Accretion mechanics of nonlinear elastic circular cylindrical bars under finite torsion
From MaRDI portal
Publication:2108062
DOI10.1007/s10659-022-09957-6OpenAlexW4310361032MaRDI QIDQ2108062
Satya Prakash Pradhan, Arash Yavari
Publication date: 19 December 2022
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-022-09957-6
nonlinear elasticityresidual stressgeometric mechanicssurface growthfinite torsionaccretion mechanics
Nonlinear elasticity (74B20) Kinematics of deformation (74A05) Explicit solutions of equilibrium problems in solid mechanics (74G05) Coupling of solid mechanics with other effects (74F99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the equations of motion for rigid bodies with surface growth
- A geometric theory of growth mechanics
- Covariance in linearized elasticity
- On the accretion of inhomogeneous viscoelastic bodies under finite deformations
- Finite strains of viscoelastic muscle tissue
- Kinematics of surface growth
- The general non-inertial initial-boundary value problem for a viscoelastic ageing solid with piecewise-continuous accretion
- Continuous accretion of a composite cylinder
- The mathematical theory of growing bodies. Finite deformations
- 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
- Nonlinear mechanics of thermoelastic accretion
- The anelastic Ericksen problem: universal deformations and universal eigenstrains in incompressible nonlinear anelasticity
- Riemann-Cartan geometry of nonlinear dislocation mechanics
- Nonlinear mechanics of accretion
- Deformations possible in every isotropic, incompressible, perfectly elastic body
- A finite element method for modeling surface growth and resorption of deformable solids
- A continuum theory of surface growth
- Kinetics of surface growth with coupled diffusion and the emergence of a universal growth path
- Gravitational stresses in accreted bodies
- On the origins of the idea of the multiplicative decomposition of the deformation gradient
- The physical components of vectors and tensors
