Characteristic Tensor for Evaluation of Singular Stress Field Under Mixed-Mode Loadings

作     者：Kei Saito Tei Hirashima Ninshu Ma Hidekazu Murakawa 

作者机构：JSOL Corporation2-5-24 HarumiChuo-kuTokyo104-0053Japan. Osaka University11-1 MihogaokaIbarakiOsaka567-0047Japan. 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2020年第122卷第2期

页      面：415-432页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Characteristic tensor stress-intensity factor mixed-mode loading kinked crack. 

摘      要：A characteristic tensor is defined using stress tensor averaged in a small circular domain at the crack tip and multiplied by the root of domain *** possesses the original stress tensor characteristics and has a simple relationship with conventional fracture-mechanics ***,it can be used to estimate stress intensity factors(SIFs)for cracks of arbitrary shape subjected to multiaxial stress loads.A characteristic tensor can also be used to estimate SIFs for kinked *** study examines the relation between a characteristic tensor and SIFs to demonstrate the correlation between the characteristic tensor and fracture-mechanics ***,a single straight crack and a kinked crack of finite length existing in a twodimensional,infinite isotropic elastic body in a plane stress state,were considered to investigate the properties of the characteristic tensor under mixed-mode *** demonstrate the practical utility of the characteristic tensor,the stress distribution obtained through finite element analysis(FEA)was used to estimate mixed-mode SIFs,and the values of estimated SIFs were compared with those obtained using an analytical *** demonstrate that SIFs estimated under mixed-mode loadings exhibit a good agreement with the analytical *** indicates that the proposed characteristictensor-based approach is effective in extracting features of singular stress fields at crack tips,and can be employed to estimate values of fracture-mechanics parameters,such as *** to its simplicity,the proposed approach can be easily incorporated in commercial FE codes for practical applications to simulate the crack-growth problem under both static and dynamic loading *** excellent applicability of the characteristic tensor greatly contributes to efficiency of the design process in industries.