An existence result for accretive growth in elastic solids
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Publication:6633037
DOI10.1142/S0218202524500465MaRDI QIDQ6633037
Katerina Nik, Elisa Davoli, Giuseppe Tomassetti, Ulisse Stefanelli
Publication date: 5 November 2024
Published in: M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences (Search for Journal in Brave)
Nonlinear elasticity (74B20) PDEs in connection with mechanics of deformable solids (35Q74) Existence of solutions of equilibrium problems in solid mechanics (74G22) Energy minimization in dynamical problems in solid mechanics (74H80)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- The mathematics and mechanics of biological growth
- Kinetics of boundary growth
- Continuum modeling and numerical simulation of cell motility
- The surface finite element method for pattern formation on evolving biological surfaces
- Solutions of the divergence operator on John domains
- On the accretion of inhomogeneous viscoelastic bodies under finite deformations
- Viscosity solutions of Hamilton-Jacobi equations
- Kinematics of surface growth
- Hausdorff dimension and mean porosity
- A model of controlled growth
- The mathematical theory of growing bodies. Finite deformations
- Sobolev-Poincaré implies John
- Stability of a one-dimensional morphoelastic model for post-burn contraction
- Steady accretion of an elastic body on a hard spherical surface and the notion of a four-dimensional reference space
- Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies
- Mathematical modeling of volumetric material growth in thermoelasticity
- Nonlinear mechanics of accretion
- Korn's inequality and John domains
- Theory of elasticity. 2nd ed.
- A finite element method for modeling surface growth and resorption of deformable solids
- Divergence Operator and Related Inequalities
- Rotation and strain
- User’s guide to viscosity solutions of second order partial differential equations
- Injectivity theorems in plane and space
- Sobolev met Poincaré
- Accretion and ablation in deformable solids with an Eulerian description: examples using the method of characteristics
- Gravitational stresses in accreted bodies
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Existence results for a morphoelastic model
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