caa a22 4500 469124369 CHVBK 20180323133147.0 cr unu---uuuuu 170328e19920601xx s 000 0 eng 10.1007/BF00032514 doi (NATIONALLICENCE)springer-10.1007/BF00032514 Gautesen A.K. Ames Laboratory, Iowa State University, 50011, Ames, Iowa, USA aut The interface crack in a tension field: an eigenvalue problem for the gap [Elektronische Daten] [A.K. Gautesen] The problem of the interface crack in a tension field is reexamined with the objective of obtaining simple and explicit expressions for all quantities of physical interest. The known exact solution to this problem is complicated and difficult to analyze. Here the gap is shown to satisfy an eigenvalue problem. The condition that the gap is nonnegative implies that the smallest eigenvalue is the correct one. A simple uniform approximation for the gap is obtained by using the method of matched asymptotic expansions to take advantage of the smallness of the contact zones. As the tangential shift satisfies the same differential equation as the gap, a uniform approximation for this quantity is obtained by the same method. The tractions are also shown to satisfy a second order ordinary differential equation, and uniform approximations are given for the quantities. Kluwer Academic Publishers, 1992 International Journal of Fracture Kluwer Academic Publishers 55/3(1992-06-01), 261-271 0376-9429 55:3<261 1992 55 10704 https://doi.org/10.1007/BF00032514 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00032514 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gautesen A.K. Ames Laboratory, Iowa State University, 50011, Ames, Iowa, USA aut NATIONALLICENCE 773 0- International Journal of Fracture Kluwer Academic Publishers 55/3(1992-06-01), 261-271 0376-9429 55:3<261 1992 55 10704 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer