2007/01/31 by Krishna Garikipati, K. Garikipati, S. Göktepe +3
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #Anatomy #Biological system #Biology #Cellular Mechanics and Interactions #Classical mechanics #Deformation (meteorology) #Elasticity and Material Modeling #Energy density #Finite element method #Function (biology) #Kinematics #Mathematical analysis #Mathematics #Mechanical Engineering and Vibrations Research #Mechanics #Partial differential equation #Physics #Simple (philosophy) #Strain (injury) #Strain energy #Strain energy density function #Theoretical physics #Thermodynamics #q-bio.QM #q-bio.TO
paper · pdf · doi:10.1016/j.jmps.2007.07.005
To appear in J. Mech. Phys. Solids
openalex publication_date 2007/07/17 · arxiv created 2007/07/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Continuum strain energy functions are developed for soft biological tissues that possess long fibrillar components. The treatment is based on the model of an elastica, which is our fine scale model, and is homogenized in a simple fashion to obtain a continuum strain energy function. Notably, we avoid solving the full fourth-order, nonlinear, partial differential equation for the elastica by resorting to other assumptions, kinematic and energetic, on the response of the individual, elastica-like fibrils.