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Example Problems

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Composite Mechanics

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 184))

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Abstract

This chapter presents the solution of some standard calculation problems based on the classical laminate theory. Each solution is based on a step-by-step approach in order to present all the details of the solution procedure. The presented problems comprise the calculation of stresses and strains in symmetric and asymmetric laminates, the application of failure criteria, and the ply-by-ply failure of laminates. In addition, the characterization of basic properties of unidirectional laminae based on pole diagrams for the elastic properties and failure envelopes is presented.

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Notes

  1. 1.

    A prepreg is a ready to mold or cure sheet which may be tow, tape, cloth, or mat impregnated with resin (MIL-HDBK-17/1F 2002).

  2. 2.

    It should be noted here that some textbooks present the right-hand sides of Eqs. (5.111) and  (5.113) in a slightly different manner by considering \(E_x \rightarrow E_{ 1}\), \(E_y \rightarrow E_{ 2}\) or \(E_x, E_y \rightarrow E_{ 1}\) see Altenbach et al. (2018) and Kaw (2006).

References

  • Altenbach H, Altenbach J, Kissing W (2018) Mechanics of composite structural elements. Springer, Singapore

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  • Buryachenko VA (2007) Micromechanics of heterogeneous materials. Springer, New York

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  • Dvorak GJ (2013) Micromechanics of composite materials. Springer, New York

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  • Herakovich CT (2012) Mechanics of composites: a historical review. Mech Res Commun 41:1–20

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  • Kaw AK (2006) Mechanics of composite materials. CRC Press, Boca Raton

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  • MIL-HDBK-17/1F (2002) Composite materials handbook—volume 1. Polymer matrix composites guidelines for characterization of structural materials. Department of Defence, USA

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  • Soden PD, Hinton MJ, Kaddour AS (1998) Lamina properties, lay-up configurations and loading conditions for a range of fibre-reinforced composite laminates. Compos Sci Technol 58:1011–1022

    Article  Google Scholar 

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Esslingen University Applied Sciences, Esslingen am Neckar, Baden-Württemberg, Germany

    Andreas Öchsner

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  1. Andreas Öchsner
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Correspondence to Andreas Öchsner .

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© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Öchsner, A. (2023). Example Problems. In: Composite Mechanics. Advanced Structured Materials, vol 184. Springer, Cham. https://doi.org/10.1007/978-3-031-32390-4_5

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