caa a22 4500 46908474X CHVBK 20180323133002.0 cr unu---uuuuu 170328e19921101xx s 000 0 eng 10.1007/BF00044514 doi (NATIONALLICENCE)springer-10.1007/BF00044514 The stress field near the front of an arbitrarily shaped crack in a three-dimensional elastic body [Elektronische Daten] [Jean-Baptiste Leblond, Olivier Torlai] The problem stated in the title is investigated with special emphasis on the first three terms of the stress expansion, proportional to r -1/2, r 0=1 and r 1/2 respectively, where r denotes the distance to the crack front. The particular case of a plane crack with a straight front and of stresses independent of the distance along the latter is studied first. It is shown that the classical plane strain and antiplane solutions must be supplemented by a few additional particular solutions to obtain the full stress expansion. The general case is then considered. The stress expansion is studied by writing the field equations (equilibrium, strain compatibility and boundary conditions) in a system of suitable curvilinear coordinates. It is shown that the number of independent constants in the stress expansion is the same as in the particular case considered previously but that the curvatures of the crack and its front and the non-uniformity of the stresses along the latter induce the appearance of corrective terms in this expansion. Kluwer Academic Publishers, 1992 73M05 nationallicence Leblond Jean-Baptiste Laboratoire de Mécanique des Solides, Ecole Polytechnique, 91128, Palaiseau, France aut Torlai Olivier Laboratoire de Mécanique des Solides, Ecole Polytechnique, 91128, Palaiseau, France aut Journal of Elasticity Kluwer Academic Publishers 29/2(1992-11-01), 97-131 0374-3535 29:2<97 1992 29 10659 https://doi.org/10.1007/BF00044514 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00044514 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Leblond Jean-Baptiste Laboratoire de Mécanique des Solides, Ecole Polytechnique, 91128, Palaiseau, France aut NATIONALLICENCE 700 1- Torlai Olivier Laboratoire de Mécanique des Solides, Ecole Polytechnique, 91128, Palaiseau, France aut NATIONALLICENCE 773 0- Journal of Elasticity Kluwer Academic Publishers 29/2(1992-11-01), 97-131 0374-3535 29:2<97 1992 29 10659 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer