Existence results for a morphoelastic model
From MaRDI portal
Publication:6121541
DOI10.1002/zamm.202100478arXiv2110.05566OpenAlexW3205855883MaRDI QIDQ6121541
Ulisse Stefanelli, Elisa Davoli, Katerina Nik
Publication date: 26 March 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.05566
a priori estimateoptimal control problemhyperelasticityquasistatic approximationextended nutrient-morphoelastic problemtime-discretized variational problem
Nonlinear elasticity (74B20) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Unnamed Item
- The mathematics and mechanics of biological growth
- Morphoelastic control of gastro-intestinal organogenesis: theoretical predictions and numerical insights
- Perspectives on biological growth and remodeling
- Global existence for rate-independent gradient plasticity at finite strain
- An energy-deformation decomposition for morphoelasticity
- Non-uniqueness of minimizers for strictly polyconvex functionals
- Compact sets in the space \(L^ p(0,T;B)\)
- Convexity conditions and existence theorems in nonlinear elasticity
- Well-posedness and time discretization of a nonlinear Volterra integrodifferential equation
- Global existence results for viscoplasticity at finite strain
- Approximation of nonlinear evolution systems
- Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity
- Finite element simulation of intimal thickening in 2D multi-layered arterial cross sections by morphoelasticity
- Are homeostatic states stable? Dynamical stability in morphoelasticity
- Rate-independent elastoplasticity at finite strains and its numerical approximation
- Modeling Growth in Biological Materials
- Some Open Problems in Elasticity
- Theories of Growth
- Strain gradient visco-plasticity with dislocation densities contributing to the energy
- Lower semicontinuity and existence of minimizers in incremental finite‐strain elastoplasticity
- Existence results for a class of rate-independent material models with nonconvex elastic energies
- Finite Plasticity in $P^\top\!P$. Part II: Quasi-Static Evolution and Linearization
- Quasistatic evolution for dislocation-free finite plasticity