Continuum Damage Mechanics-Based Model of Stochastic Damage Growth
Publication: Journal of Engineering Mechanics
Volume 124, Issue 9
Abstract
Structural damage accumulation is an intrinsically random phenomenon. Continuum damage mechanics seeks to express the aggregate effect of microscopic defects present within a material in terms of macroscopically defined quantities; this makes continuum damage mechanics well-suited to deal with random damage growth in the prelocalization stage. Growth of damage is a thermodynamically irreversible process where the evolution of the Helmholtz free energy is described by a random process. Under fairly general thermodynamic conditions, a set of stochastic differential equations are derived for random isotropic damage growth prior to the onset of localization. The notion that the current state of damage encapsulates the history of the entire process imparts a Markovian characteristic to the damage growth process. The stochastic differential equations are solved to assess damage growth and reliability for uniaxial ductile deformation, high-temperature creep, and fatigue cycling. The models are validated with available experimental results.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 124 • Issue 9 • September 1998
Pages: 1000 - 1009
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Sep 1, 1998
Published in print: Sep 1998
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