Elastic–plastic crack-tip-opening-displacement-based description for surface, corner and embedded cracks tip stress field

IF 3.4 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures Pub Date : 2025-04-16 DOI:10.1016/j.ijsolstr.2025.113395

Jianqiang Zhang , Pengfei Cui , Wanlin Guo

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引用次数: 0

Abstract

Since part-through crack growth stages occupy most of crack growth life of engineering structures, it is essential to investigate the fracture parameters of part-through cracks. However, the complex three-dimensional (3D) stress states make it difficult to efficiently dominate the crack-tip fields. Here, the 3D elastic–plastic stress intensity factor K_δ-Tz is extended to dominate part-through cracks. Systematic 3D finite element (FE) analyses are conducted for typical part-through cracks (embedded, corner, and surface cracks) considering different elliptical ratios and hardening exponents. It is found that the predicted stress distributions by the δ-T_z solution agree well with 3D FE results. Additionally, the predictive performance of the δ-T_z solution improves with increasing hardening exponents. Across all experimental and numerical results, the variation of J-integral along the crack front line can reach 200%, while remaining within 21% for K_δ-Tz. These results demonstrate that K_δ-Tz can reduce geometric constraints effectively and be a more stable elastic–plastic fracture parameter for part-through cracks in engineering structures.

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基于弹塑性裂纹尖端-开度-位移的表面、角部和嵌埋裂纹尖端应力场描述

由于部分贯通裂纹的生长阶段占据了工程结构裂纹生长寿命的大部分时间，因此研究部分贯通裂纹的断裂参数至关重要。然而，复杂的三维（3D）应力状态使其难以有效地支配裂纹尖端场。在此，我们将三维弹塑性应力强度因子 Kδ-Tz 扩展到局部贯穿裂缝的计算中。考虑到不同的椭圆比和硬化指数，对典型的部分贯穿裂纹（嵌入、转角和表面裂纹）进行了系统的三维有限元（FE）分析。结果发现，δ-Tz 解决方案预测的应力分布与三维 FE 结果非常吻合。此外，δ-Tz 解决方案的预测性能随着硬化指数的增加而提高。在所有实验和数值结果中，沿裂纹前线的 J 积分变化可达 200%，而 Kδ-Tz 的变化则保持在 21% 以内。这些结果表明，Kδ-Tz 可以有效减少几何约束，是工程结构中部分贯通裂缝的一种更稳定的弹塑性断裂参数。

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

International Journal of Solids and Structures 物理-力学

CiteScore

6.70

自引率

8.30%

发文量

405

审稿时长

70 days

期刊介绍： The International Journal of Solids and Structures has as its objective the publication and dissemination of original research in Mechanics of Solids and Structures as a field of Applied Science and Engineering. It fosters thus the exchange of ideas among workers in different parts of the world and also among workers who emphasize different aspects of the foundations and applications of the field. Standing as it does at the cross-roads of Materials Science, Life Sciences, Mathematics, Physics and Engineering Design, the Mechanics of Solids and Structures is experiencing considerable growth as a result of recent technological advances. The Journal, by providing an international medium of communication, is encouraging this growth and is encompassing all aspects of the field from the more classical problems of structural analysis to mechanics of solids continually interacting with other media and including fracture, flow, wave propagation, heat transfer, thermal effects in solids, optimum design methods, model analysis, structural topology and numerical techniques. Interest extends to both inorganic and organic solids and structures.