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亚塑性模型是以Jaumann应力率张量及变形率张量描述的一种率型本构关系,本构关系在非线性有限元分析计算中具有关键作用,解决用应变增量求解应力响应的问题需要一个时间积分过程。针对亚塑性本构模型发展了自适应隐式和显式两种不同的积分算法,给出了误差控制的方法,同时推导了自适应隐式积分算法所需的一致切向模量,并采用了两个不同的单元,利用ABAQUS平台比较了两种积分算法的数值模拟结果。为了实现从ABAQUS/Standard到ABAQUS/Explicit的过渡,开发了UMAT-VUMAT接口,从而可以使已有的UMAT子程序用于大变形动力问题分析。算例分析证明了研究结果的正确性。
The sub-plasticity model is a rate constitutive relation described by the Jaumann stress rate tensor and the deformation rate tensor. The constitutive relation plays a key role in the nonlinear finite element analysis and calculation and solves the problem of solving the stress response with strain increment Need a time integration process. For the sub-plastic constitutive model, adaptive implicit and explicit integral algorithms are developed. The error control method is given. At the same time, the consistent tangential modulus required by the adaptive implicit integration algorithm is deduced. Two different units were used to compare the numerical results of two integral algorithms using ABAQUS platform. To enable the transition from ABAQUS / Standard to ABAQUS / Explicit, the UMAT-VUMAT interface was developed to enable existing UMAT subroutines to be used for large deformation dynamical problem analysis. The example analysis proves the correctness of the research results.