Modelling fibers in growing disks of soft tissues

DOI10.1177/1081286514550571zbMath1327.74108OpenAlexW1992009889MaRDI QIDQ3453620

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Publication date: 27 November 2015

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286514550571

zbMATH Keywords

invariantsbifurcationfibervolumetric growthneo-Hookean elasticity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Cites Work

• At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials
• On the modeling of extension-torsion experimental data for transversely isotropic biological soft tissues
• Swelling instability of surface-attached gels as a model of soft tissue growth under geometric constraints
• Pattern formation in fiber-reinforced tubular tissues: folding and segmentation during epithelial growth
• A representation theorem for volume-preserving transformations
• The generalized Hill model: a kinematic approach towards active muscle contraction
• Constitutive modelling of arteries
• Crumpled paper

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