Nonlinear Model Order Reduction on Polynomial Manifolds for Computational Homogenisation Problems

Key Points

• The central aim is to explore efficient methods for solving computational homogenisation problems using nonlinear model order reduction techniques.
• Utilized polynomial manifold approach for nonlinear approximation.
• Applied hyperreduction techniques to improve computational efficiency.
• Focused on hyperelastic quasi-static representative volume elements (RVE) problems.
• Achieved multiple orders of magnitude acceleration in computations.
• Demonstrated effective low-dimensional approximation solutions.
• Validated the polynomial manifold approach for hyperelastic systems.