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http://dx.doi.org/10.3795/KSME-A.2002.26.11.2312

The Least-Squares Meshfree Method for Linear Elasticity  

Kwon, Kie-Chan (한국과학기술원 기계공학과)
Park, Sang-Hoon (기아자동차 승용차체설계 3팀)
Youn, Sung-Kie (한국과학기술원 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.26, no.11, 2002 , pp. 2312-2321 More about this Journal
Abstract
The first-order least-squares meshfree method for linear elasticity is presented. The conventional and the compatibility-imposed least-squares formulations are studied on the convergence behavior of the solution and the robustness to integration error. Since the least-squares formulation is a type of mixed formulation and induces positive-definite system matrix, by using shape functions of same order for both primal and dual variables, higher rate of convergence is obtained for dual variables than Galerkin formulation. Numerical examples also show that the presented formulations do not exhibit any volumetric locking for the incompressible materials.
Keywords
Least-Squares; Meshfree Method; Meshless Method; Integration Error; Elasticity; Incompressibility;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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