期刊文献+
任意字段
题名或关键词
题名
关键词
摘要
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息
共找到165,423篇文章
< 1 2 … 250 >
每页显示 20 50 100
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
显示方式：
A NEW CLASS OF THE DYNAMIC VISCOPLASTIC FRICTIONAL CONTACT PROBLEM WITH ADHESION 认领 引用
1
作者 Furi GUO Jinrong WANG 《Acta Mathematica Scientia》 SCIE CSCD 2026年第1期69-98,共30页
In this paper,our main goal is to study a new mathematical model which describes the frictional contact between a foundation and a deformable body which is composed of viscoplastic materials and where the process is c... In this paper,our main goal is to study a new mathematical model which describes the frictional contact between a foundation and a deformable body which is composed of viscoplastic materials and where the process is considered dynamic.The contact condition on the normal plane is modeled by a unilateral constraint condition for a version of normal velocity in which the memory effect and the adhesion are considered.On the tangential plane a frictional contact condition is governed by the Clarke subdifferential of a locally Lipschitz function,and the evolution of the bonding field is governed by an ordinary differential equation.We formulate this problem as coupled system that consists of two ordinary differential equations and a variational-hemivariational inequality.Then,the existence,uniqueness and continuous dependence of the solution on the data results concerning the abstract system are established.Finally,we use the abstract results to show the existence and uniqueness of the solution to the contact problem. 展开更多
关键词 variational-hemivariational inequality Clarke generalized gradient adhesion frictional contact existence and uniqueness
暂未订购 下载PDF
Axisymmetric contact problem of one-dimensional hexagonal quasicrystal based on couple stress theory 认领 引用
2
作者 Yuxin Zhang Xin Lv Guanting Liu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第5期446-459,共14页
This paper investigates the size-dependent axisymmetric frictionless contact problem between a rigid spherical indenter and a one-dimensional(1D)hexagonal quasicrystal(QC)half-space within the context of couple stress... This paper investigates the size-dependent axisymmetric frictionless contact problem between a rigid spherical indenter and a one-dimensional(1D)hexagonal quasicrystal(QC)half-space within the context of couple stress elasticity.By introducing the characteristic material length parameter and employing the Hankel integral transformation,the governing equations for the axisymmetric contact problem of 1D hexagonal QC under the theory of couple stress are derived and solved analytically.The least-squares integral method is also employed to obtain the expression for the contact pressure distribution with size effect.Through numerical examples,the effects of the characteristic material length parameter on the contact radius,contact pressure,and indentation depth are analyzed.The results incorporating the size effects lead to notable departures from classical elasticity predictions.The presence of the phason field leads to a reduction in peak contact pressure with the size effect. 展开更多
关键词 Axisymmetric contact One-dimensional hexagonal quasicrystal Phason field Size effect Couple stress theory
暂未订购 下载PDF
REDUCED AUGMENTED LAGRANGIAN BI-CONJUGATE GRADIENT METHOD FOR IMPACT-CONTACT PROBLEMS 认领 引用 被引量：1
3
作者 Li Nansheng Sha Desong Sun Huanchun 《Acta Mechanica Solida Sinica》 SCIE 1998年第3期241-252,共12页
To avoid the numerical oscillation of the penalty method andnon-compatibility with ex- plicit operators of conventional Lagrangemultiplier methods used in transient contact problems to en- forcesurface contact conditi... To avoid the numerical oscillation of the penalty method andnon-compatibility with ex- plicit operators of conventional Lagrangemultiplier methods used in transient contact problems to en- forcesurface contact conditions, a new approach to enforcing surfacecontact constraints for the tran- sient nonlinear finite elementproblems, referred to as 'the reduced augmented Lagrangianbi-conjugate gradient method (ALCG)', is developed in this paper.Based on the nonlinear constrained optimization theory and iscompatible with the explicit time integration scheme, this approachcan also be used in implicit scheme naturally. 展开更多
关键词 impact-contact problems contact constraints explicit scheme
暂未订购 下载PDF
NON-INTERIOR SMOOTHING ALGORITHM FOR FRICTIONAL CONTACT PROBLEMS 认领 引用 被引量：1
4
作者 张洪武 何素艳 李兴斯 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第1期47-58,共12页
A new algorithm for solving the three-dimensional elastic contact problem with friction is presented. The algorithm is a non-interior smoothing algorithm based on an NCP-function. The parametric variational principle ... A new algorithm for solving the three-dimensional elastic contact problem with friction is presented. The algorithm is a non-interior smoothing algorithm based on an NCP-function. The parametric variational principle and parametric quadratic programming method were applied to the analysis of three-dimensional frictional contact problem. The solution of the contact problem was finally reduced to a linear complementarity problem, which was reformulated as a system of nonsmooth equations via an NCP-function. A smoothing approximation to the nonsmooth equations was given by the aggregate function. A Newton method was used to solve the resulting smoothing nonlinear equations. The algorithm presented is easy to understand and implement. The reliability and efficiency of this algorithm are demonstrated both by the numerical experiments of LCP in mathematical way and the examples of contact problems in mechanics. 展开更多
