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Engineers and researchers concerned with the problems of thin-walled structures have a choice of books on shell theory. However, the almost exclusive concern of these books are shells designed for maximum strength and stiffness. Shells which are designed for maximum elastic displacements (flexible shells) have been used in industry for decades, but are largely ignored in shell-theory books due to tradition and to the wide variety of shapes and problems involved.This book presents the general theory of elastic shells and the deformation inherent in flexibility. For the analysis of stabi

Shells (Engineering) --- Elastic plates and shells. --- Elastic shells --- Plates, Elastic --- Shells, Elastic --- Elastic waves --- Elasticity --- Plasticity --- Structural shells --- Elastic plates and shells --- Structural analysis (Engineering) --- Plates (Engineering)

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This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with pr

Elastic plates and shells. --- Vibration --- Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Elastic shells --- Plates, Elastic --- Shells, Elastic --- Elastic waves --- Elasticity --- Plasticity --- Mathematical models.

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The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love theory; the convergence of stress is also established. In the no

Elasticity. --- Elastic plates and shells. --- Élasticité --- Milieux continus, Mécanique des --- Elastic shells --- Plates, Elastic --- Shells, Elastic --- Elastic waves --- Elasticity --- Plasticity --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Properties --- Plaque

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This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

Elasticity --- Elasticité --- ELSEVIER-B EPUB-LIV-FT --- Elasticity. --- Mathematical physics. --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Properties --- Elastic plates and shells. --- Elastic shells --- Plates, Elastic --- Shells, Elastic --- Elastic waves --- Plasticity --- Mécanique --- Mécanique --- Elasticite non-lineaire --- Methode variationnelle

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The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems: • comprehensive review of the most popular theories of plates and shells, • relations between three-dimensional theories and two-dimensional ones, • presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories), • modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc., • applications in modeling of non-classical objects like, for example, nanostructures, • presentation of actual numerical tools based on the finite element approach.

Structural mechanics. --- Structural Mechanics. --- Civil Engineering. --- Plates (Engineering) --- Disks (Mechanics) --- Panels --- Structural plates --- Elastic shells --- Plates, Elastic --- Shells, Elastic --- Structural shells --- Engineering. --- Continuum mechanics. --- Civil engineering. --- Continuum Mechanics and Mechanics of Materials. --- Shells (Engineering) --- Elastic plates and shells. --- Elastic plates and shells --- Structural analysis (Engineering) --- Elastic waves --- Elasticity --- Plasticity --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Engineering --- Public works --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics