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The equations of compatibility of deformations

✍ Scribed by N.M. Borodachev


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
177 KB
Volume
65
Category
Article
ISSN
0021-8928

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The number of independent compatibility equations in terms of stresses, involved in formulating the basic problem in the mechanics of deformable solids in terms of stresses in Nn, is the same as the number of Saint-Venant compatibility equations in R ~ and the number of independent components of the

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In this paper, we propose to establish compatibility conditions satisfied by the membrane strain tensor A and the curvature strain tensor K of a shell midsurface. To this end, we use the polar decomposition RU of the linear tangent map of a mapping function 4. Fit, we characterize the tangential par