基于应变的Ⅰ/Ⅱ/Ⅲ复合型断裂准则

李一凡; 董世明; 李念斌; 华文

doi:10.21656/1000-0887.370212

基于应变的Ⅰ/Ⅱ/Ⅲ复合型断裂准则

doi: 10.21656/1000-0887.370212

四川大学建筑与环境学院, 成都 610065

基金项目: 国家自然科学基金(11172186)；国家重大科研仪器设备研制专项(11327801)

详细信息

作者简介:
李一凡（1991—），男，硕士生(E-mail: 2426496244@qq.com);董世明（1963—），男，教授，博士(通讯作者. E-mail: smdong@scu.edu.cn).

中图分类号: O346.1
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- 文章访问数: 913
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- 被引次数: 0
出版历程
- 收稿日期: 2016-07-11
- 修回日期: 2016-08-20
- 刊出日期: 2017-04-15

A Strain-Based Criterion for General

College of Architecture & Environment, Sichuan University, Chengdu 610065, P.R.China

Funds: The National Natural Science Foundation of China(11172186)

摘要

摘要: 将已有的适用于平面断裂的最大周向应变（MTSN）准则，推广到适用于空间三维断裂的断裂准则.并具体讨论了Poisson(泊松)比对复合型断裂的面内断裂角与面外断裂角及断裂包络图的影响.Ⅰ/Ⅲ复合型断裂时，面外断裂角与Poisson比无关.Ⅱ/Ⅲ及Ⅰ/Ⅱ/Ⅲ复合型断裂条件下，面内断裂角随着Poisson比的增大而减小，面外断裂角随着Poisson比的增大而增大.在复合型断裂条件下，包络图均随着Poisson比增大而减小.且Poisson比对断裂包络图的影响大于面内断裂角，对面外断裂角影响最小.将本准则理论预测值与多组实验数据进行对比，预测值与实验值吻合较好，可知推广的MTSN准则能够较好地预测三维断裂.
- 应变型断裂准则 /
- 周向应变 /
- Ⅰ/Ⅱ/Ⅲ复合型 /
- 断裂
Abstract: The maximum tangential strain (MTSN) criterion proposed in the past under mixed mode Ⅰ/Ⅱ loading was extended to spatial cracks. The effects of the Poisson’s ratio on the in-plane and out-of-plane fracture angles and on the fracture envelopes were detailedly discussed for mixed mode cracks. It is shown that the Poisson’s ratio has little effect on the out-of-plane fracture angles for mixed mode Ⅰ/Ⅲ cracks. For mixed modes Ⅱ/Ⅲ and Ⅰ/Ⅱ/Ⅲ cracks, a higher value of the Poisson’s ratio would bring a smaller value of in-plane fracture angle θ_f but a bigger value of out-of-plane fracture angle φ_f. It is also shown that the fracture envelope decreases with the Poisson’s ratio for mixed mode cracks. The influence of the Poisson’s ratio on the fracture envelope is greater than that on the in-plane fracture angle and is the least on the out-of-plane fracture angle. The theoretical results fit the experimental data well, so the extended MTSN criterion can predict spatial fracture satisfactorily.
- strain-based criterion /
- tangential strain /
- mixed mode Ⅰ/Ⅱ/Ⅲ /
- fracture

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