Line Force in a Two-Phase Orthotropic Medium

Abstract

Based on the generalized method of images, the elastic field of an in-plane line force acting in a two-phase orthotropic medium is analyzed. Several special cases of technological interest are deduced from the general solution, including the case of a line force applied on the free surface of a half space. Application of the results to the determination of the elastic field of an edge dislocation in a semi-infinite orthotropic medium is illustrated.

The crack problem for an orthotropic half-plane stiffened by elastic films

“…Similarly the Green's functions for a pair of concentrated forces acting at a point (0, yo) on the boundary are given by [13] Table 4. The normalized stress intensity factor as a function of Ch for an orthotropic half-plane containing an edge crack under far-tieid Lý-nsion.…”

Static Deformation due to a Long Tensile Fault of Finite Width in an Isotropic Half-Space Welded with an Orthotropic Half-Space

“…As given by Rani et al (1991), we have the Airy stress function for an arbitrary line source parallel to the x 1 -axis and passing through the point located in the isotropic half-space welded with the orthotropic half-space. For the isotropic half-space, (9) and for orthotropic half-space, (10) Where, receiver location, ,…”

“…The integrals were then evaluated analytically, obtaining closed-form expressions for the Airy stress function, the displacements and the stresses at any point of the half-space caused by two-dimensional buried sources. Wu and Chou (1982) [10] applied the generalized method of images to obtain the elastic field of an in-plane line force acting in a two phase orthotropic medium. Singh (1986) [11], and Pan (1989a) [12] studied the static deformation of a transversely isotropic multilayered half-space by surface loads.…”

Green's Function for Anisotropic-Isotropic Materials Using Stroh Formalism

“…，半無限異方性体については Barnett-Lothe の解 (8) ，二相直交異方性体については WuChou の解 (9) がある．また陳は集中力と転位を有する等方性と異方性材料の接合体の解 (10) を導出している．三 次元異方性弾性体については，1900 年に Fredholm が無限異方性体のグリーン関数を導いている…”