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Study on Hybrid Stress Finite Elements of 3D Arbitrary Polyhedral Considering Gravity 认领 引用
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作者 Runjie Wang Ran Guo Chang Liu 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2026年第5期585-595,共11页
This study proposes a novel gravity-considered three-dimensional arbitrary polyhedral hybrid stress finite element method(abbreviated as G-3DPHSEM)for numerical simulation of three-dimensional problems considering gra... This study proposes a novel gravity-considered three-dimensional arbitrary polyhedral hybrid stress finite element method(abbreviated as G-3DPHSEM)for numerical simulation of three-dimensional problems considering gravity effects.Based on the hybrid stress finite element theory,this study integrates gravity terms into the modified complementary energy functional of hybrid stress finite element,and proposes the functional of G-3DPHSEM.To verify the effectiveness of the method,a single-material model example,a multi-material model example,and a complex model example were constructed for numerical simulation.The calculation results of G-3DPHSEM were compared with those of the commercial finite element software.The comparison results show that:for the single-material case,the errors of this method are generally below 3%compared with commercial software’s results;for the multi-material case,the errors are generally below 5%compared with commercial software’s results;for the complex model,the errors are generally below 10%compared with commercial software’s results.Meanwhile,this method also demonstrates significant advantages in mesh generation:while ensuring computational accuracy,it possesses the core advantages of flexible mesh generation and substantial reduction in the number of elements,providing new ideas for numerical simulation of complex gravity problems(such as large and complex slopes and other engineering problems). 展开更多
关键词 G-3DPHSEM Gravity Arbitrary polyhedral hybrid stress finite element Numerical simulation
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Computational method for analytical solution with finite elements(CMAS-FE):Deriving approximate analytical solution for an isotropic homogeneous elastic medium with linear finite element method 认领 引用
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作者 Jiajia Yue Zifeng Yuan 《Theoretical & Applied Mechanics Letters》 EI CAS CSCD 2025年第6期540-550,共11页
This study presents a novel methodology to obtain an approximate analytical solution for an isotropic homo-geneous elastic medium with displacement and traction boundary conditions.The solution is derived through solv... This study presents a novel methodology to obtain an approximate analytical solution for an isotropic homo-geneous elastic medium with displacement and traction boundary conditions.The solution is derived through solving a specific numerical problem under the scope of the linear finite element method(LFEM),so the method is termed computational method for analytical solutions with finite elements(CMAS-FE).The primary objective of the CMAS-FE is to construct analytical expressions for displacements and reaction forces at nodes,as well as for strains and stresses at elemental quadrature points,all of which are formulated as infinite series solutions of various orders of Poisson’s ratios.Like the conventional LFEM,the CMAS-FE forms global sparse linear equations,but the Young’s modulus and Poisson’s ratio remain variables(or symbols).By employing a direct inverse method to solve these symbolic linear systems,an analytical expression of the displacement field can be constructed.The CMAS-FE is validated via patch and bending tests,which demonstrate convergence with mesh and term refine-ment.Furthermore,the CMAS-FE is applied to obtain the bending stiffness of a beam structure and to estimate an approximate stress intensity factor for a straight crack within a square-shaped plate. 展开更多
关键词 CMAS-FE Finite element method Linear elastic problem Analytical solution
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Rotation-based finite elements:reference-configuration geometry and motion description 认领 引用 被引量：4
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作者 Ahmed A.Shabana Lingmin Xu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2021年第1期105-126,I0004,共22页
