Theories of Plates and Shells
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Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.
The theory of simple elastic shells1Geometric boundary layers in shells with mixed type13FEM and time stepping procedures in non-linear dynamics of flexible branched shell structures21Dynamic stiffness vibration analysis for higher order plate models29Anisotropic thermo-creep-damage in 3D thick plate vs. Reissner's approach39On a fast method for buckling load calculations of incomplete ribbed shells45Adaptive wavelet-algorithms for inelastic shells53On the effect of transverse core compressibility on the buckling of sandwich shells61Drape simulation of flexible structures69Universal dynamic theory of shells77On consistent second-order plate theories852-D model of stressed plate derived from the 3-D elasticity theory model97Thickness flexible theory with generalized core warping for plane sandwich structures107On the finite element analysis of layered structures with thin piezoelectric actuators and sensors117Free waves in incoherent slabs125Inelastic behaviour of stepped square plates133An assessment of classical and refined plate theories derived from the principle of virtual displacements141Stochastic finite element analysis of plates : theory and application149On nonlinear theory of rigid-flexible shells without the Kirchhoff hypotheses157Shell and solid type finite element analysis of creep in thin-walled structures165An asymptotic model for long-wave symmetric motion of a pre-stressed incompressible plate with fixed faces177Construction of the theory of piezoelectric shells and plates185Boundary layers near the reflected and transmitted dilatational wave fronts in a composite cylindrical shell193On some interior and boundary effects in thin plates based on the asymmetric theory of elasticity201On the numerical simulation of thin textile reinforced concrete layers for the strengthening of shell structures using a surface-related shell theory211Refined wave theories of plates and shells219On dynamics of thin plates with a periodic structure225Critical review of the contemporary state of the theory and design methods of ribbed plates and shells233
