Solutions of some boundary value problems for a new class of elastic bodies. Comparison with predictions of the classical theory of linearized elasticity: Part II. A problem with spherical symmetry

DOI10.1007/S00707-014-1289-8zbMath1317.74033OpenAlexW2033632744MaRDI QIDQ2516696

R. Bustamante, Kumbakonam R. Rajagopal

Publication date: 4 August 2015

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-014-1289-8

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

Large deformations of a new class of incompressible elastic bodies ⋮ On the consequences of the constraint of incompressibility with regard to a new class of constitutive relations for elastic bodies: small displacement gradient approximation ⋮ Analysis of the propagation of small-amplitude waves in nonlinear elastic solids for problems with infinitesimal strains ⋮ A note on incremental equations for a new class of constitutive relations for elastic bodies ⋮ Study of a new class of nonlinear inextensible elastic bodies ⋮ A Review of Implicit Constitutive Theories to Describe the Response of Elastic Bodies ⋮ Numerical technique for solving truss and plane problems for a new class of elastic bodies ⋮ Some universal solutions for incompressible elastic bodies that are not Green elastic ⋮ Axisymmetric deformation of a materially nonlinear circular plate

Cites Work

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• Solutions of some boundary value problems for a new class of elastic bodies undergoing small strains. Comparison with the predictions of the classical theory of linearized elasticity: Part I. Problems with cylindrical symmetry
• Conspectus of concepts of elasticity
• On a class of non-dissipative materials that are not hyperelastic
• Some topics on a new class of elastic bodies

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