Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies

DOI10.1177/1081286514543600zbMath1327.74080OpenAlexW1999692117MaRDI QIDQ2950690

R. Bustamante, Dimitris Sfyris

Publication date: 9 October 2015

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

Full work available at URL: https://doi.org/10.1177/1081286514543600

zbMATH Keywords

finite element methodunsteady motionsequation of motionstrain limiting behaviour

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Stress (74A10) Elastic materials (74B99)

Related Items (15)

A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies ⋮ A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic ⋮ A note on incremental equations for a new class of constitutive relations for elastic bodies ⋮ On an elastic strain-limiting special Cosserat rod model ⋮ Stress formulation of acoustoelasticity ⋮ A nonlinear model for describing the mechanical behaviour of rock ⋮ Computational modeling of circular crack-tip fields under tensile loading in a strain-limiting elastic solid ⋮ Ignaczak equation of elastodynamics ⋮ Stress field formulation of linear electro-magneto-elastic materials ⋮ Corrigendum: Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies ⋮ A Review of Implicit Constitutive Theories to Describe the Response of Elastic Bodies ⋮ Viscoelasticity with limiting strain ⋮ 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 ⋮ A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies ⋮ On the treatment of non-solvable implicit constitutive relations in solid mechanics

Cites Work

• On implicit constitutive theories.
• On the nonlinear elastic response of bodies in the small strain range
• The elasticity of elasticity
• A numerical study of a plate with a hole for a new class of elastic bodies
• Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack
• Non-Linear Elastic Bodies Exhibiting Limiting Small Strain
• 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
• A Note on Plane Strain and Plane Stress Problems for a New Class of Elastic Bodies
• Use of some theorems related with the tensor equation AX + XA = H for some classes of implicit constitutive relations
• On the response of non-dissipative solids

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