Green's functions are generated for a simply supported, shear deformable, beam under concentrated loads and moments. These functions are subsequently employed to evaluate the stress transfer mechanisms within an adhesively joined composite beam, with particular attention to the stress field within the adhesive bond line. It is shown that the stacking order of the composite beam affects the sign of the peel stresses, switching from tensile to compressive. The results, which are obtained by solving a system of linear algebraic equations, are in good agreement with the more cumbersome finite element solutions.
Get full access to this article
View all access options for this article.
References
1.
1. ABAQUS, Version 5.7, Hibbit, Karlsson and Sorensen Inc.1994.
2.
2. Bogy, D. B.1971. "Two Edge-Bonded Elastic Wedge of Different Materials and Wedge Angles Under Traction,"J. App. Mech., ASME, Vol. 38(2):377-386.
3.
3. Dym, C. C. and Shames, I. H.1973. "Solid Mechanics, A Variational Approach," pp. 147-149, McGraw-Hill Inc.
4.
4. Frostig, Y.1993. "On Stress Concentration in the Bending of Sandwich Beams with Transversly Flexible Core,"Composite Structures, 24:161-169.
5.
5. Oden, J. T.1967. "Mechanics of Elastic Structures," pp. 149-149, 329-335, McGraw-Hill Inc.
6.
6. Press, W. H., Teukolsky, S. A., Vellering, W. T. and Flannery, B. P.1993. "Numerical Recipes in FORTRAN,"Cambridge University Press.
7.
7. Washizu, K.1975. "Variational Methods in Elasticity and Plasticity," pp. 147-148, Second Edition, Pergamon Press.
8.
8. Yuceoglu, U. and Updike, D. P.1981. "Comparison of Continuum Mechanical and Spring Models of Adhesive Layers in Bonded Joints," In "Advances in Aerospace Structures and Materials"S. S. Wang and W. J. Renton, Editors, ASME Publication AD-01, American Society of Mechanical Engineers.
