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2021 | OriginalPaper | Chapter

14. Coupled Stretching-Bending Analysis

Author : Chyanbin Hwu

Published in: Anisotropic Elasticity with Matlab

Publisher: Springer International Publishing

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Abstract

If the laminates are unsymmetric they will be stretched as well as bent even under pure in-plane forces or pure bending moments. To study the mechanical behavior of thin laminated plates, the coupled stretching-bending theory of laminates was developed. Since this theory considers linear variation of displacements across the thickness direction, by separating the thickness dependence it has been shown that the general solutions can be obtained through the complex variable formalism. In this chapter, the counterpart of Stroh formalism generally called Stroh-like formalism introduced in Sect. 2.​3 is employed to deal with the problems of coupled stretching-bending analysis such as holes/cracks/inclusions in laminates under uniform stretching and bending moments, under uniform heat flow, and their associated Green’s functions.

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Literature
go back to reference Hsieh, M.C., and C. Hwu. 2006. Hygrothermal stresses in unsymmetric laminates disturbed by Elliptical Holes. ASME Journal of Applied Mechanics 73: 228–239. Hsieh, M.C., and C. Hwu. 2006. Hygrothermal stresses in unsymmetric laminates disturbed by Elliptical Holes. ASME Journal of Applied Mechanics 73: 228–239.
go back to reference Hsu, C.W., and C. Hwu. 2020. Green’s functions for unsymmetric composite laminates with inclusions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 476: 20190437. Hsu, C.W., and C. Hwu. 2020. Green’s functions for unsymmetric composite laminates with inclusions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 476: 20190437.
go back to reference Hsu, C.W., and C. Hwu. 2021. Correction of the existing solutions for hole/crack problems of composite laminates under coupled stretching-bending deformation. Composite Structures, 260: 113154. Hsu, C.W., and C. Hwu. 2021. Correction of the existing solutions for hole/crack problems of composite laminates under coupled stretching-bending deformation. Composite Structures, 260: 113154.
go back to reference Hwu, C. 2003. Stroh-like formalism for the coupled stretching-bending analysis for composite laminates. International Journal of Solids and Structures 40: 3681–3705. Hwu, C. 2003. Stroh-like formalism for the coupled stretching-bending analysis for composite laminates. International Journal of Solids and Structures 40: 3681–3705.
go back to reference Hwu, C. 2005. Green’s functions for holes/cracks in laminates with stretching-bending coupling. ASME Journal of Applied Mechanics 72: 282–289. Hwu, C. 2005. Green’s functions for holes/cracks in laminates with stretching-bending coupling. ASME Journal of Applied Mechanics 72: 282–289.
go back to reference Hwu, C., and C.Z. Tan. 2007. In-plane/out-of-plane concentrated forces and moments on composite laminates with elliptical elastic inclusions. International Journal of Solids and Structures 44: 6584–6606. Hwu, C., and C.Z. Tan. 2007. In-plane/out-of-plane concentrated forces and moments on composite laminates with elliptical elastic inclusions. International Journal of Solids and Structures 44: 6584–6606.
go back to reference Hwu, C. 2010a. Anisotropic elastic plates. New York: Springer. Hwu, C. 2010a. Anisotropic elastic plates. New York: Springer.
go back to reference Hwu, C. 2010b. Some explicit expressions of Stroh-like formalism for coupled stretching-bending analysis. International Journal of Solids and Structures 47: 526–536. Hwu, C. 2010b. Some explicit expressions of Stroh-like formalism for coupled stretching-bending analysis. International Journal of Solids and Structures 47: 526–536.
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Metadata
Title
Coupled Stretching-Bending Analysis
Author
Chyanbin Hwu
Copyright Year
2021
DOI
https://doi.org/10.1007/978-3-030-66676-7_14

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