Investigating the effect of loading on the governing equation at the split region for a semi‑infinite crack in an orthotropic material under antiplane loading | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 30, Issue 1, 2022, Page 1-33 PDF (2.11 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.1186/s42787-022-00154-x | ||||
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| Abstract | ||||
| Most often there is a great disparity between experimental results and analytic results. Before now under great disparity, researchers kept suspecting the experimental procedures without investigating whether their analytic solution actually satisfy the governing equation. When a body in a plane is under loading, the loading splits the plane into regions, and the governing equation must be satisfied at these regions for the derived solution to be true. In this paper, I considered a homogeneous infinite orthotropic material containing a semi-infinite crack. A longitudinal shear load of magnitude Q is applied on the crack front. The displacement field in closed form is obtained. A verification of this solution at the split regions is carried out and shown to satisfy the governing differential equation | ||||
| Keywords | ||||
| Closed-form solution; Semi-infinite crack; Infinite orthotropic material Mathematics Subject Classification: 74B05; 74B10; 74E10 | ||||
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