Microplane Model M4 for Concrete. I: Formulation with Work-Conjugate Deviatoric Stress
Publication: Journal of Engineering Mechanics
Volume 126, Issue 9
Abstract
The first part of this two-part study presents a new improved microplane constitutive model for concrete, representing the fourth version in the line of microplane models developed at Northwestern University. The constitutive law is characterized as a relation between the normal, volumetric, deviatoric, and shear stresses and strains on planes of various orientations, called the microplanes. The strain components on the microplanes are the projections of the continuum strain tensor, and the continuum stresses are obtained from the microplane stress components according to the principle of virtual work. The improvements include (1) a work-conjugate volumetric deviatoric split—the main improvement, facilitating physical interpretation of stress components; (2) additional horizontal boundaries (yield limits) for the normal and deviatoric microplane stress components, making it possible to control the curvature at the peaks of stress-strain curves; (3) an improved nonlinear frictional yield surface with plasticity asymptote; (4) a simpler and more effective fitting procedure with sequential identification of material parameters; (5) a method to control the steepness and tail length of postpeak softening; and (6) damage modeling with a reduction of unloading stiffness and crack-closing boundary. The second part of this study, by Caner and Bažant, will present an algorithm for implementing the model in structural analysis programs and provide experimental verification and calibration by test data.
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Published In
Journal of Engineering Mechanics
Volume 126 • Issue 9 • September 2000
Pages: 944 - 953
History
Received: Mar 2, 1999
Published online: Sep 1, 2000
Published in print: Sep 2000
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