The mathematical theory of growing bodies. Finite deformations

DOI10.1016/j.jappmathmech.2013.11.011zbMath1432.74008OpenAlexW2007082514MaRDI QIDQ1789261

A. V. Manzhirov, S. A. Lychev

Publication date: 10 October 2018

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2013.11.011

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Kinematics of deformation (74A05)

Related Items (6)

Thermal stresses in growing thermoviscoelastic cylinder and their evolution in the course of selective laser melting processing ⋮ Material affine connections for growing solids ⋮ Contorsion of material connection in growing solids ⋮ Longitudinal vibrations of a lightly damped viscoelastic rod growing in both lateral and axial directions ⋮ Accretion mechanics of nonlinear elastic circular cylindrical bars under finite torsion ⋮ Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies

Cites Work

• A continuum theory of elastic material surfaces
• Boundary value problem of the theory of creep for a body with accretion
• Thermomechanics of volumetric growth in uniform bodies
• Material inhomogeneities and their evolution. A geometric approch.
• Stresses in rotating spheres grown by accretion
• Materially uniform simple bodies with inhomogeneities
• On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
• Geometry and thermomechanics of structural rearrangements: Ekkehart Kröner's legacy Plenary lecture presented at the 80th Annual GAMM Conference, Augsburg, 25-28 March 2002
• Gravitational stresses in accreted bodies
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