Integrated heart—coupling multiscale and multiphysics models for the simulation of the cardiac function

A Quarteroni, T Lassila, S Rossi… - Computer Methods in …, 2017 - Elsevier
Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …

Extended B‐spline‐based implicit material point method enhanced by F‐bar projection method to suppress pressure oscillation

R Sugai, J Han, Y Yamaguchi… - International Journal …, 2023 - Wiley Online Library
An enhancement of the extended B‐spline‐based implicit material point method (EBS‐
MPM) is developed to avoid pressure oscillation and volumetric locking. The EBS‐MPM is a …

A new framework for large strain electromechanics based on convex multi-variable strain energies: variational formulation and material characterisation

AJ Gil, R Ortigosa - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
Following the recent work of Bonet et al.(2015), this paper postulates a new convex multi-
variable variational framework for the analysis of Electro Active Polymers (EAPs) in the …

A linearized consistent mixed displacement-pressure formulation for hyperelasticity

C Kadapa, M Hossain - Mechanics of Advanced Materials and …, 2022 - Taylor & Francis
We propose a novel mixed displacement-pressure formulation based on an energy
functional that takes into account the relation between the pressure and the volumetric …

Fluid-structure interaction modeling of blood flow in the pulmonary arteries using the unified continuum and variational multiscale formulation

J Liu, W Yang, IS Lan, AL Marsden - Mechanics research communications, 2020 - Elsevier
In this work, we present a computational fluid-structure interaction (FSI) study for a healthy
patient-specific pulmonary arterial tree using the unified continuum and variational …

Adaptive stabilized mixed formulation for phase field fracture modeling of nearly incompressible finite elasticity

F Tian, M Zhang, J Zeng, B Li, L Li - International Journal of Mechanical …, 2022 - Elsevier
The recently proposed mixed displacement-pressure-phase field formulation characterized
by damage-mitigating incompressibility constraints excels in fracture modeling of nearly …

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 …

[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 …

Implicit finite incompressible elastodynamics with linear finite elements: A stabilized method in rate form

S Rossi, N Abboud, G Scovazzi - Computer Methods in Applied Mechanics …, 2016 - Elsevier
We propose a stabilization method for linear tetrahedral finite elements, suitable for the
implicit time integration of the equations of nearly and fully incompressible nonlinear …

[HTML][HTML] Mixed displacement–pressure formulations and suitable finite elements for multimaterial problems with compressible and incompressible models

C Kadapa - Computer methods in applied mechanics and …, 2024 - Elsevier
Multimaterial problems in linear and nonlinear elasticity are some of the least explored using
mixed finite element formulations with higher-order elements. The fundamental issue in …