Artículo
Crack tip solution for Mode III cracks in spring interfaces
Autor/es | Jiménez-Alfaro, Sara
Mantic, Vladislav |
Departamento | Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras |
Fecha de publicación | 2023-08 |
Fecha de depósito | 2023-07-04 |
Resumen | Considering an infinite linear elastic isotropic solid in antiplane shear, the Mode III crack-tip solution for a semi-infinite crack located in a straight spring interface is systematically studied for the first time. A ... Considering an infinite linear elastic isotropic solid in antiplane shear, the Mode III crack-tip solution for a semi-infinite crack located in a straight spring interface is systematically studied for the first time. A new analytic expression for this crack-tip solution is given in the form of a double asymptotic series of the main and the so-called associated shadow terms. It is shown that the series of the shadow terms associated with a main term is infinite, and all shadow terms include logarithmic terms. Thus, although the interface tractions are bounded, the linear elastic solution at this crack-tip has a logarithmic stress singularity which is comprehensively analysed. Noteworthy, the character of this stress singularity is very different from the well-known square root singularity at the crack tip in the classical fracture mechanics. A key advantage of the present approach is its simplicity, as only elementary mathematical tools are employed, and also its easy implementation in a computer algebra software. The latter fact is very relevant because the expressions of higher-order shadow terms become increasingly complicated, so their generation by a computer code becomes crucial. The present results allow the implementation of new enriched or singular crack-tip finite elements for such cracks, and the automatic generation of analytic solutions for benchmark problems for testing the finite-element codes using these special elements. Such codes can be applied to efficient numerical modelling of interface cracks, e.g., in adhesively bonded joints with a thin adhesive layer. |
Agencias financiadoras | Spanish Ministry of Science and Innovation PID2021-123325OB-I00 Consejería de Económía, Conocimiento, Empresas Universidad, Junta de Andalucía and European Regional Development Fund P18-FR-1928 European Union’s Horizon 2020 research and innovation programme under Marie Sklodowska-Curie grant agreement No. 861061- NEWFRAC |
Identificador del proyecto | PID2021-123325OB-I00
P18-FR-1928 EU H2020 861061- NEWFRAC |
Ficheros | Tamaño | Formato | Ver | Descripción |
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EFM_mantic_2023_crack.pdf | 2.072Mb | [PDF] | Ver/ | |