Quantification of the role of surface on the response of crack in two-dimensional Couple stress elasticity

IF 3.8 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures Pub Date : 2025-05-26 DOI:10.1016/j.ijsolstr.2025.113442

Shankar N. Mahendru, Tanmay K. Bhandakkar

引用次数: 0

Abstract

Utilizing distributed dislocation technique, role of surface on the response of crack in Couple stress elasticity is analysed through two configurations in a half-plane undergoing plane strain deformation: (i) buried full crack and (ii) edge crack; both normal to the free surface, subjected to far-field mode-I and mode-II loading. As a part of the quantification of surface’s contribution, measures of fracture particularly crack-opening displacement, stress-intensity factor and energy release rate are computed as a function of nearness of crack to the free surface, crack length, characteristic length and contrasted against the result in an infinite plane as well as the corresponding result in classical linear elasticity. The present study can offer design guidelines for fault tolerant design of elastic systems displaying size effect.

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二维耦合应力弹性中表面对裂纹响应作用的量化

利用分布位错技术，通过在半平面上进行平面应变变形的两种形态(1)埋地全裂纹和(2)边缘裂纹，分析了表面对偶应力弹性裂纹响应的作用；均垂直于自由表面，承受远场i型和ii型载荷。作为表面贡献量化的一部分，断裂的度量，特别是裂纹张开位移、应力强度因子和能量释放率作为裂纹与自由表面的接近程度、裂纹长度、特征长度的函数来计算，并与无限平面上的结果以及经典线弹性的相应结果进行对比。本研究可为具有尺寸效应的弹性系统的容错设计提供指导。

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.