An open-source finite volume toolbox for solid mechanics and fluid-solid interaction simulations

P Cardiff, A Karač, P De Jaeger, H Jasak… - arXiv preprint arXiv …, 2018 - arxiv.org
Over the past 30 years, the cell-centred finite volume method has developed to become a
viable alternative to the finite element method in the field of computational solid mechanics …

Thirty years of the finite volume method for solid mechanics

P Cardiff, I Demirdžić - Archives of Computational Methods in Engineering, 2021 - Springer
Since early publications in the late 1980s and early 1990s, the finite volume method has
been shown suitable for solid mechanics analyses. At present, there are several flavours of …

A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics

W Boscheri, M Dumbser, M Ioriatti, I Peshkov… - Journal of …, 2021 - Elsevier
We propose a new pressure-based structure-preserving (SP) and quasi asymptotic
preserving (AP) staggered semi-implicit finite volume scheme for the unified first order …

[HTML][HTML] A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for nonlinear solid dynamics in irreversible processes

TBJ Di Giusto, CH Lee, AJ Gil, J Bonet, C Wood… - Journal of …, 2024 - Elsevier
The paper introduces a computational framework that makes use of a novel Arbitrary
Lagrangian Eulerian (ALE) conservation law formulation for nonlinear solid dynamics. In …

Numerical recipes for elastodynamic virtual element methods with explicit time integration

K Park, H Chi, GH Paulino - International Journal for Numerical …, 2020 - Wiley Online Library
We present a general framework to solve elastodynamic problems by means of the virtual
element method (VEM) with explicit time integration. In particular, the VEM is extended to …

Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity

I Peshkov, W Boscheri, R Loubere, E Romenski… - Journal of …, 2019 - Elsevier
The aim of this paper is to compare a hyperelastic with a hypoelastic model describing the
Eulerian dynamics of solids in the context of non-linear elastoplastic deformations …

Unified non-hourglass formulation for total Lagrangian SPH solid dynamics

D Wu, X Tang, S Zhang, X Hu - Computational Mechanics, 2024 - Springer
The persistence of hourglass modes poses a significant numerical instability issue in total
Lagrangian smoothed particle hydrodynamics (TLSPH) solid dynamics, especially when …

A first order hyperbolic framework for large strain computational solid dynamics. Part III: Thermo-elasticity

J Bonet, CH Lee, AJ Gil, A Ghavamian - Computer Methods in Applied …, 2021 - Elsevier
Abstract In Parts I (Bonet et al., 2015) and II (Gil et al., 2016) of this series, a novel
computational framework was presented for the numerical analysis of large strain fast solid …

A new Jameson–Schmidt–Turkel Smooth Particle Hydrodynamics algorithm for large strain explicit fast dynamics

CH Lee, AJ Gil, G Greto, S Kulasegaram… - Computer Methods in …, 2016 - Elsevier
This paper presents a new Smooth Particle Hydrodynamics (SPH) computational framework
for large strain explicit solid dynamics. A mixed-based set of Total Lagrangian conservation …

Finite element approximation of stabilized mixed models in finite strain hyperelasticity involving displacements and stresses and/or pressure—An overview of …

R Codina, I Castañar, J Baiges - International Journal for …, 2024 - Wiley Online Library
This paper presents mixed finite element formulations to approximate the hyperelasticity
problem using as unknowns the displacements and either stresses or pressure or both …