Kotooussov, A.Wang, C.2007-07-052007-07-052002International Journal of Engineering Science, 2002; 40(15):1775-17900020-7225http://hdl.handle.net/2440/33815Copyright © 2002 Elsevier ScienceThis paper presents some fundamental solutions of the three-dimensional stress distribution pertaining to a point force and an edge dislocation in an infinite plate of arbitrary thickness. These solutions are obtained using the generalised plane strain theory, which assumes that the through-the-thickness extensional strain is uniform in the thickness direction. These solutions recover, as special cases, the plane-strain solutions of the classical theory of elasticity close to the source and the plane-stress solution at large distance away from the source. Using these new solutions, the problem of a through-crack in an infinite plate of arbitrary thickness has been solved analytically. © 2002 Elsevier Science Ltd. All rights reserved.enFundamental solutions for the generalised plane strain theoryJournal article002006413110.1016/S0020-7225(02)00041-10001784177000072-s2.0-003672464050502Kotooussov, A. [0000-0001-9337-5095]