Measure-valued loads for a hyperelastic model of soft tissues

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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.
Original languageEnglish
Pages (from-to)103826-N/A
Number of pages5
JournalInternational Journal of Non-Linear Mechanics
Publication statusPublished - 2021


  • Calculus of variations
  • Nonlinear elasticity
  • Variational inequalities


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