Griffith cracks in an elastic medium in which body forces are acting |
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| Affiliation: | 1. Australian Maritime College, University of Tasmania, Launceston, TAS 7250, Australia;2. Safety and Risk Engineering Group (SREG), Faculty of Engineering & Applied Science, Memorial University of Newfoundland, St. John''s, Newfoundland A1B 3X5, Canada;1. Department of Consumer and Food Sciences, University of Pretoria, Pretoria 0028, South Africa;2. Department of Biotechnology and Food Technology, Tshwane University of Technology, Pretoria 0001, South Africa |
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| Abstract: | The plane strain problem of determining the distribution of stress in an infinite isotropic elastic medium containing Griffith cracks located on a single line is examined. The crack surfaces are assumed to be free from tractions, and the stress distribution in the medium is due to the action of body forces. Fourier transform methods are employed to reduce the problem to that of solving a singular integral equation of Cauchy type. The solution is completed in the case in which the medium contains a single crack. Particular distributions of concentrated loads are considered in detail, and the results are compared with those available in the literature. |
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