Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies. (January 2015)

• Record Type: Journal Article
• Authors: Bustamante, R; Sfyris, D
• Other Names: Casey James guest-editor.
• Is Part Of: Mathematics and mechanics of solids. Volume 20:Number 1(2015:Jan.)
• Page Start: 80
• Page End: 91
• Publication Date: 2015-01
• Subjects: Equation of motion -- unsteady motions -- strain limiting behaviour -- finite element method; Materials -- Mechanical properties -- Periodicals; Solids -- Periodicals; Materials science -- Mathematics -- Periodicals; 620.11205
• DOI: 10.1177/1081286514543600
• Languages: English
• ISSNs: 1081-2865

Abstract

For a new class of elastic bodies, where the linearized strain tensor is given as a function of the Cauchy stress tensor, the problem of considering unsteady motions is studied. A system of partial differential equations that only depends on the stress tensor is found from the equation of motion, which is a system of six partial differential equations for the six components of the stress tensor. A simple boundary value problem is solved for a 1D bar using exact and numerical methods.