Abstract
This paper gives an asymptotic analysis of the elastic stress singularity at the junction of three dissimilar materials. For simplicity, the anti-plane mode of deformation is considered. The analysis can be used to address the influence of the geometry of the junction and the material properties on the strength of the singularity.
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Atkinson, C., Bastero, J.M. and Martinez-Esnaola, J.M. (1988). Stress analysis in sharp angular notches using auxiliary fields. Engineering Fracture Mechanics 31, 637-646.
Liu, X.H., Suo, Z. and Ma, Q. (1999). Split singularities: Stress field near the edge of a silicon die on a polymer substrate. Acta Materialia 47, 67-76.
Martinez-Esnaola, J.M., Bastero, J.M. and Miranda, 1. (1987). The use of global-local functions of blended type for computer simulation of dynamic crack propagation with thermal loading. Generation and prediction studies. Engineering Fracture Mechanics 28, 387-401.
Madenci, E., Shkarayev, S. and Sergeev, B. (1998). Thermo-mechanical stresses for a triple junction of dissimilar materials: Global-local finite element analysis. Theoretical and Applied Fracture Mechanics 30,103-117.
Qian, Z.Q. and Àkisanya, A.R. (1999). Wedge corner stress behaviour of bonded dissimilar materials. Theoretical and Applied Fracture Mechanics 32, 209-222.
Ru, C.Q. (1997). Finite deformations at the vertex of a bi-material wedge. International Journal of Fracture 84,325-350.
Savruk, M.P., Shkarayev, S. and Madenci, E. (1999). Stress near apex of dissimilar material with bilinear behavior. Theoretical and Applied Fracture Mechanics 31, 203-212.
Tan, M.A. and Meguid, S.A. (1997). Analysis of bimaterial wedges using a new singular finite element. International Journal of Fracture 88, 373-391.
Zhang, N. and Joseph, P.F. (1998). A nonlinear finite element eigenanalysis of singular stress fields in bimaterial wedges for plane strain. International Journal of Fracture 94, 299-319.
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Martínez-Esnaola, J. Stress Singularity at the Junction of Three Dissimilar Materials. International Journal of Fracture 113, 33–37 (2002). https://doi.org/10.1023/A:1022608828428
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DOI: https://doi.org/10.1023/A:1022608828428