The Study Of Interrelated Issues About Stress Field Of Propagating Crack-TIP In Orthotropic Mediums

For these years, ACM take a more and more important position in the new material technique realm, and its development and application is quickest in the modern industry activity, it has an important function to promote the international. At present mainly refers has comparatively high strength and enhancement the and so on module boron textile fiber, carbon fiber, fragrant black silk ribbon compound material. Regarding anisotropic material (including orthogonal aeolotropy) crack expansion question analysis and research, the people although have done the massive research work, but accumulates data is actually limited.The feasible scopes of self-similar functions are enriched and expanded further in the dissertation.and self-similar functions have been introduced into several dynamic elastic problems of orthotropic bodies to obtain the close solutions of problems with arbitrary self-similar index.Arbitrary boundary problems which have x~mt~n-form load and displacement segments with constant moving velocities can be solved simply and quickly using the methods in the dissertation,and that arbitrary continuous functions of variables x and,can be expressed in the form of progression sum of x~mt~n,therefore,dynamic elastic boundary problems (including mixed boundary problems)with arbitrary loads and displacements can all be solved using the methods in the dissertation.In particular,the idea of functionally invariant solutions of the wave equation has been introduced into the last part to yield the displacement invariant solutions of the anti-plane equation of motion for orthotropic bodies.There are four3 parts in the dissertation,including self-similar solutions of mode III and interface dynamic cracks and analytic solutions of another form for interface cracks.For problems of mode III and interface dynamic cracks with arbitrary complex boundary conditions, solutions can be obtained through the superposition of certain simple problems.For mode III extending cracks, self-similar solutions for anti-plane equations of motion in orthotropic bodies are used in the problem of mode III crack's extending asymmetrically and extending with one direction only. When...