论文标题
使用开源工业代码的参数准静态非线性力学的基于投影的降级模型
A projection-based reduced-order model for parametric quasi-static nonlinear mechanics using an open-source industrial code
论文作者
论文摘要
我们为具有内部变量的非线性力学中的一般参数准静态问题提供了基于投影的模型降低程序。该方法集成在工业有限元代码ASTER中。降低模型订单旨在降低工程研究的计算成本，该工程研究涉及许多不同参数的昂贵的高保真差异模型，例如，与材料属性或初始和边界条件相对应。我们基于POD-GREDY策略开发了一种自适应算法，并基于元素的经验正交正交制定了高还原策略，以通过构建适当的减少网格来加快减少订单模型的组装成本。我们引入了一个经济高效的误差指标，该指标依赖于通过Gappy-Pod策略重建压力场。我们为三维弹性系统提供了数值结果，以说明和验证方法。
We propose a projection-based model order reduction procedure for a general class of parametric quasi-static problems in nonlinear mechanics with internal variables. The methodology is integrated in the industrial finite element code code aster. Model order reduction aims to lower the computational cost of engineering studies that involve the simulation to a costly high-fidelity differential model for many different parameters, which correspond, for example to material properties or initial and boundary conditions. We develop an adaptive algorithm based on a POD-Greedy strategy, and we develop an hyper-reduction strategy based on an element-wise empirical quadrature in order to speed up the assembly costs of the reduced-order model by building an appropriate reduced mesh. We introduce a cost-efficient error indicator which relies on the reconstruction of the stress field by a Gappy-POD strategy. We present numerical results for a three-dimensional elastoplastic system in order to illustrate and validate the methodology.
