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http://dx.doi.org/10.3795/KSME-A.2003.27.11.1907

Comparison of Semi-Implicit Integration Schemes for Rate-Dependent Plasticity  

Yoon, Sam-Son (한국과학기술원 기계공학과)
Lee, Soon-Bok (한국과학기술원 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.27, no.11, 2003 , pp. 1907-1916 More about this Journal
Abstract
During decades, there has been much progress in understanding of the inelastic behavior of the materials and numerous inelastic constitutive equations have been developed. The complexity of these constitutive equations generally requires a stable and accurate numerical method. To obtain the increment of state variable, its evolution laws are linearized by several approximation methods, such as general midpoint rule(GMR) or general trapezoidal rule(GTR). In this investigation, semi-implicit integration schemes using GTR and GMR were developed and implemented into ABAQUS by means of UMAT subroutine. The comparison of integration schemes was conducted on the simple tension case, and simple shear case and nonproportional loading case. The fully implicit integration(FI) was the most stable but amplified the truncation error when the nonlinearity of state variable is strong. The semi-implicit integration using GTR gave the most accurate results at tension and shear problem. The numerical solutions with refined time increment were always placed between results of GTR and those of FI. GTR integration with adjusting midpoint parameter can be recommended as the best integration method for viscoplastic equation considering nonlinear kinematic hardening.
Keywords
Viscoplastic Constitutive Equation; Finite Element Method; Implicit Integration; General Midpoint Rule; General Trapezoidal Rule; Chaboche Model;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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