Titlebook: Recent Developments in the Theory of Shells; Holm Altenbach,Jacek Chróścielewski,Krzysztof Wiśn Book 2019 Springer Nature Switzerland AG 2

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,A Beam—Just a Beam in Linear Plane Bending,ifferent orders of approximation is established. The first-order approximation coincides with the classical Euler-Bernoulli beam theory, whereas the second-order approximation delivers a Timoshenko-type of shear-deformable beam theory. Differences and implications are discussed.

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Subclasses of Mechanical Problems Arising from the Direct Approach for Homogeneous Plates, existing theories are derived. These are in-plane and out-of-plane loaded plate problems. Next to the in-plane loaded plate problem, we also distinguish between transverse shear-deformable and transverse shear-rigid out-of-plane loaded plates. Typical representatives are the plate theories by Kirchhoff, Reissner, and Mindlin.

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1869-8433 . In addition, they present other structural mechanics problems involving dimension-reduced models. Lastly, several applications are discussed, including material models for such dimension-reduced structures. .. .978-3-030-17749-2978-3-030-17747-8Series ISSN 1869-8433 Series E-ISSN 1869-8441

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1869-8433 the 80th birthday of Prof. W. Pietraszkiewicz.This book commemorates the 80th birthday of Prof. W. Pietraszkiewicz, a prominent specialist in the field of general shell theory. Reflecting Prof. Pietraszkiewicz’s focus, the respective papers address a range of current problems in the theory of shells

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Analytical Buckling Analysis of Cylindrical Shells with Elliptic Cross Section Subjected to Externais based on perturbation procedure. The mentioned buckling problem can be solved using FEM. However, FEM solutions may be less manageable, for instance, in terms of optimal design, than the associated approximate analytical models. The approximate formulas obtained are sufficiently accurate and can

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Subclasses of Mechanical Problems Arising from the Direct Approach for Homogeneous Plates,ies of plates. We introduce this theory axiomatically, delineate the basic ideas and formalize the governing equations. In doing so we present a self-contained set of equations for time-invariant problems. Thereof, subclasses of mechanical problems can be deduced, whereby in present context the main