Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/155099
Title: A micromechanical model based on hypersingular integro-differential equations for analyzing micro-crazed interfaces between dissimilar elastic materials
Authors: Wang, Xue
Ang, Whye Teong
Fan, Hui
Keywords: Engineering::Mechanical engineering
Issue Date: 2020
Source: Wang, X., Ang, W. T. & Fan, H. (2020). A micromechanical model based on hypersingular integro-differential equations for analyzing micro-crazed interfaces between dissimilar elastic materials. Applied Mathematics and Mechanics, 41(2), 193-206. https://dx.doi.org/10.1007/s10483-020-2563-8
Journal: Applied Mathematics and Mechanics
Abstract: The current work models a weak (soft) interface between two elastic materials as containing a periodic array of micro-crazes. The boundary conditions on the interfacial micro-crazes are formulated in terms of a system of hypersingular integro-differential equations with unknown functions given by the displacement jumps across opposite faces of the micro-crazes. Once the displacement jumps are obtained by approximately solving the integro-differential equations, the effective stiffness of the micro-crazed interface can be readily computed. The effective stiffness is an important quantity needed for expressing the interfacial conditions in the spring-like macro-model of soft interfaces. Specific case studies are conducted to gain physical insights into how the effective stiffness of the interface may be influenced by the details of the interfacial micro-crazes.
URI: https://hdl.handle.net/10356/155099
ISSN: 0253-4827
DOI: 10.1007/s10483-020-2563-8
Rights: © 2020 Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:MAE Journal Articles

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