Abstract
This chapter represents a collection of concepts and mathematical formulations that are employed to develop the theory of plates. In the subsequent chapters the equations introduced here will be reduced to the form used in the relevant version of the theory. The material outlined in this chapter refers to derivations and concepts that can be found in relevant references concerned with solid mechanics or theory of elasticity (some of these sources are referred to below). Accordingly, the goal is to both illustrate that the background of the theory of plates can be traced to the fundamental concepts of mechanics as well as to outline details of this background so that we can refer to them in the subsequent chapters, without the need in further justification or elucidation.
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Birman, V. (2010). Introduction and Basic Concepts. In: Plate Structures. Solid Mechanics and Its Applications, vol 178. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1715-2_1
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DOI: https://doi.org/10.1007/978-94-007-1715-2_1
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