eprintid: 3215 rev_number: 5 eprint_status: archive userid: 69 dir: disk0/00/00/32/15 datestamp: 2016-03-11 12:15:25 lastmod: 2016-03-11 12:15:25 status_changed: 2016-03-11 12:15:25 type: article metadata_visibility: show creators_name: Morini, Lorenzo creators_name: Piccolroaz, Amdrea creators_id: lorenzo.morini@imtlucca.it creators_id: title: Boundary integral formulation for interfacial cracks in thermodiffusive bimaterials ispublished: pub subjects: TA divisions: CSA full_text_status: none abstract: An original boundary integral formulation is proposed for the problem of a semi-infinite crack at the interface between two dissimilar elastic materials in the presence of heat flows and mass diffusion. Symmetric and skew-symmetric weight function matrices are used together with a generalized Bettiā€™s reciprocity theorem in order to derive a system of integral equations that relate the applied loading, the temperature and mass concentration fields, the heat and mass fluxes on the fracture surfaces and the resulting crack opening. The obtained integral identities can have many relevant applications, such as for the modelling of crack and damage processes at the interface between different components in electrochemical energy devices characterized by multi-layered structures (solid oxide fuel cells and lithium ions batteries). date: 2015 date_type: published publication: Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences volume: 471 number: 2181 publisher: The Royal Society id_number: 10.1098/rspa.2015.0284 refereed: TRUE issn: 0080-4630 official_url: http://rspa.royalsocietypublishing.org/content/471/2181/20150284 citation: Morini, Lorenzo and Piccolroaz, Amdrea Boundary integral formulation for interfacial cracks in thermodiffusive bimaterials. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 471 (2181). ISSN 0080-4630 (2015)