Invariants for rari- and multi-constant theories with generalization to anisotropy in biological tissues

DOI10.1007/s10659-018-9674-5zbMath1415.74007OpenAlexW2803071578WikidataQ129953783 ScholiaQ129953783MaRDI QIDQ2424213

M. B. Rubin, Alexander E. Ehret

Publication date: 24 June 2019

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-018-9674-5

zbMATH Keywords

anisotropybiological tissuespair potentialsstructural tensorsmulti-constantsrari-constants

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Biomechanical solid mechanics (74L15)

Related Items (2)

A new spectral representation of the strain energy function for linear anisotropic elasticity with a generalization for damage ⋮ Irreducible matrix resolution for symmetry classes of elasticity tensors

Uses Software

• Maple

Cites Work

• A note on the Cauchy relations
• An anisotropic discrete fibre model based on a generalised strain invariant with application to soft biological tissues
• On fiber dispersion models: exclusion of compressed fibers and spurious model comparisons
• The Cauchy relations in linear elasticity theory
• Strength of materials and theory of elasticity in 19th century Italy. A brief account of the history of mechanics of solids and structures
• A model for the anisotropic response of fibrous soft tissues using six discrete fibre bundles
• A Simple Derivation of Representations for Non-Polynomial Constitutive Equations in Some Cases of Anisotropy
• Cosserat theories: Shells, rods and points

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