A dual reciprocity boundary face method for 3D non-homogeneous elasticity problems

2012 ◽  
Vol 36 (9) ◽  
pp. 1301-1310 ◽  
Author(s):  
Fenglin Zhou ◽  
Jianming Zhang ◽  
Xiaomin Sheng ◽  
Guangyao Li
Keyword(s):  
Boundary Face ◽  
Elasticity Problems ◽  
Homogeneous Elasticity

A dual interpolation boundary face method with Hermite-type approximation for elasticity problems

2020 ◽  
Vol 82 ◽  
pp. 104005 ◽  
Author(s):  
Jianming Zhang ◽  
Rui He ◽  
Weicheng Lin ◽  
Le Yang ◽  
Baotao Chi ◽  
...  
Keyword(s):  
Type Approximation ◽  
Boundary Face ◽  
Elasticity Problems

A dual interpolation boundary face method for elasticity problems

2019 ◽  
Vol 73 ◽  
pp. 500-511 ◽  
Author(s):  
Jianming Zhang ◽  
Weicheng Lin ◽  
Yunqiao Dong
Keyword(s):  
Boundary Face ◽  
Elasticity Problems

A sphere-triangle contact model with complex boundary face problems

2021 ◽  
Vol 93 ◽  
pp. 395-411
Author(s):  
Ganghai Huang ◽  
Shu Zhang ◽  
Yuanzhen Xu
Keyword(s):  
Contact Model ◽  
Boundary Face ◽  
Complex Boundary

scholarly journals The Implementation of Spectral Element Method in a CAE System for the Solution of Elasticity Problems on Hybrid Curvilinear Meshes

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Dmitriy Konovalov ◽  
Anatoly Vershinin ◽  
Konstantin Zingerman ◽  
Vladimir Levin
Keyword(s):  
Mathematical Simulation ◽  
High Performance ◽  
Spectral Element Method ◽  
New Technologies ◽  
Spectral Element ◽  
High Tech ◽  
Engineering Analysis ◽  
Elasticity Problems ◽  
Cae System ◽  
Element Method

Modern high-performance computing systems allow us to explore and implement new technologies and mathematical modeling algorithms into industrial software systems of engineering analysis. For a long time the finite element method (FEM) was considered as the basic approach to mathematical simulation of elasticity theory problems; it provided the problems solution within an engineering error. However, modern high-tech equipment allows us to implement design solutions with a high enough accuracy, which requires more sophisticated approaches within the mathematical simulation of elasticity problems in industrial packages of engineering analysis. One of such approaches is the spectral element method (SEM). The implementation of SEM in a CAE system for the solution of elasticity problems is considered. An important feature of the proposed variant of SEM implementation is a support of hybrid curvilinear meshes. The main advantages of SEM over the FEM are discussed. The shape functions for different classes of spectral elements are written. Some results of computations are given for model problems that have analytical solutions. The results show the better accuracy of SEM in comparison with FEM for the same meshes.

scholarly journals Adjoint-weighted variational formulation for the direct solution of plane stress inverse elasticity problems

2008 ◽  
Vol 135 ◽  
pp. 012012 ◽  
Author(s):  
Paul E Barbone ◽  
Carlos E Rivas ◽  
Isaac Harari ◽  
Uri Albocher ◽  
Assad A Oberai ◽  
...  
Keyword(s):  
Plane Stress ◽  
Variational Formulation ◽  
Direct Solution ◽  
Elasticity Problems ◽  
Inverse Elasticity
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