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second-order-algorithms
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Numerical properties of second order integration algorithms for plasticity models
, Article Research and Applications in Structural Engineering, Mechanics and Computation - Proceedings of the 5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013 ; 2013 , Pages 443-448 ; 9781138000612 (ISBN) ; Sharif University of Technology
2013
Abstract
Investigating the behavior of materials in plastic limit is very important in different fields of engineering. Due to the simplicity of implementation and numerical stability, implicit types of algorithms are conventionally used to deal with plasticity problems. The backward Euler method as a first order accurate algorithm has proven very efficient for integrating the rate form of differential equations governing the behavior of different plasticity models. However, it is desirable to have algorithms with superior performance and quadratic rate of convergence compared with backward Euler method. Many second order integration algorithms have been proposed in the literature which are majorly...
Numerical assessment of a double step integration algorithm for J 2 plasticity with Armstrong-Frederick evolution of back stress
, Article Scientia Iranica ; Volume 19, Issue 5 , 2012 , Pages 1168-1179 ; 10263098 (ISSN) ; Sharif University of Technology
2012
Abstract
In this work a double step algorithm is presented for the integration of equations governing the behavior of von Mises material in plastic limit. The isotropic and kinematic hardenings employed are of general type and the evolution of back stress follows the Armstrong-Frederick rule. Theoretical and numerical aspects are discussed in detail and a comparison is made with the classical backward Euler method