eprintid: 1947 rev_number: 6 eprint_status: archive userid: 56 dir: disk0/00/00/19/47 datestamp: 2013-11-25 12:04:38 lastmod: 2014-10-09 09:20:26 status_changed: 2013-11-25 12:04:38 type: article metadata_visibility: show creators_name: Carpinteri, Alberto creators_name: Paggi, Marco creators_name: Pugno, Nicola creators_id: creators_id: marco.paggi@imtlucca.it creators_id: title: Numerical evaluation of generalized stress-intensity factors in multi-layered composites ispublished: pub subjects: TJ divisions: CSA full_text_status: none keywords: Bi-material; Singularities; Stress-intensity factor; Analytical solutions; Finite element abstract: 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. date: 2006 date_type: published publication: International Journal of Solids and Structures volume: 43 number: 3–4 publisher: Elsevier pagerange: 627 - 641 id_number: 10.1016/j.ijsolstr.2005.06.009 refereed: TRUE issn: 0020-7683 official_url: http://www.sciencedirect.com/science/article/pii/S0020768305003227 citation: 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)