Triple longitudinal fracture of inhomogeneous beam under four-point bending

IF 0.7 Q3 ENGINEERING, MULTIDISCIPLINARY

Engineering Review Pub Date : 2023-01-01 DOI:10.30765/er.2052

V. Ri̇zov

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引用次数: 0

Abstract

The present paper is devoted to fracture analysis of an inhomogeneous non-linear elastic beam configuration with three parallel longitudinal cracks. The material is continuously inhomogeneous along the beam height. The beam is subjected to four-point bending. The longitudinal fracture behavior is studied by applying the J-integral approach. Solutions to the J-integral are obtained for the three cracks. For this purpose, the curvature and the coordinates of neutral axes of the crack arms are determined by using the equations for equilibrium of the elementary forces in the cross-sections of different portions of the beam. The solutions to the J-integral are valid for arbitrary locations of the cracks along the beam height. Thus, the solutions are very useful for evaluating of the effects of locations of cracks on the fracture. The longitudinal fracture behavior is studied also in terms of the strain energy release rate in order to verify the solutions to the J-integral. Solutions to the strain energy release rate are derived for the three cracks by considering the complementary strain energy in the beam. The solutions to the J-integral are applied to evaluate the effects of locations of the cracks, the material inhomogeneity, the sizes of the beam cross-section, and the coordinates of the applications points of the external forces on the longitudinal fracture behavior of the beam.

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非均匀梁在四点弯曲作用下的三重纵向断裂

本文研究了具有三个平行纵向裂纹的非均匀非线性弹性梁结构的断裂分析。材料沿梁高连续不均匀。梁经受四点弯曲。采用j积分法对纵向断裂行为进行了研究。得到了三个裂纹的j积分解。为此，裂纹臂的曲率和中性轴的坐标由梁的不同部分的横截面上的基本力平衡方程确定。j积分的解对沿梁高方向任意位置的裂缝都是有效的。因此，这些解对于评价裂纹位置对断裂的影响是非常有用的。为了验证j积分的解，还从应变能释放率的角度研究了纵向断裂行为。考虑梁内的互补应变能，导出了三裂纹应变能释放率的解。利用j积分的解来评价裂缝位置、材料不均匀性、梁截面尺寸和外力作用点坐标对梁纵向断裂行为的影响。

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.