Infinitesimal-rotation finite elements allow creating a linear problem that can be exploited to systematically reduce the number of coordinates and obtain efficient solutions for a wide range of applications,including... Infinitesimal-rotation finite elements allow creating a linear problem that can be exploited to systematically reduce the number of coordinates and obtain efficient solutions for a wide range of applications,including those governed by nonlinear equations.This paper discusses the limitations of conventional infinitesimal-rotation finite elements(FE)in capturing correctly the initial stress-free reference-configuration geometry,and explains the effect of these limitations on the definition of the inertia used in the motion description.An alternative to conventional infinitesimal-rotation finite elements is a new class of elements that allow developing inertia expressions written explicitly in terms of constant coefficients that define accurately the reference-configuration geometry.It is shown that using a geometrically inconsistent(GI)approach that introduces the infinitesimal-rotation coordinates from the outset to replace the interpolation-polynomial coefficients is the main source of the failure to capture correctly the reference-configuration geometry.On the other hand,by using a geometrically consistent(GC)approach that employs the position gradients of the absolute nodal coordinate formulation(ANCF)to define the infinitesimal-rotation coordinates,the reference-configuration geometry can be preserved.Two simple examples of straight and tapered beams are used to demonstrate the basic differences between the two fundamentally different approaches used to introduce the infinitesimal-rotation coordinates.The analysis presented in this study sheds light on the differences between the incremental co-rotational solution procedure,widely used in computational structural mechanics,and the non-incremental floating frame of reference formulation(FFR),widely used in multibody system(MBS)dynamics. 展开更多
关键词 Reference-configuration geometry Infinitesimal-rotation finite elements Rigid-body inertia Floating frame of reference Absolute nodal coordinate formulation Co-rotational procedure
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CONSTRUCTION OF MODIFIED TAYLOR-GALERKIN FINITE ELEMENTS AND ITS APPLICATION IN COMPRESSIBLE FLOW COMPUTATION 认领 引用
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作者 朱刚 沈孟育 +1 位作者 刘秋生 王保国 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1996年第4期333-339,共7页
In this paper we begin with Taylor-Galerkin Finite Elements,then n improve it completely and finally construct Modified Taylor-Galerkin Finite Elements.Computation is done by two methods to study two kinds of subsonic... In this paper we begin with Taylor-Galerkin Finite Elements,then n improve it completely and finally construct Modified Taylor-Galerkin Finite Elements.Computation is done by two methods to study two kinds of subsonic and supersonic flow.field.The results show that the new one is much better than the old one. 展开更多
关键词 finite elements subsonic flow supersonic flow
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Use of the finite elements method for modelling the dynamic load impact on hydraulic leg equipped with gas accumulator 认领 引用 被引量：5
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作者 GONDEK Horst MAZUREK Krzysztof SZWEDA Stanislaw 《Journal of Coal Science & Engineering(China)》 2008年第2期171-175,共5页
Procedures of preparation of numerical analysis,consisting in a simulation of cooperation of three different media: steel,liquid and gas undergoes dynamic load were discussed.Modelling of the initial static load of th... Procedures of preparation of numerical analysis,consisting in a simulation of cooperation of three different media: steel,liquid and gas undergoes dynamic load were discussed.Modelling of the initial static load of the mechanical system was presented.By using the MSC.Software products the following exemplary computer simulations were made: dynamic load impact on the hydraulic leg as well as effectiveness of the hydraulic leg protection against overload with help of gas accumulator. 展开更多
关键词 finite elements dynamic load hydraulic leg equipped gas accumulator
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Modeling of interphases in multiple heterogeneities reinforced composites using Voronoi cell finite elements 认领 引用 被引量：7
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作者 Rui Zhang Ting Wang Ran Guo 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2020年第4期887-901,共15页
