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Immersed methods for fluid–structure interaction
Fluid–structure interaction is ubiquitous in nature and occurs at all biological scales.
Immersed methods provide mathematical and computational frameworks for modeling fluid …
Immersed methods provide mathematical and computational frameworks for modeling fluid …
Polyconvex anisotropic hyperelasticity with neural networks
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 …
are proposed. Using input convex neural networks, the models are hyperelastic, anisotropic …
A framework for polyconvex large strain phase-field methods to fracture
Variationally consistent phase-field methods have been shown to be able to predict complex
three-dimensional crack patterns. However, current computational methodologies in the …
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
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 …
on physics-augmented neural networks (NNs). By using a set of problem specific invariants …
Data-driven tissue mechanics with polyconvex neural ordinary differential equations
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 …
their advantages over traditional material modeling. Deep neural networks are able to learn …
[KSIĄŻKA][B] Nonlinear solid mechanics for finite element analysis: dynamics
Designing engineering components that make optimal use of materials requires
consideration of the nonlinear static and dynamic characteristics associated with both …
consideration of the nonlinear static and dynamic characteristics associated with both …
Data-driven modeling of the mechanical behavior of anisotropic soft biological tissue
Closed-form constitutive models are currently the standard approach for describing soft
tissues' mechanical behavior. However, there are inherent pitfalls to this approach. For …
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
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 …
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
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 …
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
This paper introduces a novel Smooth Particle Hydrodynamics (SPH) computational
framework that incorporates an Arbitrary Lagrangian Eulerian (ALE) formalism, expressed …
framework that incorporates an Arbitrary Lagrangian Eulerian (ALE) formalism, expressed …