no code implementations • 11 Sep 2023 • Vahidullah Tac, Manuel K Rausch, Ilias Bilionis, Francisco Sahli Costabal, Adrian Buganza Tepole
We extend our approach to spatially correlated diffusion resulting in heterogeneous material properties for arbitrary geometries.
1 code implementation • 3 Oct 2021 • Vahidullah Tac, Francisco S. Costabal, Adrian Buganza Tepole
In this study, we use a novel class of neural networks, known as neural ordinary differential equations (N-ODEs), to develop data-driven material models that automatically satisfy polyconvexity of the strain energy function with respect to the deformation gradient, a condition needed for the existence of minimizers for boundary value problems in elasticity.
no code implementations • 23 Jan 2021 • Yue Leng, Vahidullah Tac, Sarah Calve, Adrian Buganza Tepole
In this work, the FCNN trained on the discrete fiber network data was used in finite element simulations of fibrin gels using our UMAT.
no code implementations • 5 Oct 2020 • Casey Stowers, Taeksang Lee, Ilias Bilionis, Arun Gosain, Adrian Buganza Tepole
The optimization task relies on the efficiency of the GP surrogates to calculate the expected cost of different strategies when the uncertainty of other material parameters is included.