TY - JOUR
T1 - Measure-valued loads for a hyperelastic model of soft tissues
AU - Marzocchi, Alfredo
AU - Musesti, Alessandro
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
KW - Calculus of variations
KW - Nonlinear elasticity
KW - Variational inequalities
KW - Calculus of variations
KW - Nonlinear elasticity
KW - Variational inequalities
UR - http://hdl.handle.net/10807/189742
U2 - 10.1016/j.ijnonlinmec.2021.103826
DO - 10.1016/j.ijnonlinmec.2021.103826
M3 - Article
SN - 0020-7462
VL - 137
SP - 103826-N/A
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
ER -