Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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The Least-Squares Meshfree Method for Linear Elasticity

최소 제곱 무요소법을 이용한 선형 탄성 변형 해석

  • 권기찬 (한국과학기술원 기계공학과) ;
  • 박상훈 (기아자동차 승용차체설계 3팀) ;
  • 윤성기 (한국과학기술원 기계공학과)
  • Published : 2002.11.01
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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.

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References

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