Abstract
The highly-accurate BEM elastostatic program, which is especially useful for the analysis of dissimilar materials and interface cracks, is introduced in brief. By using this program, we can deal with the elastostatic poblems of isotropic or orthotropic dissimilar materials and also the bonded residual stress due to the mismatch of material constants. This paper shows some applications of the BEM program to the analysis of dissimilar materials and interface cracks considering the residual stress quantitatively, and also shows the method to evaluate the strength of dissimilar materials based on the interfacial fracture mechanics. Some experimental results and the evaluation on the strength of dissimilar materials are also presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bogy, D. B. 1968: Edge bonded dissimilar orthogonal elastic media under normal and shear loadings. J. Appl. Mech. 35: 146–154
Bogy, D. B. 1971: Two edge bonded elastic wedges of different materials and wedge angles and surface tractions. J. Appl. Mech. 38: 327–386
Bogy, D. B. 1975: The plane solution for jointed dissimilar elastic semistrips under tension: J. Appl. Mech. 42: 93–98
Cominiou, M. 1977: The interface crack. J. Appl. Mech. 44: 631–636
Dunders, J. 1969: Discussion. J. Appl. Mech. 36: 650
England, A. H. 1965: A crack between dissimilar media. J. Appl. Mech. 32: 400–402
Hetenyi, M.; Dunders, J. 1962: The elastic plane with a circular insert loaded by a tangentially directed force. J. Appl. Mech. 29: 362–368
Kisu, H.; Yuuki, R.; Ura, A 1986: The usefulness of Mindlin's solution in three dimensional boundary Element abalysis. Trans. JSME A, 52–480: 1864–1871
Malyshev, B.; Salganik, K. 1965: The strength of adhesive joints using the theory of cracks. Int. J. Fracture Mech. 28: 114–119
Mindlin, R. D. 1936: Force at a point in the interior of a semi-infinite solid. Physics 7: 195–200
Rice, J. R.; Sih, G. C. 1965: Plane problems of cracks in dissimilar media. J. Appl. Mech. 32: 418–423
Rice, J. R. 1988: Elastic fracture mechanics concepts for interfacial cracks. J. Appl. Mech. 55: 98–104
Rizzo, F. J.; Shipy, D. J. A. 1970: A method for stress determination in plane anisotropic bodies. J. Comps. 4: 36–61
Sato, M.; Yuuki, R. 1988: Accurate numerical integrations of singular kernels in the two dimensional boundary element method. In: Brebbia, C. A. (ed.): Boundary element X, 1: 219–296. Springer
Sun, C. T.; Jih, C. J. 1987: On strain energy release rate for interfacial cracks in bi-material media. Engng. Fract. Mech. 28: 13–21
Wang, I. S.; Suo, Z. 1990: Experimental determination of interfacial toughness curves using Brazil-Nut-Sandwiches. Acta Metall. Mater. 38-7: 1279–1290
Yuuki, R.; Cao, G. Q. 1990: Accurate BEM elastostatic analysis for very slender body. Proc. Jap. Nat. Symp. on BEM, pp. 53–58
Yuuki, R.; Cho, S. B.; Matsumoto, T. 1987: Efficiency and application of Hetenyi's fundamental solution in 2-D elastostatic analysis. Trans. JSME A, 53–492: 1589
Yuuki, R.; Cho, S. B. 1989: Efficient boundary element analysis of stress intensity factors for interface cracks in dissimilar materials. Engng Fract. Mech. 34: 179–188
Yuuki, R.; Liu, J. Q.; Xu, J. Q.; Ohira, T.; Ono, T. 1992: Evaluation of fatigue strength of adhesive joints based on interfacial mechanics. J. The Society of Mater. Sci. Japan. 41–467: 1299–1304
Yuuki, R.; Liu, J. Q.; Xu, J. Q.; Ohira, T.; Ono, T. 1993: Fracture tests and evaluation of interface crack under mixed mode conditions. Trans. JSME A, 59–557: 74–80
Yuuki, R.; Tamaki, M. 1993: Learning and generation of BEM adaptive meshes by using neural network. Trans. JSME A, 59–558: 489–495
Yuuki, R.; Ueda, S.; Cao, G. Q. 1991a: Development of expert system for BEM analysis (1st report). Trans. JSME A, 57–533: 195–201
Yuuki, R.; Ueda, S.; Cao, G. Q. 1991b: Development of expert system for BEM analysis (2nd report), Trans. JSME A, 57–533: 202–203
Yuuki, R.; Xu, J. Q. 1990a: Boundary element elastostatic analysis of dissimilar materials joint and the interface crack by a personal computer. Trans. JSME A, 56–527: 1517–1523
Yuuki, R.; Xu, J. Q. 1990b: Fracture criteria on kinking of a crack out of the interface in dissimilar materials. Trans. JSME A, 56–529: 1945–1951
Yuuki, R.; Xu, J. Q. 1991a: Simple method to analyze the residual thermal stress of dissimilar material and some applications. Trans. JSME A, 57–536: 864–870
Yuuki, R.; Xu, J. Q. 1991b: Stress intensity factors for the interface crack between dissimilar orthotropic materials. Trans. JSME A, 57–539: 1542–1549
Yuuki, R.; Xu, J. Q. 1992a: Stress based criterion for an interface crack kinking out of the interface in dissimilar materials, Engng. Fract. Mech. 41–5: 635–644
Yuuki, R.; Xu, J. Q. 1992b: Three dimensional BEM analyses of dissimilar materials joints and interface crack. Trans. JSME A, 58–545: 39–47
Yuuki, R.; Xu, J. Q. 1992c: Logarithmic singularity on thermal or residual stress at the interface edge point of bonded dissimilar materials. Trans. JSME A, 58–556: 2394–2400
Author information
Authors and Affiliations
Additional information
Communicated by S. N. Atluri, 6 September 1993
Rights and permissions
About this article
Cite this article
Yuuki, R., Xu, J.Q. Boundary element analysis of dissimilar materials and interface crack. Computational Mechanics 14, 116–127 (1994). https://doi.org/10.1007/BF00350279
Issue Date:
DOI: https://doi.org/10.1007/BF00350279