Search Results for author: Vahidullah Tac

Found 5 papers, 3 papers with code

Generative Hyperelasticity with Physics-Informed Probabilistic Diffusion Fields

no code implementations11 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.

Data-driven anisotropic finite viscoelasticity using neural ordinary differential equations

1 code implementation11 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.

Data-driven Tissue Mechanics with Polyconvex Neural Ordinary Differential Equations

1 code implementation3 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.

Data-driven Modeling of the Mechanical Behavior of Anisotropic Soft Biological Tissue

1 code implementation8 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.

Predicting the Mechanical Properties of Biopolymer Gels Using Neural Networks Trained on Discrete Fiber Network Data

no code implementations23 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.

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