Interface Behavior of a Bimaterial Plate under Dynamic Loading
Publication: Journal of Engineering Mechanics
Volume 136, Issue 10
Abstract
The paper deals with interface behavior of bimaterial ceramic-metal composites under dynamic time-harmonic load. The first plate is precracked with a normal crack touching the interface between the plates. It is assumed that the respective restriction for the ratio of energy release rates of the plates allowing the occurrence of an interface single delamination before the initiation of the normal crack in the second plate is satisfied. The growth of interface delamination is not considered. The used approximate shear-lag dynamic approach gives a possibility to obtain solutions in a closed form for axial and shear stresses of the structure. At an elastic-brittle interface behavior theoretical predictions for single debond length of two bimaterial structures are calculated. The parametric analysis reveals the sensitivity of the interface single debond length and shear stress to the type of bimaterial structure and to the characteristics of the dynamic load—in particular its frequency and amplitude. All results are illustrated in figures and tables and are discussed.
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References
Beuth, J. L., Jr. (1992). “Cracking of thin films in thin bonded films in residual tension.” Int. J. Solids Struct., 29(13), 1567–1675.
Beuth, J. L., and Klingbeil, N. W. (1996). “Cracking of thin films bonded to elastic-plastic substrates.” J. Mech. Phys. Solids, 44(9), 1411–1428.
Chen, B., and Chou, T. -W. (1997). “The propagation of one-dimensional transient elastic waves in woven-fabric composites.” Compos. Sci. Technol., 58, 1385–1396.
Chen, B., and Chou, T. -W. (2000). “Local elastodynamic stresses in the unit cell of a woven fabric composite.” Arch. Appl. Mech., 70, 423–442.
Choi, H. C., and Kim, K. S. (1992). “Analysis of the spontaneous interfacial decohesion of a thin surface film.” J. Mech. Phys. Solids, 40(1), 75–103.
Cook, T. S., and Erdogan, F. (1973). “Stresses in bonded materials with a crack going through the interface.” Int. J. Eng. Sci., 11, 745–766.
Cox, L. H. (1952). “The elasticity and strength of paper and other fibrous materials.” Br. J. Appl. Phys., 3, 72–79.
Dowling, P. J., and Burgan, B. A. (1990). “Shear lag in steel and composite structures.” Composite steel structures: Advances, design and construction, R. Narayanan, ed., Spon Press, 1–23.
Hedgepeth, J. M. (1961). “Stress concentrations in filamentary structures.” NASA TN D-882.
Hutchinson, J. W., and Suo, Z. (1991). “Mixed mode cracking in layered materials.” Adv. Appl. Mech., 29, 63–191.
Ivanova, J., Valeva, V., and Mroz, Z. (2006). “Mechanical modelling of the delamination of bi-material plate structure.” J. Theor. Appl. Mech., Sofia, 36(4), 39–54.
Kulkarni, S. V., Rosen, B. W., and Zweben, C. (1973). “Load concentration factors for circular holes in composite laminates.” J. Compos. Mater., 7, 387–393.
Lemaitre, J., Desmorat, R., Vidonne, M. P., and Zhang, P. (1996). “Reinitiation of a crack reaching an interface.” Int. J. Fract., 80, 257–276.
Li, Y. L., Ruiz, C., and Harding, J. (1991). “Stress wave propagation in hybrid composite materials.” J. Reinf. Plast. Compos., 10(4), 400–422.
Ming-Yuan, H., and Hutchinson, J. W. (1989). “Crack deflection of an interface between dissimilar elastic materials.” Int. J. Solids Struct., 25, 1053–1067.
Nairn, J. A. (1988a). “Fracture mechanics of unidirectional composites using the shear-lag model I: Theory.” J. Compos. Mater., 22, 561–588.
Nairn, J. A. (1988b). “Fracture mechanics of unidirectional composites using the shear-lag model II: Experiment.” J. Compos. Mater., 22, 589–600.
Nairn, J. A., Liu, S., Chen, H., and Wedgewood, A. R. (1990). “Longitudinal splitting in epoxy and -polymer composites: Shear-lag analysis including the effect of fiber bridging.” J. Compos. Mater., 25, 1086–1107.
Nikolova, G. (2008). “Thermo-mechanical behaviour of thin graded layered structures.” Ph.D. thesis, Institute of Mechanics, BAS, Sofia, Bulgaria.
Nikolova, G., and Ivanova, J. (2009). “Cracked biomaterial plates under thermomechanical loading.” Key material series, Proc., Fractography of Advanced Ceramics III, Vol. 409, Trans Tech Publications Ltd., 406–413.
Nikolova, G., Ivanova, J., Valeva, V., and Mroz, Z. (2007). “Mechanical and thermal loading of two-plate structure.” Comptes Rendus de l'Academie Bulgare des Sciences, 60(7), 735–741.
Phoenix, S. L., and Beyerlein, I. J. (2000). “Statistical strength theory for fibrous composite materials.” Fiber reinforcements and general theory of composites, Comprehensive composite materials, Vol. 1, T. W. Chou, A. Kelly, and C. Zweben, eds., Elsevier Science, New York, 559.
Rizk, A., and Erdogan, F. (1989). “Cracking of coated materials under transient thermal stresses.” J. Therm. Stresses, 12, 125–168.
Song, G. M., Sloof, W. G., Pei, Y. T., and De Hosson, J. Th. M. (2006). “Interface behaviour of zinc coating on steel: Experiments and finite element calculations.” Surf. Coat. Technol., 201, 4311–4316.
Sridhar, N., Massabo, R., Cox, B. N., and Beyerleinm, I. J. (2002). “Delamination dynamic in through-thickness reinforced laminates with application to DCB specimen.” Int. J. Fract., 118, 119–144.
Varias, A. G., Mastorakos, I., and Aifantis, E. C. (1999). “Numerical simulation of interface cracks in thin films.” Int. J. Fract., 98, 195–207.
Wei, Y. G., and Hutchinson, J. W. (1997). “Nonlinear delamination mechanics for thin films.” J. Mech. Phys. Solids, 45(7), 1137–1159.
Ye, T., Suo, Z., and Evans, A. G. (1992). “Thin film cracking and the roles of substrate and interface.” Int. J. Solids Struct., 29, 2639–2648.
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© 2010 ASCE.
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Received: Jun 25, 2009
Accepted: Feb 25, 2010
Published online: Feb 27, 2010
Published in print: Oct 2010
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