arc rigid line inclusions under antiplane concentrated force and longitudinal shear loading was dealt with. By using Riemann-Schwarz's symmetry principle integrated with the singularity analysis of complex functions, the general solution of the problem and the closed form solutions for some important practical problems were presented. The stress distribution in the immediate vicinity of circular arc rigid line end was examined in detail. The results show that the singular stress fields near the rigid inclusion tip possess a square-root singularity similar to that for the corresponding crack problem under antiplane shear loading, but no oscillatory character. Furthermore, the stresses are found to depend on geometrical dimension, loading conditions and materials parameters. Some practical results concluded are in agreement with the previous solutions. 展开更多
关键词 rigid line inclusion circular arc interface antiplane problem complex variable method
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