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

Computer Modeling in Engineering & Sciences 2020年第2期122卷 415-432页

作者： Kei Saito Tei Hirashima Ninshu Ma Hidekazu Murakawa JSOL Corporation 2-5-24 HarumiChuo-kuTokyo104-0053Japan. Osaka University 11-1 MihogaokaIbarakiOsaka567-0047Japan.

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.

关键词： Characteristic tensor stress-intensity factor mixed-mode loading kinked crack.

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Modeling and computation by artificial neural network of fracture toughness of low alloy steel to study the effect of alloy composition

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International Journal of Modeling, Simulation, and Scientific Computing 2018年第6期9卷 43-56页

作者： Subir Paul Shibasish Bhattacharjee Department of Metallurgical and Material Engineering Jadavpur University Kolkata India

The unpredictable structure failures of carbon steel and low alloy steel leading to accidents may be caused by the propagation of a flaw or crack already present in the *** toughness which describes the ability of a material containing a crack to resist fracture is one of the most important material properties for design applications of metallic *** this material property is influenced by several parameters,namely material chemistry,heat treatment,morphology of structure,it requires millions of experiments to be conducted to understand and predict ***,mathematical modeling is one of the solutions to find the effect of these parameters and design future ***–intensity factor(KIC)is a quantitative parameter of fracture toughness determining a maximum value of stress which may be applied to a specimen containing a crack(notch)of a certain *** artificial neural network(ANN)model was developed using over 100 sets of data to study the effect of alloying elements on fracture toughness,KIC for the low alloy steel.20%of data was used for training,60%to develop predictive model and rest of the 20%for *** model can predict the fracture toughness of unknown new data close to 80%accuracy which is good enough for statistical *** details of program code with ANN modeling steps have been *** of fracture toughness by the model with variation of alloy composition as well as yield stress gives interesting and important information which may help in designing alloy which will resist crack propagation in a structure and hence enhance the life of structure to fail.

关键词： stress-intensity factor fracture toughness low alloy steel alloying elements ANN modeling prediction

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PLANE PROBLEMS OF A FINITE DISC CONTAINING AN INTERNAL CRACK

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Applied Mathematics and Mechanics(English Edition) 1990年第10期11卷 921-930页

作者：尹昌言祖承德 Luoyang Institute of Technology Luoyang The Northeast Heavy Machinery Institute Qiqihaer

Using complex variable methods in elasticity, this paper deals with the plane problems ot a finite disc containing an internal linear crack at any position under general loads, obtains the general forms of Complex stress functions and stress-intensity tactors expressed in terms of series, and to these problems disiusses three sposial cases,*** cases of the crack under a uniform pressure, a uniform shear stress and the use of the dise rotating uniformly. In these cases the approximate formulas calcidating the stress-intensity factors are also presented. The calculated results shun that for the middle *** orachs situated inside the disc and not near the external boundary,these approximate formulas give good or better approximation.

关键词： plane problem disc containing a crack stress-intensity factor stress field,displacement Held

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