Three‐Dimensional Solutions for Thermomechanical Stresses in Sandwich Panels and Shells
Publication: Journal of Engineering Mechanics
Volume 120, Issue 10
Abstract
Analytic three‐dimensional thermoelasticity solutions are presented for static problems of simply supported sandwich panels and cylindrical shells subjected to mechanical and thermal loads. The panels and shells have laminated composite face sheets of arbitrary thickness separated by a core. Each of the individual layers of the face sheets and the core is modeled as a three‐dimensional continuum. Analytic first‐order sensitivity coefficients are evaluated to assess the sensitivity of the responses to variations in material parameters of the face sheets and the core, as well as to variations in the curvatures and thicknesses of the sandwich and face sheets. Also, the strain energy associated with various stress components in the face sheets and core are calculated and compared. The information obtained in the present study can aid the development and assessment of two‐dimensional models for sandwich structures and illuminate the role of particular material parameters in an equivalent model for the core.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Allen, H. G. (1969). Analysis and design of structural sandwich panels. Pergamon Press, Oxford, England.
2.
Bhimaraddi, A. (1993). “Three‐dimensional elasticity solution for static response of orthotropic doubly curved shallow shells in rectangular planform.” Composite Struct., 24(1), 67–77.
3.
Bhimaraddi, A., and Chandrashekhara, K. (1992). “Three‐dimensional elasticity solution for static response of simply supported cylindrical shells.” Composite Struct., 20(4), 227–235.
4.
Boresi, A. P., and Chong, K. P. (1987). Elasticity in engineering mechanics. Elsevier, New York, N.Y.
5.
Chamis, C. C., Aiello, R. A., and Murthy, P. L. N. (1988). “Fiber composite sandwich thermostructural behavior: computational simulation.” J. Composites Technol. and Res., 10(3), 93–99.
6.
Gibson, L. J., and Ashby, M. F. (1988). Cellular solids, structure and properties. Pergamon Press, Oxford, England.
7.
Grediac, M. (1993). “A finite element study of the transverse shear in honeycomb cores.” Int. J. Solids Struct., 30(13), 1777–1788.
8.
Habip, L. M. (1964). “A review of recent Russian work on sandwich construction.” Int. J. Mech. Sci., 6(6), 483–487.
9.
Habip, L. M. (1965). “A survey of modern developments in the analysis of sandwich structures.” Appl. Mech. Revs., 18(2), 93–98.
10.
Hodges, J., Darby, M. I., and Yates, B. (1985). “Thermal expansion of CFRP/aluminium/CFRP composite spherical shells.” High Temperature‐High Pressures, Vol. 17, 325–331.
11.
Huang, N. N., and Tauchert, T. R. (1991). “Thermoelastic solution for cross‐ply cylindrical panels.” J. Thermal Stresses, 14, 227–237.
12.
Huang, N. N., and Tauchert, T. R. (1992). “Thermal stresses in doubly‐curved cross‐ply laminates.” Int. J. Solids and Struct., 29(8), 991–1000.
13.
Ko, W. L., and Jackson, R. H. (1991). “Combined‐load buckling behavior of metal‐matrix composite sandwich panels under different thermal environments.” NASA TM‐4321 NASA, Washington, D.C.
14.
Lekhnitskii, S. G. (1981). Theory of elasticity of an anisotropic body. Mir Publishers, Moscow, USSR.
15.
Noor, A. K., and Burton, W. S. (1990). “Assessment of computational models for multilayered composite shells.” Appl. Mech. Rev., 43(4), 67–97.
16.
Noor, A. K., and Burton, W. S. (1992a). “Computational models for high‐temperature multilayered composite plates and shells.” Appl. Mech. Rev., 45(10), 429–445.
17.
Noor, A. K., Burton, W. S., and Peters, J. M. (1994a). “Hierarchical adaptive modeling of structural sandwiches and multilayer composite plates.” Appl. Numerical Mathematics, 14, 69–90.
18.
Noor, A. K., Peters, J. M., and Burton, W. S. (1994b). “Three‐dimensional solutions for initially stressed structural sandwiches.” J. Engrg. Mech., ASCE, 120(2), 284–303.
19.
Pagano, N. J. (1970). “Exact solutions for rectangular bidirectional composites and sandwich plates.” J. Composite Mat., 20–34.
20.
Pandya, B. N., and Kant, T. (1988). “Higher‐order shear deformable theories for flexure of sandwich plates—finite element evaluations.” Int. J. Solids Struct., 24(12), 1267–1286.
21.
Plantema, F. J. (1966). Sandwich construction; The bending and buckling of sandwich beams, plates and shells. John Wiley, New York, N.Y.
22.
Reddy, J. N. (1987). “A Generalization of two‐dimensional theories of laminated composite plates.” Commun. Appl. Num. Methods, 3, 173–180.
23.
Reddy, J. N. (1989). “On the generalization of displacement‐based laminate theories.” Appl. Mech. Rev., 42(11; part 2), S213–S222.
24.
Reddy, J. N. (1990). “A review of refined theories of laminated composite plates.” Shock Vib. Dig., 22, 3–17.
25.
Srinivas, S., and Rao, A. K. (1970). “Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates.” Int. J. Solids Struct., 6, 1464–1481.
26.
Srinivas, S. (1974). “Analysis of laminated, composite, circular cylindrical shells with general boundary conditions.” NASA TR‐R‐412, NASA, Washington, D.C.
27.
Weinstein, F., Putter, S., and Stavsky, Y. (1983). “Thermoelastic stress analysis of anisotropic composite sandwich plates by finite element method.” Comput. Struct., 17(1), 31–36.
Information & Authors
Information
Published In
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Aug 6, 1993
Published online: Oct 1, 1994
Published in print: Oct 1994
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.