Probabilistic Nonlocal Damage Model for Continua with Random Field Properties
Publication: Journal of Engineering Mechanics
Volume 120, Issue 10
Abstract
Nonlocal continuum damage mechanics and random field theory are used to model the stochastic damage behavior of a strain‐softening material with random field properties. The randomness in the damage process is introduced by considering the initial damage threshold and the local strain‐softening behavior as a bivariate random Nataf field, defined by the marginal distributions and correlation matrix. A key component of the model is the introduction of two different length parameters: the characteristic length of the nonlocal damage model and the correlation distance for the random field. The probabilistic nonlocal damage model is illustrated by presenting finite‐element analyses of direct‐tension tests. It is found that the specimen exhibits a structural behavior representing a nonsymmetrical deformation and nonlinear stress‐displacement curve. The influence of the cross‐correlation coefficient between the initial damage and the strain‐softening behavior is discussed. The probabilistic nonlocal damage model is also capable of describing the deterministic and probabilistic size effect of structures.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 10 • October 1994
Pages: 2013 - 2027
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jun 14, 1993
Published online: Oct 1, 1994
Published in print: Oct 1994
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