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Meshfree Analysis of Elasto-Plastic Deformation Using Variational Multiscale Method

변분적 다중 스케일 방법을 이용한 탄소성 변형의 무요소해석

  • 연정흠 (한국과학기술원 대학원 기계공학과) ;
  • 윤성기 (한국과학기술원 기계공학과)
  • Published : 2004.08.01

Abstract

A meshfree multi-scale method has been presented for efficient analysis of elasto-plastic problems. From the variational principle, problem is decomposed into a fine scale and a coarse scale problem. In the analysis only the plastic region is discretized using fine scale. Each scale variable is approximated using meshfree method. Adaptivity can easily and nicely be implemented in meshree method. As a method of increasing resolution, partition of unity based extrinsic enrichment is used. Each scale problem is solved iteratively. Iteration procedure is indispensable for the elasto-plastic deformation analysis. Therefore this kind of solution procedure is adequate to that problem. The proposed method is applied to Prandtl's punch test and shear band problem. The results are compared with those of other methods and the validity of the proposed method is demonstrated.

Keywords

Multiscale;Meshfree Method;Variational Multiscale Method;Elasto-Plasticity;Shear Band

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