A model for the anisotropic response of fibrous soft tissues using six discrete fibre bundles

DOI10.1002/cnm.1440zbMath1242.92008OpenAlexW1968652226MaRDI QIDQ2892478

Poul M. F. Nielsen, Cormac Flynn, M. B. Rubin

Publication date: 18 June 2012

Published in: International Journal for Numerical Methods in Biomedical Engineering (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:41257c8b-e8c9-402a-b399-107645b56db0

zbMATH Keywords

constitutive modelsoft tissue mechanicsanalytical distribution functions

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Probabilistic models, generic numerical methods in probability and statistics (65C20) Plastic materials, materials of stress-rate and internal-variable type (74C99) Biomechanics (92C10) Biophysics (92C05)

Related Items (3)

Mathematical and computational modelling of skin biophysics: a review ⋮ An anisotropic discrete fibre model based on a generalised strain invariant with application to soft biological tissues ⋮ Invariants for rari- and multi-constant theories with generalization to anisotropy in biological tissues

Cites Work

• Finite element simulations of orthotropic hyperelasticity.
• A Microstructurally Based Orthotropic Hyperelastic Constitutive Law
• Numerical integration on the sphere and its effect on the material symmetry of constitutive equations-A comparative study
• A Universal Model for the Elastic, Inelastic and Active Behaviour of Soft Biological Tissues
• Efficient Numerical Integration on the Surface of a Sphere
• Isotropy of Strain Energy Functions Which Depend Only on a Finite Number of Directional Strain Measures
• A Full-Network Rubber Elasticity Model based on Analytical Integration
• A new constitutive framework for arterial wall mechanics and a comparative study of material models

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