亚塑性模型不同积分算法的数值实现
发布时间：2018-08-26 09:57
【摘要】：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。
[Abstract]:The sub-plastic model is a kind of rate-type constitutive relation described by Jaumann stress rate Zhang Liang and Zhang Liang deformation rate. The constitutive relation plays a key role in the calculation of nonlinear finite element analysis. To solve the problem of stress response by strain increment, a time integral process is needed. In this paper, two kinds of adaptive implicit and explicit integral algorithms are developed for the subplastic constitutive model, and the error control method is given. At the same time, the uniform tangential modulus required by the adaptive implicit integral algorithm is derived, and two different elements are used. The numerical simulation results of two integration algorithms are compared by using ABAQUS platform. In order to realize the transition from ABAQUS/Standard to ABAQUS/Explicit, the UMAT-VUMAT interface is developed, so that the existing UMAT subprograms can be used to analyze large deformation dynamic problems. An example is given to show the correctness of the results.
【作者单位】： 天津大学水利工程仿真与安全国家重点实验室;
【分类号】：TU43
，
本文编号：2204505
[Abstract]:The sub-plastic model is a kind of rate-type constitutive relation described by Jaumann stress rate Zhang Liang and Zhang Liang deformation rate. The constitutive relation plays a key role in the calculation of nonlinear finite element analysis. To solve the problem of stress response by strain increment, a time integral process is needed. In this paper, two kinds of adaptive implicit and explicit integral algorithms are developed for the subplastic constitutive model, and the error control method is given. At the same time, the uniform tangential modulus required by the adaptive implicit integral algorithm is derived, and two different elements are used. The numerical simulation results of two integration algorithms are compared by using ABAQUS platform. In order to realize the transition from ABAQUS/Standard to ABAQUS/Explicit, the UMAT-VUMAT interface is developed, so that the existing UMAT subprograms can be used to analyze large deformation dynamic problems. An example is given to show the correctness of the results.
【作者单位】： 天津大学水利工程仿真与安全国家重点实验室;
【分类号】：TU43
，
本文编号：2204505
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