caa a22 4500 46908488X CHVBK 20180323133002.0 cr unu---uuuuu 170328e19920701xx s 000 0 eng 10.1007/BF00041775 doi (NATIONALLICENCE)springer-10.1007/BF00041775 Stress concentration due to an array or hemispherical cavities at the surface of an elastic half-space [Elektronische Daten] [Xiaoping Lu, J. Barber, Maria Comninou] The paper investigates the perturbation in an otherwise uniform stress field in an elastic half-space due to a doubly-periodic array of small hemispherical holes at the free surface. The solution is obtained using three potential functions of double Fourier series form in Galerkin's strain potential solution, the coefficients of which are determined using the collocation method. The unperturbed field is taken to be one of uniform plane stress parallel to the free surface. Two special cases are studied—uniform tension and uniform shear stress. Numerical results for these cases can be generalized by superposition to give solutions for a general state of biaxial plane stress. It is found that, for both tension and shear, the maximum stress concentration occurs at the bottom of the holes. The stress concentration factor increases with the ratio of hole spacing to radius, approaching the known solution for a single hemispherical hole at large ratios. Kluwer Academic Publishers, 1992 Lu Xiaoping Department of Mechanical Engineering and Applied Mechanics, University of Michigan, 18109, Ann Arbor, MI, USA aut Barber J. Department of Mechanical Engineering and Applied Mechanics, University of Michigan, 18109, Ann Arbor, MI, USA aut Comninou Maria Department of Mechanical Engineering and Applied Mechanics, University of Michigan, 18109, Ann Arbor, MI, USA aut Journal of Elasticity Kluwer Academic Publishers 28/2(1992-07-01), 111-122 0374-3535 28:2<111 1992 28 10659 https://doi.org/10.1007/BF00041775 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00041775 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lu Xiaoping Department of Mechanical Engineering and Applied Mechanics, University of Michigan, 18109, Ann Arbor, MI, USA aut NATIONALLICENCE 700 1- Barber J. Department of Mechanical Engineering and Applied Mechanics, University of Michigan, 18109, Ann Arbor, MI, USA aut NATIONALLICENCE 700 1- Comninou Maria Department of Mechanical Engineering and Applied Mechanics, University of Michigan, 18109, Ann Arbor, MI, USA aut NATIONALLICENCE 773 0- Journal of Elasticity Kluwer Academic Publishers 28/2(1992-07-01), 111-122 0374-3535 28:2<111 1992 28 10659 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer