Abstract
An elastic state in arbitrarily anisotropic cylinders is considered for the case in which the displacement does not vary in the direction of the axis. The first and second boundary-value problem are solved for the half-plane and the infinite plane with an elliptic hole as cross sections of the cylinders. With the aid of these solutions one can treat further domains by the method of successive approximation. For a general cross section the problem leads to a system of integral equations. The strain fields about straight dislocation lines parallel to the surface (which may be free from applied stress) are special cases of the treated state of deformation. The solution is given for 1) dislocations in a half-space, 2) dislocations in an infinite plate (through a recursion formula), 3) a dislocation in an infinite solid out of which an elliptic cylinder is cut containing the dislocation line. — From the strain one obtains a formula for the intensity distribution of X-rays reflected under certain conditions by a dislocation parallel to the surface of a half-space. Numerical results are given for two dislocations in Germanium.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.