关键词 three-dimensional frictional contact problem parametic quadratic programming method linear complementarity problem NCP-function aggregate function non-interior smoothing algorithm
暂未订购 下载PDF
CONTACT PROBLEMS AND DUAL VARIATIONAL INEQUALITY OF 2-D ELASTOPLASTIC BEAM THEORY 认领 引用
5
作者 高扬 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1996年第10期953-968,共16页
In Order to study the frictional contact problems of the elastoplastic beam theory,an extended two-dimensional beam model is established, and a second order nonlinear equilibrium problem with both internal and externa... In Order to study the frictional contact problems of the elastoplastic beam theory,an extended two-dimensional beam model is established, and a second order nonlinear equilibrium problem with both internal and external complementarity conditions is proposed. The external complementarity condition provides the free boundary condition. while the internal complemententarity condition gives the interface of the elastic and plastic regions. We prove that this bicomplementarity problem is equivalent to a nonlinear variational inequality The dual variational inequality is also developed.It is shown that the dual variational inequality is much easier than the primalvariational problem. Application to limit analysis is illustrated. 展开更多
关键词 complementarity problems variational inequality duality theory,elastoplastic beam contact problem
暂未订购 下载PDF
Two kinds of contact problems in three-dimensional icosahedral quasicrystals 认领 引用 被引量：13
6
作者 Xuefen ZHAO Xing LI Shenghu DING 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2015年第12期1569-1580,共12页
Two kinds of contact problems, i.e., the frictional contact problem and the adhesive contact problem, in three-dimensional （3D） icosahedral quasicrystals are dis- cussed by a complex variable function method. For th... Two kinds of contact problems, i.e., the frictional contact problem and the adhesive contact problem, in three-dimensional （3D） icosahedral quasicrystals are dis- cussed by a complex variable function method. For the frictional contact problem, the contact stress exhibits power singularities at the edge of the contact zone. For the adhe- sive contact problem, the contact stress exhibits oscillatory singularities at the edge of the contact zone. The numerical examples show that for the two kinds of contact problems, the contact stress exhibits singularities, and reaches the maximum value at the edge of the contact zone. The phonon-phason coupling constant has a significant effect on the contact stress intensity, while has little impact on the contact stress distribution regu- lation. The results are consistent with those of the classical elastic materials when the phonon-phason coupling constant is 0. For the adhesive contact problem, the indentation force has positive correlation with the contact displacement, but the phonon-phason cou- pling constant impact is barely perceptible. The validity of the conclusions is verified. 展开更多
关键词 three-dimensional （3D） icosahedral quasicrystal Riemann-Hilbert problem,contact problem singularity complex variable function method
暂未订购 下载PDF
AXISYMMETRIC CONTACT PROBLEM OF CUBIC QUASICRYSTALLINE MATERIALS 认领 引用 被引量：16
7
作者 Zhou Wangmin Fan Tianyou Yin Shuyuan 《Acta Mechanica Solida Sinica》 SCIE 2002年第1期68-74,共7页
The axisymmetric elasticity theory of cubic quasicrystal was developed in Ref. [1]. The axisymmetric elasticity problem of cubic quasicrystal is reduced to a single higher-order partial differential equation by introd... The axisymmetric elasticity theory of cubic quasicrystal was developed in Ref. [1]. The axisymmetric elasticity problem of cubic quasicrystal is reduced to a single higher-order partial differential equation by introducing a displacement function, based on which, the exact analytic solutions for the elastic field of an axisymmetric contact problem of cubic quasicrystalline materials are obtained for universal contact stress or contact displacement. The result shows that if the contact stress has order - 1/2 singularity on the edge of the contact domain, die contact displacement is a constant in the contact domain. Conversely, if the contact displacement is a constant, the contact stress must have order - 1/2 singularity on the edge of die contact domain. 展开更多
关键词 cubic quasicrystal axisymmetry contact problem
暂未订购 下载PDF
Two Kinds of Contact Problems in Dodecagonal Quasicrystals of Point Group 12 mm 认领 引用 被引量：8
8
作者 Xuefen Zhao Xing Li Shenghu Ding 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2016年第2期167-177,共11页