In this paper,a Voronoi cell finite element model is developed to study the microscopic and macroscopic mechanical behaviors of heterogenous materials,including arbitrary distributed heterogeneity(inclusions or fibers... In this paper,a Voronoi cell finite element model is developed to study the microscopic and macroscopic mechanical behaviors of heterogenous materials,including arbitrary distributed heterogeneity(inclusions or fibers)coated with interphase layers,based on linear elasticity theory.The interphase between heterogeneity and a matrix are regarded as in the third phase(elastic layers),in contrast to the perfect interface of the spring-like Voronoi cell finite element model(VCFEM)in the literature.In this model,both stress and the displacement field are assumed to be independent in an element.Formulations of stress are derived for each of the three phases in an element,as is the type of functional.Numerical examples were used to study the microscopic and macroscopic properties,such as the effective modulus,of the composites.The results of the proposed VCFEM were compared with analytical solution and numerical results obtained from a standard finite element analysis to confirm its effectiveness. 展开更多
关键词 Voronoi cell finite element method Interphase Multiple fiber composites Effective elastic property
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Computing of the Anchor by the Method of Three-Dimension Point-Radiate Infinite Elements 认领 引用 被引量：15
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作者 王艳芬 王元汉 谢洪阳 《Journal of China University of Geosciences》 2007年第2期185-190,共6页
On the basis of the one-dimension infinite element theory, the coordinate translation and shape function of 3D point-radiate 8-node and 4-node infinite elements are derived. They are coupled with 20-node and 8-node fi... On the basis of the one-dimension infinite element theory, the coordinate translation and shape function of 3D point-radiate 8-node and 4-node infinite elements are derived. They are coupled with 20-node and 8-node finite elements to compute the compression distortion of the prestressed anchorage segment. The results indicate that when the prestressed force acts on the anchorage head and segment, the stresses and the displacements in the rock around the anchorage head and segment concentrate on the zone center with the anchor axis, and they decrease with exponential forms. Therefore,the stresses and the displacement spindles are formed. The calculating results of the infinite element are close to the theoretical results. This indicates the method is right. This article introduces a new way to study the mechanism of prestressed anchors. The obtained results have an important role in the research of the anchor mechanism and engineering application. 展开更多
关键词 infinite element prestressed anchor couple finite element
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FINITE ELEMENTS FOR THE LUBRICATED CONTACT BETWEEN SOLIDS IN METAL FORMING REOCESSES 认领 引用 被引量：3
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作者 R. Boman and J. - P. Ponthot 《Acta Metallurgica Sinica(English Letters)》 EI CAS 2000年第1期319-327,共9页
In this paper, the lubrication problem in nmmerical sindation of forming processes is considered.After enumerationg the difficulties encountered when trying to solve such a problem with the finite element method, a ge... In this paper, the lubrication problem in nmmerical sindation of forming processes is considered.After enumerationg the difficulties encountered when trying to solve such a problem with the finite element method, a generalization of the formaulation of Liu[4-6] for the thin film hydrodynamic lubrication re- gime is presented. This method is then aplied to a strip rolling simulation,using the Arbitrary La- grangian eulerian (ALE) formalism. 展开更多
关键词 finite elements,lubrication,ALE strip rolling simulatin
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Robust Falk-Neilan Finite Elements for the Reissner-Mindlin Plate 认领 引用 被引量：1
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作者 Shangyou Zhang 《Communications on Applied Mathematics and Computation》 2023年第4期1697-1712,共16页
The family of Falk-Neilan Pkfinite elements,combined with the Argyris Pk+1finite elements,solves the Reissner-Mindlin plate equation quasi-optimally and locking-free,on triangular meshes.The method is truly conf... The family of Falk-Neilan Pkfinite elements,combined with the Argyris Pk+1finite elements,solves the Reissner-Mindlin plate equation quasi-optimally and locking-free,on triangular meshes.The method is truly conforming or consistent in the sense that no projectioneduction is introduced.Theoretical proof and numerical confirmation are presented. 展开更多
