河南科技大学学报（自然科学版）2024，Vol.45Issue(2)：44-55,12.DOI:10.15926/j.cnki.issn1672-6871.2024.02.006
T应力作用下的J积分理论研究
Theoretical Study on J-integral Subjected to T-stress
摘要
Abstract
T-stress is one of the necessary physical quantities to characterize the stress field at the crack tip,and the properties of J-integral under its action remain to be investigated.The expression of J-integral considering T-stress was derived in this paper.The numerical simulation method was used to verify the expression under mode Ⅰ,mode Ⅱ and mixed mode Ⅰ+Ⅱ loading conditions,and a calculation method of crack tip stress field parameters based on J-integral was given.The theoretical derivation proves that the path conservation of the J1-integral is not affected by T-stress,but the value of the J2-integral meets the linear relationship with the square root of the distance from the start and end point of the integral path to the crack tip,and the coefficient of J2-r curve is related to T-stress.The finite element simulation results show that the crack length of the specimen has a significant effect on the J-integral,while the mesh size has a small effect on the J-integral calculation results.Under the same loading condition,J-integral values of different sizes specimens are different,but the trend of J2-r curve change is consistent with the expression derived from theory.Under mode Ⅱ and mixed mode Ⅰ+Ⅱ loading conditions,the solving accuracy of T-stress is high,while under mode Ⅰ loading conditions,J2≈0,the solving accuracy is reduced due to factors such as rounding error.关键词
J积分/T应力/复合型断裂/数值模拟Key words
J-integral/T-stress/mixed mode fracture/numerical simulation分类
数理科学引用本文复制引用
谌赫,魏豪杰,王文胜..T应力作用下的J积分理论研究[J].河南科技大学学报（自然科学版）,2024,45(2):44-55,12.基金项目
国家自然科学基金项目(51875197) （51875197）
