Remodeling and growth of living tissue: a multiphase theory

DOI10.1007/s00419-009-0383-1zbMath1271.74322OpenAlexW2047452113MaRDI QIDQ363078

Tim Ricken, Joachim Bluhm

Publication date: 30 August 2013

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-009-0383-1

zbMATH Keywords

growthphase transitionbiomechanicsremodelingmultiphasetissue modeling

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Related Items (5)

Micromechanical analysis of volumetric growth in the context of open systems thermodynamics and configurational mechanics. Application to tumor growth ⋮ Concentration driven phase transitions in multiphase porous media with application to methane oxidation in landfill cover layers ⋮ Micro‐macro modelling of steel solidification: A continuum mechanical, bi‐phasic, two‐scale model including thermal driven phase transition ⋮ Chemomechanical models for soft tissues based on the reconciliation of porous media and swelling polymer theories ⋮ Modeling of dynamic hydrogel swelling within the pore space of a porous medium

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An introduction to structural optimization
• The thermodynamics of elastic materials with heat conduction and viscosity
• Incompressible porous media models by use of the theory of mixtures
• Compressible porous media models by use of the theory of mixtures
• Convexity conditions and existence theorems in nonlinear elasticity
• On the canonical representations for Kronecker powers of orthogonal tensors with application to material symmetry problems
• Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.
• Tensors which characterize anisotropies
• A variational approach for materially stable anisotropic hyperelasticity
• A polyconvex framework for soft biological tissues. Adjustment to experimental data
• Continuum Biomechanics Applied to the Human Intervertebral Disc
• A new constitutive framework for arterial wall mechanics and a comparative study of material models
• Finite element modelling of orthotropic material behaviour in pneumatic membranes

This page was built for publication: Remodeling and growth of living tissue: a multiphase theory