Generalized variational principles for thermo-chemo-mechanical coupling systems based on decomposition of internal energy
type: Item
instance of: scholarly article
title: Generalized variational principles for thermo-chemo-mechanical coupling systems based on decomposition of internal energy
zbMATH Open document ID: 1500.74001
author: Jia-Hong Zheng
author: Zheng Zhong
published in: Acta Mechanica
publication date: 2022-10-11T00:00:00Z
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74H80
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74F25
zbMATH DE Number: 7599714
zbMATH Keywords: free internal energy
zbMATH Keywords: dissipation energy
zbMATH Keywords: dual-complementary Hu-Washizu variational principle
zbMATH Keywords: energy functional
zbMATH Keywords: Gibbs equation
zbMATH Keywords: thermodynamic force
Wikidata QID: Q114228758
MaRDI profile type: Publication
full work available at URL: s00707-022-03283-7
OpenAlex ID: W4292178522
cites work: A coupled theory of fluid permeation and large deformations for elastomeric materials
cites work: Poromechanics of freezing materials
cites work: Q5327672
cites work: On the direct interactions between heat transfer, mass transport and chemical processes within gradient elasticity
cites work: A chemo-thermo-mechanically coupled theory for elastic-viscoplastic deformation, diffusion, and volumetric swelling due to a chemical reaction
cites work: Unconventional Hamilton-type variational principles for nonlinear coupled thermoelastodynamics
cites work: Unconventional Hamilton-type variational principles for electromagnetic elastodynamics
cites work: Non-equilibrium thermodynamics and variational principles for fully coupled thermal-mechanical-chemical processes
cites work: Strong convergent approximations of null controls for the 1D heat equation
cites work: A nonlinear, transient finite element method for coupled solvent diffusion and large deformation of hydrogels
cites work: Conservation laws and path-independent integrals in mechanical-diffusion-electrochemical reaction coupling system
cites work: On the existence of symmetry relations and dissipation potentials
cites work: Variational principles for generalized dynamical theory of thermopiezoelectricity
cites work: Variational principles for generalized thermodiffusion theory in pyroelectricity
cites work: Chemical kinetics, stochastic processes, and irreversible thermodynamics
cites work: The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
cites work: On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects
DOI: 10.1007/S00707-022-03283-7
description: scientific article; zbMATH DE number 7599714