Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/24626
Title: Anisotropic damage model for an inclined crack in thick plate and sensitivity study for its detection
Authors: Wu, D
Law, SS
Keywords: Chebyshev polynomial
Crack model
Curvature
Damage detection
Finite element
Sensitivity method
Thick plate
Uniform load surface
Vibration
Issue Date: 2004
Publisher: Pergamon Press
Source: International journal of solids and structures, 2004, v. 41, no. 16-17, p. 4321-4336 How to cite?
Journal: International journal of solids and structures 
Abstract: Many approaches on modeling of cracks in structural members have been reported in the literatures. However, most of them are explicitly developed for the purpose of studying the changes in static and dynamic responses of the structure due to the crack damage, which is a forward problem mathematically. The use of these models is inconvenient or even impossible for detecting damage in structures from vibration measurements, which is usually an inverse problem. An anisotropic damage model is proposed for a thick plate element with an inclined crack. The cracked plate element is represented by an effective plate element with anisotropic material properties expressed in terms of the virgin material stiffness and a vector of damage variables. A sensitivity-based model updating approach is developed incorporating the proposed anisotropic model and the estimated uniform load surface curvature from vibration measurements to identify the damage variables. The orientation of the crack is directly indicated by the geometric parameter and the damage severity can be estimated from other variables representing the relative stiffness reduction along the local axes. The validity of the methodology is demonstrated by numerical examples and experiment results.
URI: http://hdl.handle.net/10397/24626
ISSN: 0020-7683
DOI: 10.1016/j.ijsolstr.2004.03.001
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