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Abstract

The problem discussed in this paper is that of an elastic plate of constant thickness subject to arbitrary loading of the two lateral surfaces. The plate material is anisotropic and inhomogeneous in the through-thickness direction. The form of anisotropy considered is transverse isotropy, with the preferred direction parallel to the plane of the plate but varying through the plate thickness. This model includes the case of a material reinforced by fibres arranged at different angles according to depth within the plate. In particular it allows the special case of a laminated plate comprised of transversely isotropic laminae of varying orientations, so that the angle Φ that specifies the orientation is a piecewise constant function of the through-thickness coordinate.

Died, 15 July 1993.

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Dedicated to Paul M. Naghdi on the occasion of his 70th birthday

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© 1995 Birkhäuser Verlag Basel/Switzerland

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Spencer, A.J.M., Watson, P., Rogers, T.G. (1995). Stress and deformation in moderately anisotropic inhomogeneous elastic plates. In: Casey, J., Crochet, M.J. (eds) Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9229-2_13

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  • DOI: https://doi.org/10.1007/978-3-0348-9229-2_13

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9954-3

  • Online ISBN: 978-3-0348-9229-2

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