In the previous work by the authors, an approach to damage prognosis which incorporates the effects of uncertainties has been proposed. This approach is based on the idea of integrating the laws for damage progression within the framework of interval arithmetic, a framework that naturally accommodates uncertainty. The modest purposes of this study are to extend/modify the approach in a small but significant manner and also to consider a more complex problem than the previous benchmark. The developments in the paper are illustrated through two case studies. The first case study revisits the benchmark of the initial paper – an isotropic finite plate under harmonic uniaxial loading, where the damage is assumed to be a central, mode I, through-crack. The damage propagation model for the cracked plate is the Paris-Erdogan law. The second example considers the growth of internal delaminations in composite plates subjected to cyclic compression. Under compressive loading, laminated composite plates experience repeated buckling-unloading of the delaminated layer with a consequent reduction in interlayer resistance. The state of stress near the delamination tip is of mixed mode I and II. A graphite-epoxy unidirectional specimen has been assumed here and the thin-film model of Chai and colleagues is used; the latter is a closed-form solution for the initial post-buckling and growth behaviour in the ideal case of a surface delamination in an infinitely thick plate. The delamination growth law considered is the one proposed by Kardomateas and co-workers. As the objective of the study is to examine the effects of uncertainties, the various models are considered within the framework of interval arithmetic; Monte Carlo analysis is also carried out to provide a basis for comparison.

Extended Analysis of a Damage Prognosis Approach Based on Interval Arithmetic / Surace, Cecilia; Worden, K.. - In: STRAIN. - ISSN 0039-2103. - STAMPA. - 47:6(2011), pp. 544-554. [10.1111/j.1475-1305.2011.00815.x]

Extended Analysis of a Damage Prognosis Approach Based on Interval Arithmetic

SURACE, Cecilia;
2011

Abstract

In the previous work by the authors, an approach to damage prognosis which incorporates the effects of uncertainties has been proposed. This approach is based on the idea of integrating the laws for damage progression within the framework of interval arithmetic, a framework that naturally accommodates uncertainty. The modest purposes of this study are to extend/modify the approach in a small but significant manner and also to consider a more complex problem than the previous benchmark. The developments in the paper are illustrated through two case studies. The first case study revisits the benchmark of the initial paper – an isotropic finite plate under harmonic uniaxial loading, where the damage is assumed to be a central, mode I, through-crack. The damage propagation model for the cracked plate is the Paris-Erdogan law. The second example considers the growth of internal delaminations in composite plates subjected to cyclic compression. Under compressive loading, laminated composite plates experience repeated buckling-unloading of the delaminated layer with a consequent reduction in interlayer resistance. The state of stress near the delamination tip is of mixed mode I and II. A graphite-epoxy unidirectional specimen has been assumed here and the thin-film model of Chai and colleagues is used; the latter is a closed-form solution for the initial post-buckling and growth behaviour in the ideal case of a surface delamination in an infinitely thick plate. The delamination growth law considered is the one proposed by Kardomateas and co-workers. As the objective of the study is to examine the effects of uncertainties, the various models are considered within the framework of interval arithmetic; Monte Carlo analysis is also carried out to provide a basis for comparison.
2011
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2484586
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