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Numerical evaluation of generalized stress-intensity factors in multi-layered composites

Carpinteri, Alberto and Paggi, Marco and Pugno, Nicola Numerical evaluation of generalized stress-intensity factors in multi-layered composites. International Journal of Solids and Structures, 43 (3–4). 627 - 641. ISSN 0020-7683 (2006)

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The problem of the evaluation of the generalized stress-intensity factors for re-entrant corners in multi-layered structural components is addressed. An approximate analytical model based on the theory of multi-layered beams is presented. This approach provides a simple closed-form solution for the direct computation of the Mode I stress-intensity factor for the general problem of a re-entrant corner symmetrically meeting a bi-material interface. For the self-consistency of the theory, re-entrant corners in homogeneous materials and cracks perpendicular to bi-material interfaces can also be gained as limit cases of this formulation. According to this approach, the effects of the elastic mismatch parameters, the value of the notch angle and the thicknesses of the layers on the stress-intensity factor are carefully quantified and the results are compared with {FE} solutions. {FE} results are obtained by applying a combination of analytical and numerical techniques based on the knowledge a priori of the asymptotic stress field for re-entrant corners perpendicular to a bi-material interface and on the use of generalized isoparametric singular finite elements at the notch tip. A good agreement between approximate and analytical/numerical predictions is achieved, showing the effectiveness of this approach.

Item Type: Article
Identification Number: 10.1016/j.ijsolstr.2005.06.009
Uncontrolled Keywords: Bi-material; Singularities; Stress-intensity factor; Analytical solutions; Finite element
Subjects: T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Prof Marco Paggi
Date Deposited: 25 Nov 2013 12:04
Last Modified: 09 Oct 2014 09:20
URI: http://eprints.imtlucca.it/id/eprint/1947

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