关键词 Locking free Reissner-Mindlin equation Finite element Triangular grids
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Nonconforming finite elements for the equation of planar elasticity 认领 引用
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作者 杨永琴 肖留超 陈绍春 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2010年第12期1537-1548,共12页
Two new locking-free nonconforming finite elements for the pure displacement planar elasticity problem are presented. Convergence rates of the elements are uniformly optimal with respect to A. The energy norm and L2 n... Two new locking-free nonconforming finite elements for the pure displacement planar elasticity problem are presented. Convergence rates of the elements are uniformly optimal with respect to A. The energy norm and L2 norm errors are proved to be O（h2） and O（h3）, respectively. Numerical tests confirm the theoretical analysis. 展开更多
关键词 planar elasticity locking-free nonconforming finite element
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Ultraconvergence for averaging discontinuous finite elements and its applications in Hamiltonian system 认领 引用
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作者 李灿华 陈传森 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第7期943-956,共14页
This paper discusses the k-degree averaging discontinuous finite element solution for the initial value problem of ordinary differential equations. When k is even, the averaging numerical flux （the average of left an... This paper discusses the k-degree averaging discontinuous finite element solution for the initial value problem of ordinary differential equations. When k is even, the averaging numerical flux （the average of left and right limits for the discontinuous finite element at nodes） has the optimal-order ultraconvergence 2k ＋ 2. For nanlinear Hamiltonian systems （e.g., SchrSdinger equation and Kepler system） with momentum conservation, the discontinuous finite element methods preserve momentum at nodes. These properties are confirmed by numerical experiments. 展开更多
关键词 averaging discontinuous finite element ultraconvergence Hamiltoniansystem momentum conservation
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ON THE SPECTRAL EQUIVALENCE OF UNCONVENTIONAL FINITE ELEMENTS AND THEIR CONVENTIONAL RELATIVES 认领 引用
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作者 黄建国 沐建飞 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第8期915-920,共6页
With a generalized conforming element as a typical example, the spectral equivalence of unconventional finite elements and their conventional relatives is proved. This result is very important for the construction of ... With a generalized conforming element as a typical example, the spectral equivalence of unconventional finite elements and their conventional relatives is proved. This result is very important for the construction of domain decomposition parallel algorithms for unconventional finite elements. 展开更多
关键词 unconventional finite element generalized conforming element spectral equivalence
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Horizontal Velocity of Variable Gauge Rolling:Theory and Finite Elements Simulation 认领 引用 被引量：8
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作者 ZHANG Guang-ji LIU Xiang-hua +1 位作者 HU Xian-lei ZHI Ying 《Journal of Iron and Steel Research International》 SCIE CAS CSCD 2013年第10期10-16,共7页
Within the production chain of longitudinal profiled （LP） plates and tailor rolled blanks （TRB）, variable gauge roiling （VGR） represents the vital important forming stage, in which shape and properties are tailo... Within the production chain of longitudinal profiled （LP） plates and tailor rolled blanks （TRB）, variable gauge roiling （VGR） represents the vital important forming stage, in which shape and properties are tailored to sat- isfy customers＇ requirements. It is of vital importance to reveal the relationship between work-piece horizontal veloci- ty and roll vertical velocity during VGR, which is not only a key point to understand the deformation law, but also an important content for setting VGR process parameters. It is proved that the simplified assumption of equal dis- charge per second condition （EDSC） breaks down during VGR. Due to this reason the differential equation of the work-piece horizontal velocity （VGR-V） is performed by keeping the material volume constant. To attain a compre- hensive understanding of this underlying process in detail, numerical approaches based on finite elements method have been performed by utilizing the Abaqus Explicit. Rolling experiment is carried out which indicates that the nu- merical result coincides with the expel＇imental result well. A fine spatial discretization of work-piece is essential for special emphasis has to be put on detecting different horizontal velocity of work-piece cross section, often leading to a hundred thousand degrees of freedom even for plane strain calculations. The data obtained by using Abaqus Explicit coincide with the results determined by theory. A theoretical basis on deformation parameters and mechanical param- eters during VGR process is provided. 展开更多
