Stress Distribution at the Interface Corner of a Tri-Material Structure
Publication: Journal of Engineering Mechanics
Volume 127, Issue 8
Abstract
The stress distribution at the interface corner between three elastic materials subjected to a uniform change in temperature is examined. A closed-form solution of the stresses near the interface corner is presented. All the parameters in the solution can be determined analytically with the exception of one—the intensity factors of the stress singularity. A method for determining the magnitude of the intensity factors associated with both the dominant singular and the higher-order terms is described. Asymptotic stress results are presented for an asphaltic plug joint used in highway bridges, where the bonding of the plug, bridge deck, and the pavement form an interface corner. It is found here that the effects of small fluctuations in temperature on the magnitude of the stresses are more severe at an interface corner than at the intersection of an interface with a traction-free surface. The implications of the results for the initiation of failure in asphaltic plug joints are discussed.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
ABAQUS user's manual: version 5.7. (1999). Hibbitt Karlsson and Sorenson Inc., Pawtucket, R.I.
2.
Akisanya, A. R., and Fleck, N. A. ( 1997). “Interfacial cracking from the free-edge of a long bi-material strip.” Int. J. Solids and Struct., 34(13), 1645–1665.
3.
Barnard, C. P., and Cuninghame, J. R. ( 1998). “Improving the performance of bridge expansion joints: Bridge-deck expansion joint working group final report.” Transp. Res. Lab. Rep. 236, Crowthorne, U.K.
4.
Bogy, D. B. ( 1971). “Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions.” J. Appl. Mech., 38(2), 377–386.
5.
Carpenter, W. C. ( 1995). “Insensitivity of the reciprocal work contour integral method to higher order eigenvectors.” Int. J. Fracture, 73(2), 93–108.
6.
Carpenter, W. C., and Byers, C. ( 1987). “A path independent integral for computing stress intensities for V-notched cracks in a bi-material.” Int. J. Fracture, 35(4), 245–268.
7.
Chen, H.-P. ( 1998). “Stress singularities in anisotropic multi-material wedges and junctions.” Int. J. Solids and Struct., 35(11), 1057–1073.
8.
Cheung, C. Y. ( 1995). “Mechanical behavior of bitumens and bituminous mixes.” PhD thesis, Cambridge University, Cambridge, U.K.
9.
Deshpande, V. S. ( 1997). “Steady-state deformation behaviour of bituminous mixes.” PhD thesis, Cambridge University, Cambridge, U.K.
10.
Dundurs, J. ( 1969). Mathematical theory of dislocations, ASME, New York.
11.
Kim, J. R., Drescher, A., and Newcomb, D. E. (1997). “Rate sensitivity of asphalt concrete in triaxial compression.”J. Mat. in Civ. Engrg., ASCE, 9(2), 76–84.
12.
Kim, K. W., and Hussein, H. M. ( 1995). “Effect of differential thermal contraction on fracture toughness of asphaltic materials at low temperatures.” Proc., Assn. Asphalt Paving Technologists, 64, 475–499.
13.
Neville, A. M. ( 1975). Properties of concrete, Pitman Publishing, Ltd., London.
14.
Qian, Z. Q., and Akisanya, A. R. ( 1998). “Analysis of free-edge stress and displacement fields in scarf joints subjected to uniform change in temperature.” Fat and Fracture Engrg. Mat. and Struct., 21(6), 687–703.
15.
Qian, Z. Q., and Akisanya, A. R. ( 1999). “Wedge corner stress behaviour of bonded dissimilar materials.” Theoretical Appl. Fracture Mech., 32(3), 209–222.
16.
Qian, Z. Q., Akisanya, A. R., and Imbabi, M. S. ( 2000a). “Effects of geometry on the deformation of asphaltic plug joints subjected to surface tractions.” J. Strain Analysis for Engrg. Des., 35(5), 403–413.
17.
Qian, Z. Q., Akisanya, A. R., and Imbabi, M. S. ( 2000b). “Edge effects in the failure of elastic/viscoelastic joints subjected to surface tractions.” Int. J. Solids and Struct., 37(41), 5973–5994.
18.
Reedy, E. D. ( 1993). “Asymptotic interface-corner solutions for butt tensile joints.” Int. J. Solids and Struct., 30(6), 767–777.
19.
Sinclair, G. B., Okajima, M., and Griffin, J. H. ( 1984). “Path independent integral for computing stress intensity factors at sharp notches in elastic plates.” Int. J. Numer. Methods in Engrg., 20(6), 999–1008.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 127 • Issue 8 • August 2001
Pages: 747 - 753
History
Received: Aug 7, 2000
Published online: Aug 1, 2001
Published in print: Aug 2001
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.