Fracture analysis of a nonhomogeneous beam with two concentric cylindrical longitudinal cracks

IF 0.7 Q3 ENGINEERING, MULTIDISCIPLINARY

Engineering Review Pub Date : 2021-01-01 DOI:10.30765/er.1497

V. Ri̇zov

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Abstract

This paper is concerned with the analysis of the fracture behaviour of a nohomogeneous cantilever beam with two concentric longitudinal cracks. The beam has a circular cross-section with linearly varying radius along the beam length. Moreover, the beam exhibits continuously varying material inhomogeneity in the radial direction. The fracture is analyzed in terms of strain energy release rate assuming nonlinear mechanical behaviour of the material. For this purpose, solutions for the strain energy release rate are derived by considering the energy balance. Two cantilever beam configurations with different lengths of longitudinal cracks are analysed. Moreover, the two cracks are arranged arbitrarily in the radial direction. The longitudinal fracture behaviour of the beam is also analysed by considering the complementary strain energy for verification. The strain energy release rate solutions are used to investigate the influence of varying radius of the cross section along the length of the beam on the longitudinal fracture behaviour. The effects of crack lengths and the location of the two concentric cracks in the radial direction on fracture are also studied. The influences of the loading conditions of the beam and the inhomogeneity of the material in the radial direction on the fracture behaviour are also evaluated.

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具有两个同心圆柱形纵向裂纹的非均匀梁断裂分析

本文对具有两个同心纵向裂纹的非均匀悬臂梁的断裂行为进行了分析。光束具有沿光束长度线性变化半径的圆形截面。此外，光束在径向上表现出连续变化的材料不均匀性。假设材料力学行为为非线性，用应变能释放率对断裂进行分析。为此，考虑能量平衡，导出应变能释放率的解。分析了两种具有不同纵裂缝长度的悬臂梁结构。此外，两个裂纹在径向上是任意排列的。考虑补充应变能对梁的纵向断裂行为进行了分析验证。采用应变能释放率解研究了沿梁长截面半径变化对纵向断裂行为的影响。研究了裂纹长度和径向上两个同心裂纹的位置对断裂的影响。分析了梁的加载条件和材料径向不均匀性对断裂行为的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Engineering Review ENGINEERING, MULTIDISCIPLINARY-

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Engineering Review is an international journal designed to foster the exchange of ideas and transfer of knowledge between scientists and engineers involved in various engineering sciences that deal with investigations related to design, materials, technology, maintenance and manufacturing processes. It is not limited to the specific details of science and engineering but is instead devoted to a very wide range of subfields in the engineering sciences. It provides an appropriate resort for publishing the papers covering prior applications – based on the research topics comprising the entire engineering spectrum. Topics of particular interest thus include: mechanical engineering, naval architecture and marine engineering, fundamental engineering sciences, electrical engineering, computer sciences and civil engineering. Manuscripts addressing other issues may also be considered if they relate to engineering oriented subjects. The contributions, which may be analytical, numerical or experimental, should be of significance to the progress of mentioned topics. Papers that are merely illustrations of established principles or procedures generally will not be accepted. Occasionally, the magazine is ready to publish high-quality-selected papers from the conference after being renovated, expanded and written in accordance with the rules of the magazine. The high standard of excellence for any of published papers will be ensured by peer-review procedure. The journal takes into consideration only original scientific papers.