Cell-to-Muscle homogenization. Application to a constitutive law for the myocardium

DOI10.1051/m2an:2003054zbMath1070.74030OpenAlexW2023615360MaRDI QIDQ5465533

Denis Caillerie, Ayman Mourad, Annie Raoult

Publication date: 9 August 2005

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2003__37_4_681_0

zbMATH Keywords

large displacementelastic barsquasiperiodic discrete lattice

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Homogenization in equilibrium problems of solid mechanics (74Q05) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Related Items (8)

On the Variational Limits of Lattice Energies on Prestrained Elastic Bodies ⋮ Discrete homogenization in graphene sheet modeling ⋮ Nets with hexagonal cell structure ⋮ Multi-scale modelling of arterial tissue: linking networks of fibres to continua ⋮ Wave propagation and non-local effects in periodic frame materials: Generalized continuum mechanics ⋮ Small amplitude homogenization applied to models of non-periodic fibrous materials ⋮ Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity ⋮ Elastic lattices: equilibrium, invariant laws and homogenization

Cites Work

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• Three models of non periodic fibrous materials obtained by homogenization
• Computational mechanics of the heart.
• Effect of laminar orthotropic myofiber architecture on regional stress and strain in the canine left ventricle
• Modeling heart development
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