Abstract
A review is provided of results on Saint-Venant decay lengths for self-equilibra ted edge loads in symmetric sandwich structures. In linear elasticity, Saint-Venant’s principle is used to show that self-equilibrated loads generate local stress effects that decay away from the loaded end of a structure. For homogeneous isotropic linear elastic materials this is well-documented. Self-equilibrated loads are a class of load distributions that are statically equivalent to zero, i.e., have zero resultant force and moment. When Saint-Venant’s principle is valid, pointwise boundary conditions can be replaced by more tractable resultant conditions. Saint-Venant’s principle is also the fundamental basis for static mechanical tests of material properties. It is shown in the present paper that material inhomogeneity and anisotropy significantly affect the practical application of Saint-Venant’s principle to sandwich structures.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Aboudi, J. (1987). Damage in composites-modeling of imperfect bonding. Composites Science and Technology 28, 103–128
Arimitsu, Y., Nishioka, K., and Senda, T. (1995). A study of Saint-Venant’s principle for composite materials by means of internal stress fields. Journal of Applied Mechanics 62, 53–58
Baxter, S.C. and Horgan, C.O. (1995). End effects for anti-plane shear deformations of sandwich structures. J. of Elasticity 40, 123–164
Baxter, S.C. and Horgan, C.O. (1997). Anti-plane shear deformations of anisotropic sandwich structures: end effects. Int. J. Solids Structures 34, 79–98
Benveniste, Y. (1984). On the effect of debonding on the overall behavior of composite materials. Mechanics of Materials 3, 349–358
Carlsson, L.A. and Pipes, R.B. (1987). Experimental Characterization of Advanced Composite Materials. Prentice-Hall, New Jersey.
Choi, I. and Horgan, C.O. (1977). Saint- Venant’s principle and end effects in anisotropic elasticity. Journal of Applied Mechanics 44, 424–430
Choi, I. and Horgan, C.O. (1978). Saint-Venant end effects for plane deformation of sandwich strips. Int. J. Solids Structures 14, 187–195
Crafter, E.C., Heise, R.M., Horgan, C.O., and Simmonds, J.G. (1993). The eigenvalues for a self-equilibrated semi-infinite, anisotropic elastic strip. Journal of Applied Mechanics 60, 276–281
Devries, F. (1993). Bounds on elastic moduli of unidirectional composites with imperfect bonding. Composites Engineering 3, 349–382
Gibson, R.F.(1994). Principles of Composite Material Mechanics. McGraw-Hill, New York.
Horgan, C.O. (1982). Saint-Venant end effects in composites. Journal of Composite Materials 16, 411–422
Horgan, C.O. and Knowles, J.K. (1983). Recent developments concerning Saint-Venant’s principle. Advances in Applied Mechanics (ed. J.W. Hutchinson and T.Y. Wu) 23, Academic Press, New York, pp. 179–269
Horgan, C.O. (1989). Recent developments concerning Saint- Venant’s principle: an update. Applied Mechanics Reviews 42, 295–303
Horgan, C.O. (1996). Recent developments concerning Saint-Venant’s principle: a second update. Applied Mechanics Reviews 48, S101-S111.
Horgan, C.O. and Simmonds, J.G. (1994). Saint-Venant end effects in composite structures. Composites Engineering 3, 279–286
Horgan, C.O. and Miller, K.L. (1994). Anti-plane shear deformations for homogeneous and inhomogeneous anisotropic linearly elastic solids. Journal of Applied Mechanics 61, 23–29
Horgan, C.O. (1995). Anti-plane shear deformations in linear and nonlinear solid mechanics. SIAM Review 37, 53–81
Miller, K.L. and Horgan, C.O. (1995a). End effects for plane deformations of an elastic anisotropic semi-infinite strip. Journal of Elasticity 38, 261–316
Miller, K.L. and Horgan, C.O. (1995b). Saint-Venant end effects for plane deformations of elastic composites. Mechanics of Composite Materials and Structures 2, 203–214
Tullini, N. and Savoia, M. (1997). Decay rate of Saint-Venant end effects for multilayered orthotropic strips. Int. J. Solids Structures (in press)
Tullini, N. Savoia, M. and Horgan C.O. (1997). End effects in multilayered orthotropic strips with imperfect bonding. Mechanics of Materials (in press)
Wijeyewickrema, A.C. and Keer, L.M. (1994). Axial decay of stresses in a layered composite with slipping interfaces. Composites Engineering 4, 895–899
Wijeyewickrema, A.C. (1995). Decay of stresses induced by self-equilibrated end loads in a multilayered composite. Int. J.Solids Structures 32, 515–523
Wijeyewickrema, A.C., Horgan, C.O. and Dundurs, J. (1996). Further analysis of end effects for plane deformations of sandwich strips. Int. J. Solids Structures 33, 4327–4336
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Horgan, C.O., Baxter, S.C. (1998). Saint-Venant’s Principle for Sandwich Structures. In: Vautrin, A. (eds) Mechanics of Sandwich Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9091-4_13
Download citation
DOI: https://doi.org/10.1007/978-94-015-9091-4_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5027-4
Online ISBN: 978-94-015-9091-4
eBook Packages: Springer Book Archive