Theories of Growth

DOI10.1007/978-3-030-31547-4_9zbMath1472.74017OpenAlexW2988300568MaRDI QIDQ3295889

Marcelo Epstein

Publication date: 3 July 2020

Published in: Constitutive Modelling of Solid Continua (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-31547-4_9

zbMATH Keywords

balance equationconstitutive theorymorphogenesisremodellingageing

Mathematics Subject Classification ID

Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items

Existence results for a morphoelastic model ⋮ Micromorphic balance equations in mass transport and mass production

Uses Software

• Matlab

Cites Work

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• The mathematics and mechanics of biological growth
• Kinetics of boundary growth
• Self-diffusion in remodeling and growth
• Bone remodelling. I: Theory of adaptive elasticity
• On smoothly growing bodies and the Eshelby tensor
• Thermomechanics of volumetric growth in uniform bodies
• A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics
• Material inhomogeneities and their evolution. A geometric approch.
• Materially uniform simple bodies with inhomogeneities
• On Cauchy's equations of motion
• Mathematical characterization and identification of remodeling, growth, aging and morphogenesis
• Mass– and volume–specific views on thermodynamics for open systems
• The chemical basis of morphogenesis
• Invariance in growth and mass transport
• The force on an elastic singularity