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Titlebook: IUTAM Symposium on Relations of Shell, Plate, Beam and 3D Models; Proceedings of the I George Jaiani,Paolo Podio-Guidugli Conference procee

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,A Small-Parameter Method for I. Vekua’s Nonlinear and Nonshallow Shells,In the present paper the system of differential equations for the nonlinear theory of non-shallow shells is obtained. Some basic boundary value problems are solved.
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1875-3507 ain topics reflecting the scientific programme of the symposium: hierarchical, refined mathematical and technical models of shells, plates, and beams; relation of 2D and 1D models to 3D linear, non-linear and physical models; junction problems. In particular, peculiarities of cusped shells, plates,
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The Extension and Application of the Hierarchical Beam Theory to Piezoelectrically Actuated Beams, of this paper. The through-the-thickness stress and strain distributions, and the displacement moments are calculated and observed to be comparable to the corresponding values obtained from two-dimensional finite element analyses with the commercial finite element software ANSYS.
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Stability of a Rectangular Plate Capable of Transverse Shear Deformations,ad is the same as the critical load for cylindrical buckling, calculated by means of Kirchhoff’s theory. In the second case, the buckling load may be refined twice or more, with respect to the Kirchhoff’s theory. The refinement term depends on geometry of the plate.
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The Contact Problems of the Mathematical Theory of Elasticity for Plates with an Elastic Inclusion,ent and singular operator. If such coefficient varies according to power law, we investigate the obtained equations and get exact or approximate solutions and study behavior of unknown contact stresses at the ends of the elastic inclusion.
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