caa a22 4500 469124954 CHVBK 20180323133148.0 cr unu---uuuuu 170328e19921201xx s 000 0 eng 10.1007/BF00048950 doi (NATIONALLICENCE)springer-10.1007/BF00048950 Numerical solutions of the singular integral equations in the crack analysis using the body force method [Elektronische Daten] [Nao-Aki Noda, Kazuhiro Oda] In this paper, numerical solutions of the singular integral equations of the body force method in the crack problems are discussed. The stress fields induced by ‘two kinds of displacement discontinuity' are used as fundamental solutions. Then, the problem is formulated as a hypersingular integral equation with the singularity of the form r 2. In the numerical calculation, two kinds of unknown functions are approximated by the products of the fundamental density function and the Chebyshev polynomials. As examples, the stress intensity factors of the oblique edge crack, kinked crack, branched crack and zig-zag crack are analyzed. The calculation shows that the present method gives accurate results even for the extremely oblique edge crack and kinked crack with extremely short bend which has been difficult to analyze by the previous method using the approximation by the products of the fundamental density function and the stepped functions etc. Kluwer Academic Publishers, 1992 Noda Nao-Aki Department of Mechanical Engineering, Kyushu Institute of Technology, 804, Kitakyushu, Japan aut Oda Kazuhiro Department of Mechanical Engineering, Kyushu Institute of Technology, 804, Kitakyushu, Japan aut International Journal of Fracture Kluwer Academic Publishers 58/4(1992-12-01), 285-304 0376-9429 58:4<285 1992 58 10704 https://doi.org/10.1007/BF00048950 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00048950 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Noda Nao-Aki Department of Mechanical Engineering, Kyushu Institute of Technology, 804, Kitakyushu, Japan aut NATIONALLICENCE 700 1- Oda Kazuhiro Department of Mechanical Engineering, Kyushu Institute of Technology, 804, Kitakyushu, Japan aut NATIONALLICENCE 773 0- International Journal of Fracture Kluwer Academic Publishers 58/4(1992-12-01), 285-304 0376-9429 58:4<285 1992 58 10704 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer