An Eulerian formulation of a growing constrained elastic-viscoplastic generalized membrane
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Publication:6064109
DOI10.1007/s10659-022-09919-yzbMath1529.74044OpenAlexW4292323875MaRDI QIDQ6064109
Publication date: 8 November 2023
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-022-09919-y
elastic deformation measuregeneralized Cosserat shell theoryisothermal elastic-viscoplastic constitutive equationtime-dependent inelastic homeostasiszero-stress growth
Cites Work
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- The mathematics and mechanics of biological growth
- Perspectives on biological growth and remodeling
- Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration
- On the mechanics of growing thin biological membranes
- Hyperbolic heat conduction and the second law
- Bone remodelling. I: Theory of adaptive elasticity
- Plasticity theory formulated in terms of physically based microstructural variables. I: Theory
- On the treatment of elastic deformation in finite elastic-viscoplastic theory
- Variational convergence for nonlinear shell models with directors and related semicontinuity and relaxation results
- A unified theoretical structure for modeling interstitial growth and muscle activation in soft tissues
- Removal of unphysical arbitrariness in constitutive equations for elastically anisotropic nonlinear elastic-viscoplastic solids
- The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- Erratum to: ``Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration
- Continuum mechanics with Eulerian formulations of constitutive equations
- Invariance under superposed rigid body motions with constraints
- Non-isothermal theory of rods, plates and shells
- Nonequilibrium thermodynamics and rheology of viscoelastic polymer media
- The Equations of Mechanical Equilibrium of a Model Membrane
- Elastic Growth Models
- A CONSTRAINED MIXTURE MODEL FOR GROWTH AND REMODELING OF SOFT TISSUES
- A unified procedure for construction of theories of deformable media. I. Classical continuum physics
- Elastic-Plastic Deformation at Finite Strains
- The Thermodynamics of Irreversible Processes. IV. The Theory of Elasticity and Anelasticity
- Constitutive functions of elastic materials in finite growth and deformation
- Cosserat theories: Shells, rods and points