eprintid: 1939 rev_number: 7 eprint_status: archive userid: 56 dir: disk0/00/00/19/39 datestamp: 2013-11-25 10:19:29 lastmod: 2014-10-09 09:20:26 status_changed: 2013-11-25 10:19:29 type: article metadata_visibility: show creators_name: Carpinteri, Alberto creators_name: Paggi, Marco creators_id: creators_id: marco.paggi@imtlucca.it title: On the asymptotic stress field in angularly nonhomogeneous materials ispublished: pub subjects: TJ divisions: CSA full_text_status: none keywords: Asymptotic analysis; fracture; functionally graded materials; interfaces; multi-material junctions abstract: The problem of multi-material junctions composed of angularly nonhomogeneous elastic wedges in plane elasticity is addressed. For this new type of grading the governing equation for the Airy stress function is derived and, by applying the eigenfunction expansion method, a fourth-order ODE with nonconstant coefficients for the eigenequation is obtained. The solution to this ODE permits the formulation of an eigenvalue problem similar to that valid for material junctions between homogenous different materials. It is mathematically demonstrated that the angular grading influences the order of the stress-singularity. The potentials of the use of this new class of materials in joining technology are carefully investigated and some illustrative examples are deeply discussed. Comparisons with the corresponding results obtained from homogeneous materials are made. date: 2005 date_type: published publication: International Journal of Fracture volume: 135 number: 1-4 publisher: Springer-Verlag pagerange: 267-283 id_number: 10.1007/s10704-005-4087-4 refereed: TRUE issn: 1573-2673 official_url: http://dx.doi.org/10.1007/s10704-005-4087-4 citation: Carpinteri, Alberto and Paggi, Marco On the asymptotic stress field in angularly nonhomogeneous materials. International Journal of Fracture, 135 (1-4). pp. 267-283. ISSN 1573-2673 (2005)