关键词 variable gauge rolling horizontal velocity non-linear finite element analysis
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Unified analysis for stabilized methods of low-order mixed finite elements for stationary Navier-Stokes equations 认领 引用 被引量：4
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作者 陈刚 冯民富 何银年 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第8期953-970,共18页
A unified analysis is presented for the stabilized methods including the pres- sure projection method and the pressure gradient local projection method of conforming and nonconforming low-order mixed finite elements f... A unified analysis is presented for the stabilized methods including the pres- sure projection method and the pressure gradient local projection method of conforming and nonconforming low-order mixed finite elements for the stationary Navier-Stokes equa- tions. The existence and uniqueness of the solution and the optimal error estimates are proved. 展开更多
关键词 Navier-Stokes equation Ladyzhenskaya-Babu^ka-Brezzi （LBB） condition,low-order finite element pressure projection method pressure gradient local projectionmethod
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Elastodynamic Infinite Elements with Modified Bessel Shape Functions for Dynamic Soil-Structure Interaction 认领 引用
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作者 Konstantin Savkov Kazakov 《Journal of Mechanics Engineering and Automation》 2011年第1期38-43,共6页
The paper is devoted to formulations of decay and mapped elastodynamic infinite elements, based on modified Bessel shape functions. These elements are appropriate for Soil-Structure Interaction （SSI） problems, solve... The paper is devoted to formulations of decay and mapped elastodynamic infinite elements, based on modified Bessel shape functions. These elements are appropriate for Soil-Structure Interaction （SSI） problems, solved in time or frequency domain and can be treated as a new form of the recently proposed Elastodynamic Infinite Elements with United Shape Functions （EIEUSF） infinite elements. The formulation of 2D Horizontal type Infinite Elements （HIE） is demonstrated here, but by similar techniques 2D Vertical （VIE） and 2D Comer （CIE） Infinite Elements can also be formulated. Using elastodynamic infinite elements is the easier and appropriate way to achieve an adequate simulation including basic aspects of Soil-Structure Interaction. Continuity along the artificial boundary （the line between finite and infinite elements） is discussed as well and the application of the proposed elastodynamic infinite elements in the Finite Element Method （FEM） is explained in brief. Finally, a numerical example shows the computational efficiency of the proposed infinite elements. 展开更多
关键词 Soil-structure interaction （SSI） wave propagation infinite elements finite element method （FEM） bessel functions.
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Multilayers Plates Buckling by Mixed Finite Elements 认领 引用
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作者 Roberto S. Carnicer Braian A. Desia Rodolfo A. Schwarz 《Journal of Civil Engineering and Architecture》 2017年第10期943-951,共9页
It is presented a buckling analysis ofmultilayered plates by the finite elements method with mixed unknowns （displacement and rotations, and transverse interlaminar stresses）. In the mixed model, each layer is analy... It is presented a buckling analysis ofmultilayered plates by the finite elements method with mixed unknowns （displacement and rotations, and transverse interlaminar stresses）. In the mixed model, each layer is analyzed as a single plate, where the continuity of displacement is ensured by Lagrange multipliers which represent static variables. This procedure is easy to be implemented from the computational point of view. A methodology to solve the eigen problem is presented based on the inverse iteration method. The model is verified successfully with results obtained by other authors. 展开更多
关键词 Multilayered plates buckling finite elements interlaminar stresses.
