 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13205 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8140
|
| In English (Mech. Solids): | | 5065 |
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| Jiping Ge, Yibin Gou, and Tianyu Wang, "Static Analysis of Euler-Bernoulli Beam with Arbitrary Number of Oblique Cracks: a Semi-Analytical Method," Mech. Solids. 60 (2), 1253-1271 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
2 |
Pages |
1253-1271 |
| DOI |
10.1134/S0025654425600035 |
| Title |
Static Analysis of Euler-Bernoulli Beam with Arbitrary Number of Oblique Cracks: a Semi-Analytical Method |
| Author(s) |
Jiping Ge (School of safety engineering and urban construction, Shanghai institute of Technology, Shanghai, 201418 China)
Yibin Gou (School of safety engineering and urban construction, Shanghai institute of Technology, Shanghai, 201418 China)
Tianyu Wang (School of safety engineering and urban construction, Shanghai institute of Technology, Shanghai, 201418 China, ty_wang@sit.edu.cn) |
| Abstract |
Due to the complexity of modeling, few studies have focused on the effects of oblique cracks
on Euler-Bernoulli beams, particularly when the beam contains an arbitrary number of unilateral
oblique cracks subjected to arbitrary transverse loads. This paper presents a semi-analytical solution
for the static analysis of Euler-Bernoulli beams with an arbitrary number of oblique cracks, derived
using Dirac delta functions within a generalized expression of beam flexibility. The semi-analytical
solution only requires the application of boundary conditions for calculation and has been validated
against finite element analysis. The effects of crack number, relative depths, and inclination angles of
cracks on the static response of the beam are further explored. The results demonstrate that the proposed method can efficiently and accurately predict the static behavior of obliquely cracked beams,
providing a novel and practical tool for engineering applications. |
| Keywords |
Euler-Bernoulli Beam, oblique cracks, local flexibility, static analysis, crack inclination angle |
| Received |
04 January 2025 | Revised |
26 February 2025 | Accepted |
12 March 2025 |
| Link to Fulltext |
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