CAJ | 학술논문

在无限大正交各向异性体弹性平面上对复合材料桥纤维平行自由表面的内部中央裂纹提出了桥纤维拔出的动态裂纹模型.通过复变函数将其转化为Reimann-Hilbert混合边界值问题.求得了裂纹在坐标原点受载荷Px/t、Px~2/t作用的解析解.利用这一解析解可通过迭加原理求得任意复杂问题的解.
재무한대정교각향이성체탄성평면상대복합재료교섬유평행자유표면적내부중앙렬문제출료교섬유발출적동태렬문모형.통과복변함수장기전화위Reimann-Hilbert혼합변계치문제.구득료렬문재좌표원점수재하Px/t、Px~2/t작용적해석해.이용저일해석해가통과질가원리구득임의복잡문제적해.
An elastic analysis of an internal central crack with bridging fibers parallel to the free surface in an infinite orthotropic anisotropic elastic plane is studied,and a dynamic model of bridging fiber pull-out crack of composites is presented.By means of the complex functions,the problems are facilely translated into a Reimann-Hilbert mixed boundary value problem,and a straightforward and facile analytical solution is presented.Analytical solutions under the action of increasing loads Pt/x and Px~2/t located at the origin of the coordinates of the crack,respectively,are gained.Via those solutions,the solutions of arbitrarily complex problems can be acquired by using the superposition principle.