Plane strain compression of a rectangular block is used as a model problem to investigate the dynamics of shear band development from an internal inhomogeneity. The material is characterized as a von Mises elastic-viscoplastic solid, with a hardness function that exhibits a local maximum. Regardless of whether the material is hardening or softening, plastic strain development involves the evolution of fingerlike contours emanating from the inhomogeneity at 45 deg to the compression axis. Once a given strain contour crosses the specimen, it fans out about its initial direction of propagation. For a softening solid, this fanning out ceases for some strain level greater than the strain at the hardness maximum and further straining takes place in an ever narrowing band. Many of the qualitative features of shear band development under dynamic loading conditions are the same as under quasistatic loading conditions, but a significant retardation of shear band development due to inertial effects is found.
Skip Nav Destination
Article navigation
March 1989
Research Papers
Dynamic Shear Band Development in Plane Strain
A. Needleman
A. Needleman
Division of Engineering, Brown University, Providence, R.I. 02912
Search for other works by this author on:
A. Needleman
Division of Engineering, Brown University, Providence, R.I. 02912
J. Appl. Mech. Mar 1989, 56(1): 1-9 (9 pages)
Published Online: March 1, 1989
Article history
Received:
December 1, 1987
Revised:
July 13, 1988
Online:
July 21, 2009
Citation
Needleman, A. (March 1, 1989). "Dynamic Shear Band Development in Plane Strain." ASME. J. Appl. Mech. March 1989; 56(1): 1–9. https://doi.org/10.1115/1.3176046
Download citation file:
Get Email Alerts
Evaluating Fracture Energy Predictions Using Phase-Field and Gradient-Enhanced Damage Models for Elastomers
J. Appl. Mech (December 2024)
Why Biological Cells Cannot Stay Spherical?
J. Appl. Mech (December 2024)
Programmable Supratransmission in a Mechanical Chain with Tristable Oscillators
J. Appl. Mech (December 2024)
Adhesion of a Rigid Sphere to a Freestanding Elastic Membrane With Pre-Tension
J. Appl. Mech (December 2024)
Related Articles
Modeling of the Long-Term Behavior of Glassy Polymers
J. Eng. Mater. Technol (January,2013)
Application of Multiscale Crystal Plasticity Models to Forming Limit Diagrams
J. Eng. Mater. Technol (July,2004)
Crack Tip Fields in a Single Edge Notched Aluminum Single Crystal Specimen
J. Eng. Mater. Technol (April,2008)
On the Strain Saturation Conditions for Polycrystalline Ferroelastic Materials
J. Appl. Mech (July,2003)
Related Proceedings Papers
Related Chapters
Dynamics of Centrifugal Compression Systems
Pipeline Pumping and Compression Systems: A Practical Approach, Second Edition
Dynamics of Centrifugal Compression Systems
Pipeline Pumping and Compression Systems: A Practical Approach
Dynamics of Centrifugal Compression Systems
Pipeline Pumping and Compression System: A Practical Approach, Third Edition