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 • 11 Jan 2023 • Vahidullah Tac, Manuel K. Rausch, Francisco Sahli-Costabal, Adrian B. Tepole
We develop a fully data-driven model of anisotropic finite viscoelasticity using neural ordinary differential equations as building blocks.
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.
1 code implementation • 8 Jul 2021 • Vahidullah Tac, Vivek D. Sree, Manuel K. Rausch, Adrian B. Tepole
The neural network material model can then be interpreted as the best extension of an expert model: it learns the features that an expert has encoded in the analytical model while fitting the experimental data better.
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.