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力学学报 1994
CONSISTENT TANGENT STIFFNESS METHOD AND ITS APPLICATION TO THREE-DIMENSIONAL ELASTOPLASTIC FINITE ELEMENT ANALYSIS
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Abstract:
A method,called the Consistent Tangent Stiffness Method (CTSM),isproposed in this paper.we apply CTSM to the solution of three-dimensional elastoplas-tic problems.The method satisfies the complementary criteria of loading and unloading.and furthermore it is characterized by the advantages of preserving the asymptotic rateof quadratic convergency,consuming less computational tinie, holding the first order ac-curacy and unconditional stability.The problems of slow convergence and low accuracy,which have existed all along in the increment-iterative elastoplastic finite eleinent analvsis.have been solved.By the numerical experiments, the accuracy,the rate of convergellce andthe amount of computation of CTSM hat,e been compared with those of classical tangentstiffness method(both path-dependent and path-independent update procedures).