In this paper,two kinds of contact problems in 2-D dodecagonal quasicrystals were discussed using the complex variable function method：one is the finite frictional contact problem,the other is the adhesive contact pr... In this paper,two kinds of contact problems in 2-D dodecagonal quasicrystals were discussed using the complex variable function method：one is the finite frictional contact problem,the other is the adhesive contact problem.The analytic expressions of contact stresses in the phonon and phason fields were obtained for a flat rigid punch,which showed that：（1） for the finite frictional contact problem,the contact stress exhibited power-type singularities at the edge of the contact zone;（2） for the adhesive contact problem,the contact stress exhibited oscillatory singularities at the edge of the contact zone.The distribution regulation of contact stress under punch was illustrated;and the low friction property of quasicrystals was verified graphically. 展开更多
关键词 2-D dodecagonal quasicrystals contact problem singularity Riemann-Hilbert problem
暂未订购 下载PDF
Contact Problem in Decagonal Two-Dimensional Quasicrystal 认领 引用 被引量：14
9
作者 周旺民 范天佑 《Journal of Beijing Institute of Technology》 EI CAS 2001年第1期51-55,共5页
As a new structure of solid matter quasicrystal brings profound new ideas to the traditional condensed matter physics, its elastic equations are more complicated than that of traditional crystal. A contact problem of ... As a new structure of solid matter quasicrystal brings profound new ideas to the traditional condensed matter physics, its elastic equations are more complicated than that of traditional crystal. A contact problem of decagonal two? dimensional quasicrystal material under the action of a rigid flat die is solved satisfactorily by introducing displacement function and using Fourier analysis and dual integral equations theory, and the analytical expressions of stress and displacement fields of the contact problem are achieved. The results show that if the contact displacement is a constant in the contact zone, the vertical contact stress has order -1/2 singularity on the edge of contact zone, which provides the important mechanics parameter for contact deformation of the quasicrystal. 展开更多
关键词 decagonal two-dimensional quasicrystal contact problem stress and displacement
暂未订购 下载PDF
A CONTACT SEARCHING ALGORITHM FOR CONTACT-IMPACT PROBLEMS 认领 引用 被引量：12
10
作者 王福军 程建钢 姚振汉 《Acta Mechanica Sinica》 SCIE EI CAS 2000年第4期374-382,共9页
A new contact searching algorithm for contact-impact systems is proposed in this paper.In terms of the cell structure and the linked-list,this algo- rithm solves the problem of sorting and searching contacts in three ... A new contact searching algorithm for contact-impact systems is proposed in this paper.In terms of the cell structure and the linked-list,this algo- rithm solves the problem of sorting and searching contacts in three dimensions by transforming it to a retrieving process from two one-dimensional arrays,and binary searching is no longer required.Using this algorithm, the cost of contact searching is reduced to the order of O(N)instead of O(Nlog_2N)for traditional ones,where N is the node number in the system.Moreover,this algorithm can handle contact systems with arbitrary mesh layouts.Due to the simplicity of this algorithm it can be easily implemented in a dynamic explicit finite element program.Our numerical experi- mental result shows that this algorithm is reliable arid efficient for contact searching of three dimensional systems. 展开更多
关键词 contact impact contact search finite element method
暂未订购 下载PDF
Analytical solution of axisymmetric contact problem about indentation of a circular indenter into a soft functionally graded elastic layer 认领 引用 被引量：2
11
作者 Sergey Volkov Sergey Aizikovich +1 位作者 Yue-Sheng Wang Igor Fedotov 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2013年第2期196-201,共6页
The paper addresses a contact problem of the theory of elasticity,i.e.,the penetration of a circular indenter with a flat base into a soft functionally graded elastic layer.The elastic properties of a functionally gra... The paper addresses a contact problem of the theory of elasticity,i.e.,the penetration of a circular indenter with a flat base into a soft functionally graded elastic layer.The elastic properties of a functionally graded layer arbitrarily vary with depth,and the foundation is assumed to be elastic,yet much harder than a layer.Approximated analytical solution is constructed,and it is shown that the solutions are asymptotically exact both for large and small values of characteristic dimensionless geometrical parameter of the problem.Numerical examples are analyzed for the cases of monotonic and nonmonotonic variations of elastic properties.Numerical results for the case of homogeneous layer are compared with the results for nondeformable foundation. 展开更多
关键词 Contact problems·Indentation·Functionally graded layer
暂未订购 下载PDF
EFFECTIVE NUMERICAL METHODS FOR ELASTO-PLASTIC CONTACT PROBLEMS WITH FRICTION 认领 引用 被引量：3
12
作者 Wang Xucheng Chang Liangming Cen Zhangzhi 《Acta Mechanica Sinica》 SCIE CAS 1990年第4期349-356,共8页
Several effective numerical methods for solving the elasto-plastic contact problems with friction are pres- ented.First,a direct substitution method is employed to impose the contact constraint conditions on condensed... Several effective numerical methods for solving the elasto-plastic contact problems with friction are pres- ented.First,a direct substitution method is employed to impose the contact constraint conditions on condensed finite ele- ment equations,thus resulting in a reduction by half in the dimension of final governing equations.Second,an algorithm composed of contact condition probes and elasto-plastic iterations is utilized to solve the governing equation,which distinguishes two kinds of nonlinearities,and makes the solution unique.In addition,Positive-Negative Sequence Modifica- tion Method is used to condense the finite element equations of each substructure and an analytical integration is intro- duced to determine the elasto-plastic status after each time step or each iteration,hence the computational efficiency is en- hanced to a great extent.Finally,several test and practical examples are pressented showing the validity and versatility of these methods and algorithms. 展开更多
