Summary
The method of dislocation layers is used to study the stress-field created around an infinite row of collinear Griffith-type elastoplastic strip cracks in an orthotropic crystal loaded at infinity. Formal solutions are obtained in detail for the mode III antiplane shear case, leading to explicit expressions for the length of the plastic zones and the total plastic displacement at the crack-tips. Some representative numerical results are given. It is observed that the problems of a single, elastoplastic crack within a finite orthotropic plate and a finite plate containing a surface crack have solutions which are actually also provided by this analysis. The mode I and mode II analogous situations are briefly discussed.
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Tupholme, G.E. Elastoplastic cracks in orthotropic crystals using dislocation layers. Acta Mechanica 73, 177–185 (1988). https://doi.org/10.1007/BF01177037
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DOI: https://doi.org/10.1007/BF01177037