Component-wise hyperreduction for nonlinear solid mechanics problems

2026-08-19

AI Summary

该研究通过使用POD和ECSW方法在组件级别上生成超简化非线性固体力学模型，解决了复杂装配体高效模拟问题。

Abstract

Hyperreduced nonlinear solid-mechanics components can be generated offline and reused as transferable building blocks across different assemblies, boundary conditions, meshes, material parameters, and constitutive models. We use proper orthogonal decomposition (POD) and energy conserving sampling and weighting (ECSW) on the component level and connect the substructures by mortar mesh tying. The POD modes and the ECSW weights and elements are computed offline from simulations of single components and the finite rigid body motions are treated by 12 additional rigid body modes per substructure. The numerical examples demonstrate errors below 1 \% for large quasi-static assemblies while evaluating less than 10 \% of the elements. The same component bases and ECSW elements are successfully reused for finite-strain viscoelastic dynamics, although they were trained only on elastic Neo-Hookean component simulations. These results indicate that component-wise hyperreduction can provide reusable reduced building blocks for modular nonlinear solid-mechanics simulations.

Problem

• hyperreduction
• nonlinear solid mechanics
• component-wise
• transferable building blocks

Innovation

• component-wise hyperreduction
• proper orthogonal decomposition (POD)
• energy conserving sampling and weighting (ECSW)
• mortar mesh tying
• reusable reduced building blocks