Mass transport in morphogenetic processes: a second gradient theory for volumetric growth and material remodeling
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Publication:443672
DOI10.1016/j.jmps.2011.11.011zbMath1244.74084OpenAlexW2031799228MaRDI QIDQ443672
Pasquale Ciarletta, Davide Ambrosi, Gérard A. Maugin
Publication date: 13 August 2012
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11311/632396
Thermal effects in solid mechanics (74F05) Transformations involving diffusion in solids (74N25) Biomechanics (92C10) Biomechanical solid mechanics (74L15)
Related Items (12)
Mathematical modeling of neo-Hookean material growth ⋮ Modeling the isotropic growth of incompressible neo-Hookean material ⋮ Mathematical Modeling of Morphogenesis in Living Materials ⋮ Some remarks on generalized continuum mechanics ⋮ Geometrically nonlinear higher-gradient elasticity with energetic boundaries ⋮ A study of growth and remodeling in isotropic tissues, based on the Anand‐Aslan‐Chester theory of strain‐gradient plasticity ⋮ Mechanobiology and morphogenesis in living matter: a survey ⋮ Thermomechanics of material growth and remodeling in uniform bodies based on the micromorphic theory ⋮ Global solvability of the regularized problem of growing hyperelastic materials ⋮ Nonconvex model of material growth: mathematical theory ⋮ Volumetric growth of neo-Hookean incompressible material ⋮ Volumetric material growth: mathematical theory
Cites Work
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- Perspectives on biological growth and remodeling
- Swelling instability of surface-attached gels as a model of soft tissue growth under geometric constraints
- On the mechanics of a growing tumor
- Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity
- Mechanical modeling of growth considering domain variation. II: Volumetric and surface growth involving Eshelby tensors
- On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability
- Biological inferences from a mathematical model of comedo ductal carcinoma in situ of the breast
- Morphogenesis of thin hyperelastic plates: A constitutive theory of biological growth in the Föppl-von Kármán limit
- Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
- The insight of mixtures theory for growth and remodeling
- A theory of coupled diffusion and large deformation in polymeric gels
- The thermodynamics of elastic materials with heat conduction and viscosity
- Pseudomomentum and material forces in nonlinear elasticity: Variational formulations and application to brittle fracture
- The symmetry group of second-grade materials
- Bone remodelling. I: Theory of adaptive elasticity
- Eshelby stress in elastoplasticity and ductile fracture
- On the integrability of second-order \(G\)-structures with applications to continuous theorems of dislocations
- Edge contact forces and quasi-balanced power
- Growth and balance.
- Pseudo-plasticity and pseudo-inhomogeneity effects in materials mechanics
- Thermomechanics of volumetric growth in uniform bodies
- A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics
- Modelling the early growth of ductal carcinoma in situ of the breast
- Growth of nonnecrotic tumors in the presence and absence of inhibitors
- Material inhomogeneities and their evolution. A geometric approch.
- Configurational Forces
- Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
- On constitutive and configurational aspects of models for gradient continua with microstructure
- Stress-Modulated Growth
- Continuum model of epithelial morphogenesis during Caenorhabditis elegans embryonic elongation
- Towards a unified theory for morphomechanics
- Generalized Hooke's law for isotropic second gradient materials
- On the Material Setting of Gradient Hyperelasticity
- Toward a Complete Second-Order Evolution Law
- On the modelling of anisotropic elastic and inelastic material behaviour at large deformation
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