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Paper Information

Journal:   INTERNATIONAL JOURNAL OF ENGINEERING   JANUARY 2011 , Volume 24 , Number 1 (TRANSACTIONS A: BASICS); Page(s) 1 To 13.
 
Paper: 

NONLINEAR NUMERICAL INTEGRATION SCHEME IN STRAIN SPACE PLASTICITY

 
 
Author(s):  REZAIEE PAJAND M.*, SINAIE S.
 
* DEPARTMENT OF CIVIL ENGINEERING, FERDOWSI UNIVERSITY OF MASHHAD, IRAN
 
Abstract: 
Strains are applied to the integration procedure in nonlinear increments to decrease the errors arising from the linearization of plastic equations. Two deformation vectors are used to achieve this. The first vector is based on the deformations obtained by the first iteration of the equilibrium step, and the second is acquired from the sum of the succeeding iterations. By applying these vectors and using sub-increments, the total strain increment can vary nonlinearly during the integration of the flow rule. Four individual variation schemes are presented for this purpose. In this paper, the strain space formulation is investigated. Numerical examples are analyzed using the traditional linear method and the suggested schemes. The examples are solved using the von Mises yield criterion and Prager's linear hardening rule. Results indicate that all nonlinear techniques increase the convergence rate of plastic analysis. In addition, such integration methods are shown to increase the stability of incremental-iterative analyses.
 
Keyword(s): STRAIN SPACE, PLASTIC ANALYSIS, INTEGRATION METHODS, SUB-INCREMENTATION, CONVERGENCE RATE, ANALYSIS STABILITY, NUMERICAL METHODS
 
References: 
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