关键词 elasto-plasticity contact problem finite element method
暂未订购 下载PDF
Solving frictional contact problems by two aggregate-function-based algorithms 认领 引用
13
作者 Suyan He Hongwu Zhang Xingsi Li 《Acta Mechanica Sinica》 SCIE EI CAS 2005年第5期467-471,共5页
Three dimensional frictional contact problems are formulated as linear complementarity problems based on the parametric variational principle. Two aggregate-functionbased algorithms for solving complementarity problem... Three dimensional frictional contact problems are formulated as linear complementarity problems based on the parametric variational principle. Two aggregate-functionbased algorithms for solving complementarity problems are proposed. One is called the self-adjusting interior point algorithm, the other is called the aggregate function smoothing algorithm. Numerical experiment shows the efficiency of the proposed two algorithms. 展开更多
关键词 Frictional contact problem. Linear complementarity problem .Aggregate function ~ Interior pointalgorithm ~ Smoothing algorithm
暂未订购 下载PDF
Reduced projection augmented Lagrange bi-conjugate gradient method for contact and impact problems 认领 引用
14
作者 李南生 任魁生 沙德松 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第8期1101-1108,共8页
Based on the numerical governing formulation and non-linear complementary conditions of contact and impact problems, a reduced projection augmented Lagrange bi- conjugate gradient method is proposed for contact and im... Based on the numerical governing formulation and non-linear complementary conditions of contact and impact problems, a reduced projection augmented Lagrange bi- conjugate gradient method is proposed for contact and impact problems by translating non-linear complementary conditions into equivalent formulation of non-linear program- ming. For contact-impact problems, a larger time-step can be adopted arriving at numer- ical convergence compared with penalty method. By establishment of the impact-contact formulations which are equivalent with original non-linear complementary conditions, a reduced projection augmented Lagrange bi-conjugate gradient method is deduced to im- prove precision and efficiency of numerical solutions. A numerical example shows that the algorithm we suggested is valid and exact. 展开更多
关键词 contact and impact problems reduced projection augmented Lagrange bi-conjugate gradient numerical method
暂未订购 下载PDF
UNIQUENESS FOR THE SOLUTIONS OF ELASTIC THIN PLATES AND SHALLOW SHELLS AS WELL AS THEIR CONTACT PROBLEM WITH HALF SPACE 认领 引用
15
作者 范家参 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第3期335-340,共6页
The uniqueness for the solutions mentioned in the subject is proved by using the uniqueness of the solution for the internal boundary problem of Laplace and bi-Laplace equations of the first kind as well as of the sec... The uniqueness for the solutions mentioned in the subject is proved by using the uniqueness of the solution for the internal boundary problem of Laplace and bi-Laplace equations of the first kind as well as of the second. 展开更多
关键词 harmonic and bi-harmonic functions uniqueness of solution elastic plates and shallow shells contact problem with the elastic half space
暂未订购 下载PDF
On existence and uniqueness of the solution of elastoplastic contact problems 认领 引用
16
作者 郭小明 《Journal of Southeast University(English Edition)》 EI CAS 2009年第2期232-235,共4页
Contact problems and elastoplastic problems are unified and described by the variational inequality formulation, in which the constraints of the constitutional relations for elastoplastic materials and the contact con... Contact problems and elastoplastic problems are unified and described by the variational inequality formulation, in which the constraints of the constitutional relations for elastoplastic materials and the contact conditions are relaxed totally. First, the coerciveness of the functional is proved. Then the uniqueness of the solution of variational inequality for the elastoplastic contact problems is demonstrated. The existence of the solution is also demonstrated according to the sufficient conditions for the solution of the elliptic variational inequality. A mathematical foundation is developed for the variational extremum principle of elastoplastic contact problems. The developed variational extremum forms can give an effective and strict mathematical modeling to solve contact problems with mathematical programming. 展开更多
关键词 elastoplastic contact problem existence uniqueness coerciveness variational extremum form
暂未订购 下载PDF
THE EXACT INTEGRAL EQUATION OF HERTZ’S CONTACT PROBLEM 认领 引用
17
作者 云天铨 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第2期181-185,共5页
This paper presents the exact integral equation of Hertz's contact problem, which is obtained by taking into account the horizontal displacement of points in the contacted surfaces due to pressure.
