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Generalized in situ adaptive tabulation for constitutive model evaluation in plasticity

机译：用于塑性本构模型评估的广义原位自适应制表

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摘要

A database storage, search and retrieval method of constitutive model responses for use in plasticity simulations is developed to increase the computational efficiency of finite element simulations employing complex nonlinear material models. The method is based in the in situ adaptive tabulation method that has been successfully applied in the field of combustion chemistry, but is significantly modified to better handle the system of equations in plasticity. When using the database, the material response is estimated by a linear extrapolation from an appropriate database entry. This is shown to provide a response with an acceptable error tolerance. Two different example problems are chosen to demonstrate the behavior of the constitutive model estimation technique; a dynamic shock simulation, and a quasi-static inhomogeneous deformation simulation. This generalized in situ adaptive tabulation method shows promise for enabling simulations with complex multi-physics and multi-length scale constitutive descriptions.
机译：建立了用于塑性模拟的本构模型响应的数据库存储，搜索和检索方法，以提高采用复杂非线性材料模型的有限元模拟的计算效率。该方法基于原位自适应制表法，该方法已在燃烧化学领域成功应用，但已进行了重大改进以更好地处理可塑性方程组。当使用数据库时，通过从适当的数据库条目进行线性外推来估计材料响应。显示这可以提供具有可接受的容错能力的响应。选择了两个不同的示例问题来演示本构模型估计技术的行为。动态冲击仿真和准静态非均匀变形仿真。这种通用的原位自适应制表方法显示了实现具有复杂多物理场和多长度尺度本构描述的模拟的希望。

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