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The algorithmic tangent modulus at finite strains in current configuration plays an important role in the nonlinear finite element method. In this work, the exact tensorial forms of the algorithmic tangent modulus at finite strains are derived in the principal space and their corresponding matrix expressions are also presented. The algorithmic tangent modulus consists of two terms. The first term depends on a specific yield surface, while the second term is independent of the specific yield surface. The elastoplastic matrix in the principal space associated with the specific yield surface is derived by the logarithmic strains in terms of the local multiplicative decomposition. The Drucker-Prager yield function of elastoplastic material is used as a numerical example to verify the present algorithmic tangent modulus at finite strains. 相似文献
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非局部模型与变形局部化数值模拟 总被引:1,自引:0,他引:1
基于非线性身体场论,建立了材料非局部连续模型、变分方程及相应的实时拖带系大变形有限元数值模型,设计了这一模型的数值卷积算法,由于广义函数弱收敛定理和卷积理论,证明所提出的非局部连续模型具备收敛性和稳定性。并阐明了材料特征尺度数学物理意义,统计加权函数的选择原则,数值结果表明非局部模型描述变形局部化问题是适当的。 相似文献
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