ELASTICITY

作品数:554被引量:836H指数:11
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相关领域:理学更多>>
相关作者:任伟秀蔡英毛海军孙庆鸿郁文凯更多>>
相关机构:北京大学清华大学河南大学山东胜利职业学院更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>
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BOUNDARY INTEGRAL EQUATIONS FOR ISOTROPIC LINEAR ELASTICITY
《Journal of Computational Mathematics》2022年第6期835-864,共30页Benjamin Stamm Shuyang Xiang 
BS acknowledges the funding from the German Academic Exchange Service(DAAD)from funds of the Bundesministeriums fur Bildung und Forschung(BMBF)for the project Aa-Par-T(Project-ID 57317909);SX acknowledges the funding from the PICSCNRS as well as the PHC PROCOPE 2017(Project N37855ZK).
This articles first investigates boundary integral operators for the three-dimensional isotropic linear elasticity of a biphasic model with piecewise constant Lam´e coefficients in the form of a bounded domain of arb...
关键词:Isotropic elasticity Boundary integral equation Spherical inclusions Vector spherical harmonics Layer potentials 
STABILIZED NONCONFORMING MIXED FINITE ELEMENT METHOD FOR LINEAR ELASTICITY ON RECTANGULAR OR CUBIC MESHES
《Journal of Computational Mathematics》2022年第6期865-881,共17页Bei Zhang Jikun Zhao Minghao Li Hongru Chen 
This work is partially supported by National Natural Science Foundation of China(No.12001170);Key Scientific Research Projects in Colleges and Universities in Henan Province(No.21A110009);Research Foundation for Advanced Talents of Henan University of Technology(No.2018BS013).
Based on the primal mixed variational formulation,a stabilized nonconforming mixed finite element method is proposed for the linear elasticity on rectangular and cubic meshes.Two kinds of penalty terms are introduced ...
关键词:Mixed finite element method Nonconforming rectangular or cubic elements ELASTICITY LOCKING-FREE Stabilization 
A STOCHASTIC ALGORITHM FOR FAULT INVERSE PROBLEMS IN ELASTIC HALF SPACE WITH PROOF OF CONVERGENCE
《Journal of Computational Mathematics》2022年第6期955-976,共22页Darko Volkov 
This work was supported by Simons Foundation Collaboration Grant[351025]。
A general stochastic algorithm for solving mixed linear and nonlinear problems was introduced in[11].We show in this paper how it can be used to solve the fault inverse problem,where a planar fault in elastic half-spa...
关键词:Mixed Linear and nonlinear inverse problems Bayesian modeling Regularization Approximation to solutions by quadrature Convergence of Random Variables Elasticity equations in unbounded domains 
A MIXED FINITE ELEMENT METHOD FOR MULTI-CAVITY COM PUTATION IN INCOMPRESSIBLE NONLINEAR ELASTICITY
《Journal of Computational Mathematics》2019年第5期609-628,共20页Weijie Huang Zhiping Li 
A mixed finite element method combining an iso-parametric Q 2-P 1 element and an isoparametric P^-Pi element is developed for the computation of multiple cavities in incompressible nonlinear elasticity. The method is ...
关键词:Multiple CAVITATION computation INCOMPRESSIBLE nonlinear ELASTICITY Mixed finite element method LOCKING-FREE CONVERGENT 
AN ADAPTIVE HYBRID STRESS TRANSITION QUADRILATERAL FINITE ELEMENT METHOD FOR LINEAR ELASTICITY
《Journal of Computational Mathematics》2016年第4期339-364,共26页Feiteng Huang Xiaoping Xie Chensong Zhang 
In this paper, we discuss an adaptive hybrid stress finite element method on quadri- lateral meshes for linear elasticity problems. To deal with hanging nodes arising in the adaptive mesh refinement, we propose new tr...
关键词:Hybrid stress element Transition element Adaptive method Quadrilateralmesh Poisson-locking Plane elasticity. 
SUPERCONVERGENCE ANALYSIS OF THE STABLE CONFORMING RECTANGULAR MIXED FINITE ELEMENTS FOR THE LINEAR ELASTICITY PROBLEM被引量:15
《Journal of Computational Mathematics》2014年第2期205-214,共10页Dongyang Shi Minghao Li 
In this paper, we consider the linear elasticity problem based on the Hellinger-Reissner variational principle. An O(h2) order superclose property for the stress and displacement and a global superconvergence result...
关键词:ELASTICITY SUPERCLOSENESS Global superconvergence. 
THE ADAPTIVE IMMERSED INTERFACE FINITE ELEMENT METHOD FOR ELASTICITY INTERFACE PROBLEMS被引量:1
《Journal of Computational Mathematics》2012年第6期629-642,共14页Yanzhen Chang 
In this paper, we propose adaptive finite element methods with error control for solving elasticity problems with discontinuous coefficients. The meshes in the methods do not need to fit the interfaces. We establish a...
关键词:Adaptive finite element method Elasticity interface problems. 
AN ANISOTROPIC LOCKING-FREE NONCONFORMING TRIANGULAR FINITE ELEMENT METHOD FOR PLANAR LINEAR ELASTICITY PROBLEM被引量:7
《Journal of Computational Mathematics》2012年第2期124-138,共15页Dongyang Shi Chao Xu 
Acknowledgments. This work was supported by National Natural Science Foundation of China (No. 10971203), Specialized Research Fund for the Doctoral Program of Higher Education (No. 20094101110006), the Educational Department Foundation of Henan Province of China (No.2009B110013).
The main aim of this paper is to study the nonconforming linear triangular Crouzeix- Raviart type finite element approximation of planar linear elasticity problem with the pure displacement boundary value on anisotrop...
关键词:Planar elasticity Nonconforming element LOCKING-FREE Anisotropic meshes. 
ARTIFICIAL BOUNDARY METHOD FOR THE THREE-DIMENSIONAL EXTERIOR PROBLEM OF ELASTICITY被引量:1
《Journal of Computational Mathematics》2005年第6期603-618,共16页Hou-de Han Chun-xiong Zheng 
The exact boundary condition on a spherical artificial boundary is derived for the three-dimensional exterior problem of linear elasticity in this paper. After this boundary condition is imposed on the artificial boun...
关键词:artificial boundary method unbounded domains ELASTICITY 
A MIXED FINITE ELEMENT METHOD FOR THE CONTACT PROBLEM IN ELASTICITY
《Journal of Computational Mathematics》2005年第4期441-448,共8页Dong-ying Hua Lie-heng Wang 
Based on the analysis of [7] and [10], we present the mixed finite element approximation of the variational inequality resulting from the contact problem in elasticity. The convergence rate of the stress and displacem...
关键词:Contact problem Mixed finite element method 
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