Immersed methods for fluid–structure interaction

BE Griffith, NA Patankar - Annual review of fluid mechanics, 2020 - annualreviews.org
Fluid–structure interaction is ubiquitous in nature and occurs at all biological scales.
Immersed methods provide mathematical and computational frameworks for modeling fluid …

Polyconvex anisotropic hyperelasticity with neural networks

DK Klein, M Fernández, RJ Martin, P Neff… - Journal of the Mechanics …, 2022 - Elsevier
In the present work, two machine learning based constitutive models for finite deformations
are proposed. Using input convex neural networks, the models are hyperelastic, anisotropic …

A framework for polyconvex large strain phase-field methods to fracture

C Hesch, AJ Gil, R Ortigosa, M Dittmann… - Computer Methods in …, 2017 - Elsevier
Variationally consistent phase-field methods have been shown to be able to predict complex
three-dimensional crack patterns. However, current computational methodologies in the …

[HTML][HTML] Neural network-based multiscale modeling of finite strain magneto-elasticity with relaxed convexity criteria

KA Kalina, P Gebhart, J Brummund, L Linden… - Computer Methods in …, 2024 - Elsevier
We present a framework for the multiscale modeling of finite strain magneto-elasticity based
on physics-augmented neural networks (NNs). By using a set of problem specific invariants …

Data-driven tissue mechanics with polyconvex neural ordinary differential equations

V Tac, FS Costabal, AB Tepole - Computer Methods in Applied Mechanics …, 2022 - Elsevier
Data-driven methods are becoming an essential part of computational mechanics due to
their advantages over traditional material modeling. Deep neural networks are able to learn …

[KSIĄŻKA][B] Nonlinear solid mechanics for finite element analysis: dynamics

J Bonet, AJ Gil, RD Wood - 2021 - books.google.com
Designing engineering components that make optimal use of materials requires
consideration of the nonlinear static and dynamic characteristics associated with both …

Data-driven modeling of the mechanical behavior of anisotropic soft biological tissue

V Tac, VD Sree, MK Rausch, AB Tepole - Engineering with Computers, 2022 - Springer
Closed-form constitutive models are currently the standard approach for describing soft
tissues' mechanical behavior. However, there are inherent pitfalls to this approach. For …

Fluid–structure interaction models of bioprosthetic heart valve dynamics in an experimental pulse duplicator

JH Lee, AD Rygg, EM Kolahdouz, S Rossi… - Annals of biomedical …, 2020 - Springer
Computer modeling and simulation is a powerful tool for assessing the performance of
medical devices such as bioprosthetic heart valves (BHVs) that promises to accelerate …

A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach

G Scovazzi, B Carnes, X Zeng… - International Journal for …, 2016 - Wiley Online Library
We propose a new approach for the stabilization of linear tetrahedral finite elements in the
case of nearly incompressible transient solid dynamics computations. Our method is based …

[HTML][HTML] A novel Arbitrary Lagrangian Eulerian Smooth Particle Hydrodynamics algorithm for nonlinear solid dynamics

CH Lee, AJ Gil, PRR de Campos, J Bonet… - Computer Methods in …, 2024 - Elsevier
This paper introduces a novel Smooth Particle Hydrodynamics (SPH) computational
framework that incorporates an Arbitrary Lagrangian Eulerian (ALE) formalism, expressed …