A finite operator learning technique for mapping the elastic properties of microstructures to their mechanical deformations

arXiv:2404.00074v1 Announce Type: new
Abstract: To develop faster solvers for governing physical equations in solid mechanics, we introduce a method that parametrically learns the solution to mechanical equilibrium. The introduced method outperforms traditional ones in terms of computational cost while acceptably maintaining accuracy. Moreover, it generalizes and enhances the standard physics-informed neural networks to learn a parametric solution with rather sharp discontinuities. We focus on micromechanics as an example, where the knowledge of the micro-mechanical solution, i.e., deformation and stress …

abstract accuracy arxiv computational cost cs.ce cs.lg cs.na elastic equilibrium faster mapping math.na solid solution terms type