Measure-valued loads for a hyperelastic model of soft tissues

We study a simplified version of a class of constitutive relations used to describe large deformations of soft tissues, where the elastic energy density involves an exponential term. The class was originally introduced by Y.C. Fung as a model of many biological soft tissues in a series of papers dur...

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Published in:International journal of non-linear mechanics 2021-12, Vol.137, p.103826, Article 103826
Main Authors: Marzocchi, Alfredo, Musesti, Alessandro
Format: Article
Language:English
Subjects:
Boundary conditions
Calculus of variations
Constitutive relationships
Elastic deformation
Euler-Lagrange equation
Flux density
Nonlinear elasticity
Soft tissues
Variational inequalities
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description We study a simplified version of a class of constitutive relations used to describe large deformations of soft tissues, where the elastic energy density involves an exponential term. The class was originally introduced by Y.C. Fung as a model of many biological soft tissues in a series of papers during the Seventies. We prove existence and uniqueness of the equilibrium solution for a general measure-valued external load, under quite general boundary conditions, and study the validity of the associated Euler–Lagrange equation in the sense of distributions. •A class of hyperelastic materials involving an exponential term is studied.•We prove existence and uniqueness of the equilibrium solution for a general measure-valued external load.•The validity of the associated Euler–Lagrange equation in the sense of distributions is proved.
doi_str_mv 10.1016/j.ijnonlinmec.2021.103826
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subjects Boundary conditions
Calculus of variations
Constitutive relationships
Elastic deformation
Euler-Lagrange equation
Flux density
Nonlinear elasticity
Soft tissues
Variational inequalities
title Measure-valued loads for a hyperelastic model of soft tissues
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