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

Document Type : Original Article

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

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Journal of the Egyptian Mathematical Society
Volume 30, Issue 1
2022
Pages 1-33

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