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.

Marzocchi, A., Musesti, A., Measure-valued loads for a hyperelastic model of soft tissues, <<INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS>>, 2021; 137 (December 2021): 103826-N/A. [doi:10.1016/j.ijnonlinmec.2021.103826] [http://hdl.handle.net/10807/189742]

Measure-valued loads for a hyperelastic model of soft tissues

Marzocchi;A.; Musesti
2021

Abstract

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.
Inglese
Marzocchi, A., Musesti, A., Measure-valued loads for a hyperelastic model of soft tissues, <<INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS>>, 2021; 137 (December 2021): 103826-N/A. [doi:10.1016/j.ijnonlinmec.2021.103826] [http://hdl.handle.net/10807/189742]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/189742
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