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http://dx.doi.org/10.3795/KSME-A.2004.28.12.2019

The Least-Squares Meshfree Method for the Analysis of Rigid-Plastic Deformation  

윤성기 (한국과학기술원 기계공학과)
권기찬 (한국과학기술원 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.28, no.12, 2004 , pp. 2019-2031 More about this Journal
Abstract
The least-squares formulation for rigid-plasticity based on J$_2$-flow rule and infinitesimal theory and its meshfree implementation using moving least-squares approximation are proposed. In the least-squares formulation the squared residuals of the constitutive and equilibrium equations are minimized. Those residuals are represented in a form of first-order differential system using the velocity and stress components as independent variables. For the enforcement of the boundary and frictional contact conditions, penalty scheme is employed. Also the reshaping of nodal supports is introduced to avoid the difficulties due to the severe local deformation near the contact interface. The proposed least-squares meshfree method does not require any structure of extrinsic cells during the whole process of analysis. Through some numerical examples of metal forming processes, the validity and effectiveness of the method are investigated.
Keywords
LSMFM; Least-Squares; Meshfree Method; Rigid-Plasticity; Metal Forming;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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