Are Lower-Order Gradient Theories of Plasticity Really Lower Order?

[+] Author and Article Information
K. Yu. Volokh

Faculty of Civil Engineering, Technion–Israel Institute of Technology, Haifa 32000, Israel

J. W. Hutchinson

Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138 e-mail: hutchinson@husm.harvard.edu. Mem. ASME

J. Appl. Mech 69(6), 862-864 (Oct 31, 2002) (3 pages) doi:10.1115/1.1504096 History: Received June 21, 2001; Revised June 08, 2002; Online October 31, 2002
Copyright © 2002 by ASME
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Bassani,  J. L., 2001, “Incompatibility and Simple Gradient Theory of Plasticity,” J. Mech. Phys. Solids, 49, pp. 1983–1996.
Fleck,  N. A., and Hutchinson,  J. W., 2001, “A Reformulation of Strain Gradient Plasticity,” J. Mech. Phys. Solids, 49, pp. 2245–2271.
Hutchinson,  J. W., 2000, “Plasticity at the Micron Scale,” Int. J. Solids Struct., 37, pp. 225–238.


Grahic Jump Location
Numerical solutions of Eq. (4) with n=3 and m=2. The curves correspond to the values λ=1/4;1/2;1;2;4 from the bottom to the top.



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