|
|||||
|
|
| ANTI-PLANE FRACTURE ANALYSIS OF FUNCTIONALLY GRADIENT MATERIAL INFINITE STRIP WITH FINITE WIDTH | |
| 引用本文： | 李永东,贾斌,张男,戴耀,唐立强. ANTI-PLANE FRACTURE ANALYSIS OF FUNCTIONALLY GRADIENT MATERIAL INFINITE STRIP WITH FINITE WIDTH[J]. 应用数学和力学(英文版), 2006, 27(6): 773-780. DOI: 10.1007/s 10483-006-0608-z |
| 作者姓名： | 李永东 贾斌 张男 戴耀 唐立强 |
| 作者单位： | Division of Engineering Mechanics Department of Mechanical Engineering Academy of Armored Force Engineering，Beijing 100072，P. R. China，School of Astronautics Harbin Institute of Technology，Harbin 150001，P. R. China，Division of Engineering Mechanics Department of Mechanical Engineering，Academy of Armored Force Engineering，Beijing 100072，P. R. China，Division of Engineering Mechanics Department of Mechanical Engineering，Academy of Armored Force Engineering，Beijing 100072，P. R. China，College of Civil Engineering Harbin Engineering University，Harbin 150001，P. R. China |
| 基金项目： | 国家高技术研究发展计划(863计划) |
| 摘 要： | The special case of a crack under mode III conditions was treated, lying parallel to the edges of an infinite strip with finite width and with the shear modulus varying exponentially perpendicular to the edges. By using Fourier transforms the problem was formulated in terms of a singular integral equation. It was numerically solved by representing the unknown dislocation density by a truncated series of Chebyshev polynomials leading to a linear system of equations. The stress intensity factor (SIF) results were discussed with respect to the influences of different geometric parameters and the strength of the non-homogeneity. It was indicated that the SIF increases with the increase of the crack length and decreases with the increase of the rigidity of the material in the vicinity of crack. The SIF of narrow strip is very sensitive to the change of the non-homogeneity parameter and its variation is complicated. With the increase of the non-homogeneity parameter, the stress intensity factor may increase, decrease or keep constant, which is mainly determined by the strip width and the relative crack location. If the crack is located at the midline of the strip or if the strip is wide, the stress intensity factor is not sensitive to the material non-homogeneity parameter. |
| 关 键 词： | 反平面断裂分析 有限宽度 官能梯度材料 Fourier转换 单一积分方程 |
| 收稿时间： | 2005-04-08 |
| 修稿时间： | 2006-02-12 |
Anti-plane fracture analysis of functionally gradient material infinite strip with finite width |
|
| Yong-dong Li Doctor,Bin Jia,Nan Zhang,Yao Dai,Li-qiang Tang. Anti-plane fracture analysis of functionally gradient material infinite strip with finite width[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(6): 773-780. DOI: 10.1007/s 10483-006-0608-z | |
| Authors: | Yong-dong Li Doctor Bin Jia Nan Zhang Yao Dai Li-qiang Tang |
| Affiliation: | 1. Division of Engineering Mechanics, Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing 100072, P. R. China 2. School of Astronautics, Harbin Institute of Technology, Harbin 150001, P. R. China 3. College of Civil Engineering, Harbin Engineering University, Harbin 150001, P. R. China |
| Abstract: | The special case of a crack under mode III conditions was treated, lying parallel to the edges of an infinite strip with finite width and with the shear modulus varying exponentially perpendicular to the edges. By using Fourier transforms the problem was formulated in terms of a singular integral equation. It was numerically solved by representing the unknown dislocation density by a truncated series of Chebyshev polynomials leading to a linear system of equations. The stress intensity factor (SIF) results were discussed with respect to the influences of different geometric parameters and the strength of the non-homogeneity. It was indicated that the SIF increases with the increase of the crack length and decreases with the increase of the rigidity of the material in the vicinity of crack. The SIF of narrow strip is very sensitive to the change of the non-homogeneity parameter and its variation is complicated. With the increase of the non-homogeneity parameter, the stress intensity factor may increase, decrease or keep constant, which is mainly determined by the strip width and the relative crack location. If the crack is located at the midline of the strip or if the strip is wide, the stress intensity factor is not sensitive to the material non-homogeneity parameter. |
| Keywords: | functionally gradient material anti-plane fracture stress intensity factor Fourier transform singular integral equation finite-width strip |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ | |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 | |
| 点击此处可从《应用数学和力学(英文版)》下载全文 | |