Search Results for author: Adrian Buganza Tepole

Found 4 papers, 1 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 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.

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.

Total Energy

Improving Reconstructive Surgery Design using Gaussian Process Surrogates to Capture Material Behavior Uncertainty

no code implementations5 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.

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