Dynamic instability of a homogenous deformation of a thin elastic bar-Reference-Cited by-同舟云学术

Dynamic instability of a homogenous deformation of a thin elastic bar

Published:1982 Issue:3 Volume:40 Page:357-361
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Burns Timothy J.

Abstract

A linear stability analysis of a homogeneous deformation at constant strain-rate of a thin elastic bar is used to show that the deformation is unstable with respect to small perturbations in the case when the stress-strain relation is concave with a single maximum.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1982-40-03/S0033-569X-1982-0678208-6/S0033-569X-1982-0678208-6.pdf

Reference8 articles.

1. International Series in Pure and Applied Mathematics;Bender, Carl M.,1978

2. B. Bernstein and L. J. Zapas, Stability and cold drawing of viscoelastic bars, J. Rheology 25 (1), 83–94 (1981)

3. T. J. Burns, D. E. Grady, and L. S. Costin, On a criterion for thermoplastic shear instability, Amer. Inst. Phys. Conf. Ser. No. 78, Chapt. 7, 372–375 (1981)

4. L. S. Costin et al., On the localization of plastic flow in mild steel tubes under dynamic torsional loading, Amer. Inst. Phys. Conf. Ser. No. 47, Chapt. 1, 90–100 (1979)

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4. DYNAMIC INSTABILITY IN ADIABATIC THERMOPLASTIC SHEAR**This work performed at Sandia National Laboratories supported by the U. S. Department of Energy under contract number DE-AC04-76DP00789.;Shock Waves in Condensed Matter 1983;1984