caa a22 4500 467951756 CHVBK 20180405193743.0 cr unu---uuuuu 170328e20041001xx s 000 0 eng 10.1007/s00419-003-0316-3 doi (NATIONALLICENCE)springer-10.1007/s00419-003-0316-3 (NATIONALLICENCE)springer-10.1007/BF02637207 Stress concentration of an ellipsoidal inclusion of revolution in a semi-infinite body under biaxial tension [Elektronische Daten] [Nao-Aki Noda, Yasuhiro Moriyama] Summary: This paper deals with the stress concentration problem of an ellipsoidal inclusion of revolution in a semi-infinite body under biaxial tension. The problem is formulated as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where unknowns are densities of body forces distributed in the r- and z-directions in semi-infinite bodies having the same elastic constants as the ones of the matrix and inclusion. In order to satisfy the boundary conditions along the ellipsoidal boundary, four fundamental density functions proposed in [24, 25] are used. The body-force densities are approximated by a linear combination of fundamental density functions and polynomials. The present method is found to yield rapidly converging numerical results for stress distribution along the boundaries even when the inclusion is very close to the free boundary. The effect of the free surface on the stress concentration factor is discussed with varying the distance from the surface, the shape ratio and the elastic modulus ratio. The present results are compared with the ones of an ellipsoidal cavity in a semi-infinite body. Springer-Verlag Berlin Heidelberg, 2004 Stress concentration nationallicence Body-force method nationallicence Ellipsoidal inclusion nationallicence Singular integral equation nationallicence Numerical analysis nationallicence Semi-infinite body nationallicence Noda Nao-Aki Department of Mechanical Engineering, Kyushu Institute of Technology, 804-8550, Kitakyushu, Japan aut Moriyama Yasuhiro Department of Mechanical Engineering, Kyushu Institute of Technology, 804-8550, Kitakyushu, Japan aut Archive of Applied Mechanics Springer-Verlag 74/1-2(2004-10-01), 29-44 0939-1533 74:1-2<29 2004 74 419 https://doi.org/10.1007/s00419-003-0316-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-003-0316-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Noda Nao-Aki Department of Mechanical Engineering, Kyushu Institute of Technology, 804-8550, Kitakyushu, Japan aut NATIONALLICENCE 700 1- Moriyama Yasuhiro Department of Mechanical Engineering, Kyushu Institute of Technology, 804-8550, Kitakyushu, Japan aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 74/1-2(2004-10-01), 29-44 0939-1533 74:1-2<29 2004 74 419 NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02637207 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer