摘要
根据线弹性理论,导出了椭圆裂纹边缘的切向应力的表达式。分别给出了单向压力、双向压力、单向压力与裂隙水压力共同作用3种情况下椭圆边缘开裂点的位置、开裂方向和最大切向拉应力值。根据最大拉应力理论,给出了最大切向拉应力和临界载荷公式。结果表明,开裂点、开裂角、最大切向拉应力和临界载荷随椭圆的纵横轴比和倾角的不同而变化,由此可得到最危险的倾角。
By using linear elastic theory, formulae for tangential stress on ellipse edge are derived. Opening point, opening angle and maximal tangential stress on ellipse edge are presented under uniaxial compression, biaxial compression and uniaxial compression with fissure water pressure respectively. Based on the maximal tension stress theory, formulae of maximal tangential stress and critical load are presented. The results show that opening point, opening angle, maximal tangential stress and critical load vary with aspect ratio and inclined angle. The most dangerous inclined angle is obtained accordingly.
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2004年第z2期4721-4725,共5页
Chinese Journal of Rock Mechanics and Engineering
基金
国家自然科学基金(40272120)国家杰出青年科学基金(50229901)资助项目
关键词
岩石力学
椭圆裂纹
围压
裂隙水压力
开裂点
开裂角
临界载荷
rock mechanics, ellipse crack, confining pressure, fissure water pressure, opening point, opening angle, critical load