Geometric Damage Tensor Based on Microplane Model
Publication: Journal of Engineering Mechanics
Volume 117, Issue 10
Abstract
An appealing approach to formulate constitutive models for characterizing distributed damage due to microcracks and voids is continuum damage mechanics with the concepts of effective stress and strain equivalence. In that approach, in which damage is imagined to characterize the reduction of the net stress‐transmitting cross‐section area of the material, the constitutive model is separated into two independent parts, one for damage and the other for elastic and inelastic behavior (rheology) other than damage, which, if combined appropriately, give the overall constitutive behavior. However, the existing multidimensional formulations for damage are quite complex, and practical implementations capable of fitting experimental data are hard to obtain. The microplane models, by contrast, provide conceptual simplicity and close fits of multiaxial test data for concrete, soils, etc., although, as formulated in the past, various kinds of physical phenomena were mixed in the definition of the microplane stress‐strain curves. In this work the microplane theory is reformulated in a manner that separates damage from rheology and makes the formulation fit the basic framework of continuum damage mechanics. Aside from a kinematic constraint between macrostrains and micro‐strains, the model satisfies a static constraint such that the effective microstresses are the resolved components of the effectiveness macrostresses.
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Published In
Journal of Engineering Mechanics
Volume 117 • Issue 10 • October 1991
Pages: 2429 - 2448
Copyright
Copyright © 1991 ASCE.
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Published online: Oct 1, 1991
Published in print: Oct 1991
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