Dynamic Analysis of Elastoplastic Softening Discretized Structures
Publication: Journal of Engineering Mechanics
Volume 118, Issue 12
Abstract
Associative, elastic‐plastic constitutive laws with linear kinematic hardening or softening are attributed to the discrete structures or structural models considered herein for their dynamic analysis in the range of small deformations. Discretizations are carried out in space by finite element consistent modeling and in time by various finite difference, implicit time‐integration schemes. In this context sufficient conditions are established for: (1) Uniqueness (nonbifurcation) of the time‐step solution; (2) a kinematic extremum property of this solution; and (3) convergence on it of modified Newton‐Raphson iterative procedure. The sufficient criteria proposed materialize in correlated upper bounds on a measure of the constitutive softening and on the time‐step amplitude. The stabilizing effects of inertia are expressed in these bounds through the maximum eigenfrequency of the structural model supposed linear elastic. Time‐integration techniques differ significantly in implications of softening: e.g., the average acceleration method permits larger steps for convergence than the backward‐difference method.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 118 • Issue 12 • December 1992
Pages: 2352 - 2375
Copyright
Copyright © 1992 ASCE.
History
Published online: Dec 1, 1992
Published in print: Dec 1992
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