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Measure-valued loads for a hyperelastic model of soft tissues.
- Source :
-
International Journal of Non-Linear Mechanics . Dec2021, Vol. 137, pN.PAG-N.PAG. 1p. - Publication Year :
- 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. • 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207462
- Volume :
- 137
- Database :
- Academic Search Index
- Journal :
- International Journal of Non-Linear Mechanics
- Publication Type :
- Academic Journal
- Accession number :
- 153453786
- Full Text :
- https://doi.org/10.1016/j.ijnonlinmec.2021.103826