Abstract
In this chapter the three-dimensional theory of continuum mechanics is briefly reviewed. For three-dimensional problems, independent displacements u(x, y, z), v(x, y, z) and w(x, y, z) are needed and all components of the strain tensor can be derived from the displacements. If a structure has one dimension which is very much smaller than its other dimensions, then it is possible to obtain a specialised two-dimensional version of the three-dimensional theory, that is, the geometry and deformation of the structure can be described by some variables in a certain surface.
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References
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© 1989 Springer-Verlag Berlin Heidelberg
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Huang, HC. (1989). Degenerations of Three-Dimensional Theory. In: Static and Dynamic Analyses of Plates and Shells. Springer, London. https://doi.org/10.1007/978-1-4471-1669-1_2
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DOI: https://doi.org/10.1007/978-1-4471-1669-1_2
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1671-4
Online ISBN: 978-1-4471-1669-1
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