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力学学报  1994 

CONSISTENT TANGENT STIFFNESS METHOD AND ITS APPLICATION TO THREE-DIMENSIONAL ELASTOPLASTIC FINITE ELEMENT ANALYSIS
一致切线刚度法在三维弹塑性有限元分析中的应用

Keywords: consistent tangent stiffness,elastoplaistic finite elements,stress drifts,complementary criteria,increment-iterative
一致切线刚度,弹塑性有限元,应力漂移,互补准则,增量迭代

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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).

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