A mechanical theory of growth

DOI10.1007/S10659-023-10042-9MaRDI QIDQ6612671

Yi-chao Chen

Publication date: 1 October 2024

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

constitutive theory for growthdirectional density functionsurface and volumetric growth

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Theory of constitutive functions in solid mechanics (74A20) PDEs in connection with mechanics of deformable solids (35Q74) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10) Initial value problems for systems of linear first-order PDEs (35F40) Mathematical modeling or simulation for problems pertaining to mechanics of particles and systems (70-10)

Cites Work

• Title not available (Why is that?)
• The mathematics and mechanics of biological growth
• On the mechanics of a growing tumor
• Plasticity theory formulated in terms of physically based microstructural variables. I: Theory
• A unified theoretical structure for modeling interstitial growth and muscle activation in soft tissues
• A new analysis of stresses in arteries based on an Eulerian formulation of growth in tissues
• An introduction to continuum mechanics
• Nonlinear mechanics of accretion
• Nonequilibrium thermodynamics and rheology of viscoelastic polymer media
• CALCULATION OF HYPERELASTIC RESPONSE OF FINITELY DEFORMED ELASTIC-VISCOPLASTIC MATERIALS
• The Thermodynamics of Irreversible Processes. IV. The Theory of Elasticity and Anelasticity

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