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A multithreaded parallel upwind sweep algorithm for the SN transport equations discretized with discontinuous finite elements 认领 引用 被引量：1
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作者 Zhi‑Wei Zong Mao‑Song Cheng +1 位作者 Ying‑Chi Yu Zhi‑Min Dai 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2023年第12期229-241,共13页
The complex structure and strong heterogeneity of advanced nuclear reactor systems pose challenges for high-fidelity neutron-shielding calculations. Unstructured meshes exhibit strong geometric adaptability and can ov... The complex structure and strong heterogeneity of advanced nuclear reactor systems pose challenges for high-fidelity neutron-shielding calculations. Unstructured meshes exhibit strong geometric adaptability and can overcome the deficiencies of conventionally structured meshes in complex geometry modeling. A multithreaded parallel upwind sweep algorithm for SN transport was proposed to achieve a more accurate geometric description and improve the computational efficiency. The spatial variables were discretized using the standard discontinuous Galerkin finite-element method. The angular flux transmission between neighboring meshes was handled using an upwind scheme. In addition, a combination of a mesh transport sweep and angular iterations was realized using a multithreaded parallel technique. The algorithm was implemented in the 2D/3D SN transport code ThorSNIPE, and numerical evaluations were conducted using three typical benchmark problems:IAEA, Kobayashi-3i, and VENUS-3. These numerical results indicate that the multithreaded parallel upwind sweep algorithm can achieve high computational efficiency. ThorSNIPE, with a multithreaded parallel upwind sweep algorithm, has good reliability, stability, and high efficiency, making it suitable for complex shielding calculations. 展开更多
关键词 Shielding calculation Discrete ordinates method Discontinuous Galerkin finite element method Unstructured meshes
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Analysis of the geometrical dependence of auxetic behavior in reentrant structures by finite elements 认领 引用 被引量：5
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作者 V.H.Carneiro H.Puga J.Meireles 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2016年第2期295-300,共6页
Materials with a negative Poisson＇s ratio（PR）are called auxetics;they are characterized by expansion/contraction when tensioned/compressed.Given this counterintuitive behavior,they present very particular character... Materials with a negative Poisson＇s ratio（PR）are called auxetics;they are characterized by expansion/contraction when tensioned/compressed.Given this counterintuitive behavior,they present very particular characteristics and mechanical behavior.Geometrical models have been developed to justify and artificiall reproduce such materials＇ auxetic behavior.The focus of this study is the exploration of a reentrant model by analyzing the variation in the PR of reentrant structures as a function of geometrical and base material parameters.It is shown that,even in the presence of protruding ribs,there may not be auxetic behavior,and this depends on the geometry of each reentrant structure.Values determined for these parameters can be helpful as approximate reference data in the design and fabrication of auxetic lattices using reentrant geometries. 展开更多
关键词 Auxetic Poisson’s ratio Reentrant Finite element analysis Elasticity
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Application of Finite Elements Method for Structural Analysis in a Coffee Harvester 认领 引用
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作者 Evandro Pereira da Silva Fabio Moreira da Silva Ricardo Rodrigues Magalhaes 《Engineering（科研）》 2014年第3期138-147,共10页
Stress concentration and large displacements are usual problems in the components of the structure of agricultural machinery such harvesters coffee, and that finite element method (FEM) can be a tool to minimize its e... Stress concentration and large displacements are usual problems in the components of the structure of agricultural machinery such harvesters coffee, and that finite element method (FEM) can be a tool to minimize its effects. The goal of this paper is to get results of stresses and displacements of a coffee harvester structure by using FEM for static simulation. The main parts of the coffee harvester analyzed were: engine frame, body right and left sides, front and rear end, main beam, coffee reservoir, wheels and fuel tank. Two different design concepts of a coffee harvester machine were analyzed (structure with rear wheels aligned and misaligned) and the results were compared. It was observed that the model with rear wheels misaligned showed maximum displacement lower than the model with rear wheels aligned. Although higher stress was found in the rear wheels misaligned, it was observed that average stresses for the misaligned wheels design were lower in most structural components analyzed. Based on FEM results, the coffee harvester machine with misaligned rear wheels was built and subjected to operational tests without showing any structural failure. 展开更多
关键词 Finite Elements Method Stress Concentration Static Simulation Coffee Harvester
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MIXED FINITE ELEMENTS FOR PARABOLICINTEGRO-DIFFERENTIAL EQUATIONS 认领 引用
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作者 孙澎涛 《Acta Mathematica Scientia》 SCIE 1997年第3期319-329,共11页
In this paper, we study mixed finite elements for parabolic integro-differential equations, and introduce a kind of nonclassical mixed projection, its optimal L-2 and h(-s) estimates are obtained. We define semi-discr... In this paper, we study mixed finite elements for parabolic integro-differential equations, and introduce a kind of nonclassical mixed projection, its optimal L-2 and h(-s) estimates are obtained. We define semi-discrete and full-discrete mixed finite elements for the equations, and obtain the optimal L-2 error estimates. 展开更多
关键词 integro-differential equations mixed finite element error estimates
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