A Thermodynamic Approach to Nonlocal Plasticity and Related Variational Principles

[+] Author and Article Information
G. Borino

Dipartimento di Ingegneria Strutturale & Geotecnica, DISeG, Universit̀ di Palermo, Viale delle Scienze, 1-90128 Palermo, Italy

P. Fuschi

Dipartimento Arte Scienza Tecnica Del Costruire, DASTEC, Università di Reggio Calabria, Via Melissari, 1-89120 Reggio Calabria, Italy

C. Polizzotto

Dipartimento di Ingegneria Struttarale & Geotecnica, DISeG, Università di Palermo, Viale delle Sicenze, 1-90128 Palermo, Italy

J. Appl. Mech 66(4), 952-963 (Dec 01, 1999) (12 pages) doi:10.1115/1.2791804 History: Received March 31, 1997; Revised March 10, 1999; Online October 25, 2007


Elastic-plastic rate-independent materials with isotropic hardening/softening of nonlocal nature are considered in the context of small displacements and strains. A suitable thermodynamic framework is envisaged as a basis of a nonlocal associative plasticity theory in which the plastic yielding laws comply with a (nonlocal) maximum intrinsic dissipation theorem. Additionally, the rate response problem for a (continuous) set of (macroscopic) material particles, subjected to a given total strain rate field, is discussed and shown to be characterized by a minimum principle in terms of plastic coefficient. This coefficient and the relevant continuum tangent stiffness matrix are shown to admit, in the region of active plastic yielding, some specific series representations. Finally, the structural rate response problem for assigned load rates is studied in relation to the solution uniqueness, and two variational principles are provided for this boundary value problem.

Copyright © 1999 by The American Society of Mechanical Engineers
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