Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies

DOI10.1016/J.JMPS.2016.08.012zbMath1482.74023OpenAlexW2511162172MaRDI QIDQ2119192

Fabio Sozio, Arash Yavari

Publication date: 23 March 2022

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmps.2016.08.012

zbMATH Keywords

nonlinear elasticityresidual stressgeometric mechanicssurface growthaccretion mechanics

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Structured surfaces and interfaces, coexistent phases (74A50) Dynamical problems in solid mechanics (74H99)

Related Items (14)

Accretion and ablation in deformable solids with an Eulerian description: examples using the method of characteristics ⋮ A combined accretion and surface growth model in the framework of irreversible thermodynamics ⋮ A finite element method for modeling surface growth and resorption of deformable solids ⋮ On the stress field of a nonlinear elastic solid torus with a toroidal inclusion ⋮ Nonlinear mechanics of thermoelastic accretion ⋮ Nonlinear elastic inclusions in anisotropic solids ⋮ Material affine connections for growing solids ⋮ Contorsion of material connection in growing solids ⋮ Line and point defects in nonlinear anisotropic solids ⋮ Nonlinear and linear elastodynamic transformation cloaking ⋮ Kinetics of surface growth with coupled diffusion and the emergence of a universal growth path ⋮ Nonlinear mechanics of accretion ⋮ Finite incompatible deformations in elastic solids: relativistic approach ⋮ Accretion mechanics of nonlinear elastic circular cylindrical bars under finite torsion

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