关键词 elasticity contact problem integral equations
暂未订购 下载PDF
SOLVING CONTACT PROBLEM WITH FRICTION BY A NEW FAST BOUNDARY ELEMENT METHOD 认领 引用 被引量：1
18
作者 Huang, Qingxue Du, Qungui Shen, Guangxian 《Chinese Journal of Mechanical Engineering》 EI CAS 1998年第3期38-43,共6页
The formulation of boundary element method for handling contact problems with friction and the technique for high speed contact analysis are presented. This formulation is based on the idea of modifying the length of ... The formulation of boundary element method for handling contact problems with friction and the technique for high speed contact analysis are presented. This formulation is based on the idea of modifying the length of contact elements without altering the total number of elements. The high precision of solution and high speed analysis are verified according to the results of conventional method and analysis method. 展开更多
关键词 Contact problem with friction Boundary element method High speed iteration
全文增补中
The axisymmetric torsional contact problem of a functionally graded piezoelectric coated half-space 认领 引用 被引量：2
19
作者 Jie Su Liao-Liang Ke +1 位作者 Yue-Sheng Wang Yang Xiang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2017年第2期406-414,共9页
In this article, we study the axisymmetric torsional contact problem of a half-space coated with functionally graded piezoelectric material (FGPM) and subjected to a rigid circular punch. It is found that, along the t... In this article, we study the axisymmetric torsional contact problem of a half-space coated with functionally graded piezoelectric material (FGPM) and subjected to a rigid circular punch. It is found that, along the thickness direction, the electromechanical properties of FGPMs change exponentially. We apply the Hankel integral transform technique and reduce the problem to a singular integral equation, and then numerically determine the unknown contact stress and electric displacement at the contact surface. The results show that the surface contact stress, surface azimuthal displacement, surface electric displacement, and inner electromechanical field are obviously dependent on the gradient index of the FGPM coating. It is found that we can adjust the gradient index of the FGPM coating to modify the distributions of the electric displacement and contact stress. 展开更多
关键词 Axisymmetric torsional contact Singular integral equation Functionally graded piezoelectric materials (FGPMs)
暂未订购 下载PDF
BLOCK PIVOT METHODS FOR SOLVING FRICTIONAL CONTACT PROBLEMS 认领 引用 被引量：2
20
作者 陈万吉 陈国庆 冯恩民 《Acta Mechanica Sinica》 SCIE EI CAS 1995年第1期51-58,共8页
Based on elementary group theory, the block pivot methods for solving two-dimensional elastic frictional contact problems are presented in this paper. It is proved that the algorithms converge within a finite number o... Based on elementary group theory, the block pivot methods for solving two-dimensional elastic frictional contact problems are presented in this paper. It is proved that the algorithms converge within a finite number of steps when the friction coefficient is ''relative small''. Unlike most mathematical programming methods for contact problems, the block pivot methods permit multiple exchanges of basic and nonbasic variables. 展开更多
关键词 ELASTIC FRICTIONAL CONTACT TRIAL AND ERROR METHOD MATHEMATICAL PROGRAMMING METHOD BLOCK PIVOT METHOD CONVERGENCE
暂未订购 下载PDF
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
上一页 1 2 … 250 下一页 到第 页
在线咨询 使用帮助 返回顶部 意见反馈