On the Initiation of Necking Modes in Layered Plastic Solids

[+] Author and Article Information
P. S. Steif

Department of Mechanical Engineering, Carnegie-Mellon University, Pittsburgh, PA 15213

J. Appl. Mech 54(1), 141-146 (Mar 01, 1987) (6 pages) doi:10.1115/1.3172948 History: Received March 04, 1985; Revised September 15, 1986; Online July 21, 2009


The deformation of a solid consisting of alternating material layers with interface undulations is studied analytically. We assess the relative rate of growth or decay of these interface imperfections with straining. The analysis is based on a regular perturbation expansion of the finite strain, nonlinear field equations, the small parameter being the amplitude of the undulations relative to the layer thickness. Attention is focused on the influence of material and geometric parameters on imperfection growth-rates. It is found that significant connections exist between the growth of imperfections and the tendency for undulatory bifurcation modes to emerge from a perfect, layered solid.

Copyright © 1987 by ASME
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