The insight of mixtures theory for growth and remodeling

DOI10.1007/s00033-009-0037-8zbMath1273.74063OpenAlexW1998091318MaRDI QIDQ980685

G. Vitale, Davide Ambrosi, Luigi Preziosi

Publication date: 29 June 2010

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-009-0037-8

zbMATH Keywords

Kroner-Lee multiplicative decompositiontensor gradient of deformation

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

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Cites Work

• Unnamed Item
• Incompressible porous media models by use of the theory of mixtures
• Compressible porous media models by use of the theory of mixtures
• Growth and balance.
• A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics
• Lagrangian model of two-phase porous material
• The thermochemistry of a reacting mixture of elastic materials with diffusion
• On the classical theory of reacting fluid mixtures
• On the thermodynamics of chemically reacting fluid mixtures
• A framework for deformation, generalized diffusion, mass transfer and growth in multi-species multi-phase biological tissues
• The role of material in homogeneities in biological growth
• Mathematical Modeling of a Solid-Liquid Mixture with Mass Exchange Between Constituents
• Stress-Modulated Growth
• A CONSTRAINED MIXTURE MODEL FOR GROWTH AND REMODELING OF SOFT TISSUES