Analysis on the cohesive stress at half infinite crack tip |
| |
Authors: | Wang Li-min Xu Shi-lang |
| |
Affiliation: | 1. Mechanics Department, Shandong University of Technology, Zibo, Shandong 255012, P. R. China;2. Department of Civil Engineering, Dalian University of Technology, Dalian 116024, P. R. China |
| |
Abstract: | The nonlinear fracture behavior of quasi-brittle materials is closely related with the cohesive force distribution of fracture process zone at crack tip. Based on fracture character of quasi-brittle materials, a mechanical analysis model of half infinite crack with cohesive stress is presented. A pair of integral equations is established according to the superposition principle of crack opening displacement in solids, and the fictitious adhesive stress is unknown function . The properties of integral equations are analyzed, and the series function expression of cohesive stress is certified. By means of the data of actual crack opening displacement, two approaches to gain the cohesive stress distribution are proposed through resolving algebra equation. They are the integral transformation method for continuous displacement of actual crack opening, and the least square method for the discrete data of crack opening displacement. The calculation examples of two approaches and associated discussions are given. |
| |
Keywords: | quasi-brittle material crack cohesive force integral equation method of least squares integral transformation method algebra equation |
本文献已被 CNKI 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 |
|