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5Â¥2015-10-11 21:46:12
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Macro-micro dual scale crack model linked by a restraining stress zone with a linear distribution ×÷Õß:Tang, XS (Tang, X. S.)[ 1 ] ; Gao, CH (Gao, C. H.)[ 1 ] THEORETICAL AND APPLIED FRACTURE MECHANICS ¾í: 71 Ò³: 31-43 ÌØ¿¯: SI DOI: 10.1016/j.tafmec.2014.01.006 ³ö°æÄê: JUN 2014 ²é¿´ÆÚ¿¯ÐÅÏ¢ ÕªÒª Material in a macro-crack tip zone would suffer to some extent damage under loading condition. This can be described by a restraining stress zone in which the distribution of restraining stresses would depend on the material damage. In order to consider the microscopic effects, a micro-notch is attached to the macro-crack tip. Thus, a macro-micro dual scale damage model is established. A linear distribution of restraining stresses is assumed in this work including three cases. Cases A, B and C are, respectively, a right triangle shape, uniform distribution and left triangle shape. Muskhelishivili approach is employed to solve the problem. Obtained are the stress intensity factors (SIF) both at the macro- and micro-scale, crack opening displacement (COD) and strain energy densities (SED) in the analytical form. Numerical calculations are performed. The results show that there is a complicated interaction between the macro-crack and micro-defect. In addition, the distribution of restraining stresses has a large influence on the SIF, COD and SED. (C) 2014 Elsevier Ltd. All rights reserved. ¹Ø¼ü´Ê ×÷Õ߹ؼü´Ê:Linear elastic fracture mechanics (LEFM); Mutilscaling crack model; Restraining stress zone; Stress intensity factor (SIF); Crack opening displacement (COD); Strain energy density (SED) KeyWords Plus AMAGE MODEL; STRONG SINGULARITIES; BOUNDARY-CONDITIONS; ENERGY DENSITY; MESO; WEAK; TIP ×÷ÕßÐÅÏ¢ ͨѶ×÷ÕßµØÖ·: Tang, XS (ͨѶ×÷Õß) Changsha Univ Sci & Technol, Sch Civil Engn & Architecture, Dept Mech, Changsha 410114, Hunan, Peoples R China. µØÖ·: [ 1 ] Changsha Univ Sci & Technol, Sch Civil Engn & Architecture, Dept Mech, Changsha 410114, Hunan, Peoples R China µç×ÓÓʼþµØÖ·:tang_xuesong@sina.com »ù½ð×ÊÖúÖÂл »ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ National Natural Science Foundation of China 51378081 ²é¿´»ù½ð×ÊÖúÐÅÏ¢ ³ö°æÉÌ ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS Àà±ð / ·ÖÀà Ñо¿·½Ïò:Engineering; Mechanics Web of Science Àà±ð:Engineering, Mechanical; Mechanics ÎÄÏ×ÐÅÏ¢ ÎÄÏ×ÀàÐÍ:Article ÓïÖÖ:English Èë²ØºÅ: WOS:000341555500005 ISSN: 0167-8442 eISSN: 1872-7638 ÆÚ¿¯ÐÅÏ¢ Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports® ÆäËûÐÅÏ¢ IDS ºÅ: AO7TM Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 16 Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0 |
2Â¥2015-10-11 20:02:24
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Accession number: 20151300692296 Title: A model of moving crack with a linear distribution of restraining stresses in crack tip zone Authors: Tang, Xue-Song1; Chen, Min-Wei1; Gao, Chang-Hui1 Author affiliation: 1 Department of Mechanics, School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha, China Source title: Zhendong yu Chongji/Journal of Vibration and Shock Abbreviated source title: J Vib Shock Volume: 34 Issue: 3 Issue date: February 15, 2015 Publication year: 2015 Pages: 183-187 Language: Chinese ISSN: 10003835 Document type: Journal article (JA) Publisher: Chinese Vibration Engineering Society Abstract: The analytical solution of moving Griffith crack model with a constant speed is well known as Yoffe solution. For a static crack, its strip yielding model is well known as Dugdale model. It is found that when Dugdale model is generalized to the moving crack case, the crack opening displacement (COD) is discontinuous and approaches to positive and negative infinite at Rayleigh wave speed. Here, a restraining stress zone was attached to the crack tip while two speed effect functions were introduced assuming the restraining stress zone has a linear distribution. The complex function approach was employed to solve the problem. Analytical solutions of dynamic stress intensity factor (SIF) and crack opening displacement (COD) were then obtained. The new COD result was continuous and finite at Rayleigh wave speed. Some numerical results of COD were presented. Some valuable conclusions were obtained. ©, 2015, Chinese Vibration Engineering Society. All right reserved. Number of references: 21 Main heading: Cracks Controlled terms: Crack propagation - Crack tips - Griffith cracks - Rayleigh waves - Stress intensity factors Uncontrolled terms: Complex functions - Crack opening displacements - Model I - Moving cracks - Stress intensity factor (SIF) Classification code: 408 Structural Design - 421 Strength of Building Materials; Mechanical Properties - 484 Seismology DOI: 10.13465/j.cnki.jvs.2015.03.030 Database: Compendex Compilation and indexing terms, © 2015 Elsevier Inc. Full-text and Local Holdings Links Full Text Links Full text |
3Â¥2015-10-11 20:06:20
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4Â¥2015-10-11 20:08:53









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