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386799

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

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Last updated: 31 Dec 2024

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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

DOI

10.1186/s42787-022-00154-x

Keywords

Closed-form solution, Semi-infinite crack, Infinite orthotropic material Mathematics Subject Classification: 74B05, 74B10, 74E10

Volume

30

Article Issue

1

Related Issue

51015

Issue Date

2022-01-01

Receive Date

2024-10-17

Publish Date

2022-01-01

Page Start

1

Page End

33

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_386799.html

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https://joems.journals.ekb.eg/service?article_code=386799

Order

386,799

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

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

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Type

Article

Created At

21 Dec 2024