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Compatibility of large deformations in nonlinear shell theory

✍ Scribed by Aziz Hamdouni; Khalid Elamri; Claude Vallée; Olivier Millet

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
580 KB
Volume
17
Category
Article
ISSN
0997-7538

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✦ Synopsis

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 part of the derivative of R by a new variable A. Then the compatibility equations are decomposed in a natural way into a first-order differential system. The use of A greatly simplifies the differential calculus and gives an intrinsic and explicit formulation for compatibility conditions in nonlinear shell theory. 0 Elsevier, Paris compatibility equations / shell theory I large deformations

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Deformational boundary quantities in the
Deformational boundary quantities in the nonlinear theory of shells with transverse shears
✍ W. Pietraszkiewicz 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 791 KB

A thorough analysis is presented of the non linear deformation of the shell lateral boundary surface. The deformation is compatible with the linear distribution of displacements across the shell thickness. It is found that the total rotation of the boundary element can be defined in two ways, by mea