A model for fibre-matrix interaction in non-linearly elastic incompressible orthotropic materials

DOI10.1007/S10665-021-10114-6zbMath1483.35252OpenAlexW3137586815MaRDI QIDQ2061019

Cornelius O. Horgan, Jeremiah G. Murphy

Publication date: 13 December 2021

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-021-10114-6

zbMATH Keywords

incompressibilityorthotropicmatrix-fibre interactionnon-linearly elastic

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Elastic constants and their admissible values for incompressible and slightly compressible anisotropic materials
• Some unexpected behaviour in shear for elasticity models of arterial tissue that only use the I1, I4, I6 invariants
• Review Paper: Continuum biomechanics of soft biological tissues
• Nonlinear Theory of Elasticity
• Biomechanics: Trends in Modeling and Simulation
• A new constitutive framework for arterial wall mechanics and a comparative study of material models

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