Abstract
It is not my aim to develop a general theory of plane elasticity. In this field, with reference to the linear case, there is a very large number of papers, while elasticity texts generally reserve many chapters for plane elasticity.
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References
However, the stress corresponding to a biharmonic function H may be a good approximation in the case of thin plates [Timoshenko and Goodier, p. 241].
In regard to the possible expansion of u i , ω in series of the type (*) in footnote 1, p. 130, see Grioli [2].
For results regarding plane dislocations of a region bounded by two concentric circles, see Timpe.
Clearly, such definitions represent a generalisation of those used in V. Volterra’s papers in the case of a region bounded by two concentric circles. That is, the dislocation corresponds to a uniform fissure if the corresponding displacement is a translation, a radial fissure if it is a rotation.
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© 1962 Springer-Verlag OHG, Berlin · Göttingen · Heidelberg
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Grioli, G. (1962). Plane Elasticity. In: Mathematical Theory of Elastic Equilibrium. Ergebnisse der Angewandten Mathematik, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87432-1_8
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DOI: https://doi.org/10.1007/978-3-642-87432-1_8
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