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Title Shell-like structures : non-classical theories and applications / Holm Altenbach, Victor A. Eremeyev, editors
Published Heidelberg ; New York : Springer-Verlag Berlin Heidelberg, ©2011

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Description 1 online resource (xi, 750 pages) : illustrations (some color)
Series Advanced structured materials, 1869-8433 ; v. 15
Advanced structured materials ; v. 15.
Contents Shell-like Structures; Preface; Contents; Mathematical Problems; 1Nonclassical Spatial Boundary Value Problemsof Statics and Dynamics of Shellsand the Asymptotic Method of Their Solution; 1.1 Introduction; 1.2 Second and Mixed Static Boundary Value Problem of Anisotropic Thermoelastic Shells; 1.3 Solutions of Illustrative Problems; References; 2 Analytical Solution for the Bending of a Plateon a Functionally Graded Layer of ComplexStructure; Introduction; 2.1 Interaction of a Thin Circular Plate with aNon-Homogeneous Half-Space. Statement and Formulationof the Problem
2.2 Construction of the Solution2.3 Determination of the Surface Displacement Outsideof the Plate; 2.4 Numerical Examples; References; 3 Analysis of the Deformation of Multi-layeredOrthotropic Cylindrical Elastic Shells Usingthe Direct Approach; 3.1 Introduction; 3.2 Basic Equations for Shells. General Geometry; 3.3 Cylindrical Shells with Arbitrary Cross-Section Shape. Formulation of the Problem; 3.4 Solution Procedure; 3.4.1 Solutions Depending Only on the Circumferential Coordinate; 3.4.2 Basic Solutions to the Equilibrium Equations
3.4.3 Cylindrical Shells Subjected to Terminal Resultant Forcesand Moments3.4.4 Deformation of Loaded Cylindrical Shells; 3.5 Circular Cylindrical Shells; 3.6 Three-Layered Shells; References; 4 Asymptotic Integration of One NarrowPlate Problem; 4.1 Introduction; 4.2 Oscillations of Narrow Orthotropic Rectangular Plate onElastic Foundation. Governing Equations; 4.3 First Iteration Process; 4.4 Second Iteration Process; 4.4.1 Solution of Generalized Bi-Harmonic Problem; 4.4.2 One More Boundary Value Problem; 4.5 Estimation of the Remainder of Series in the Linear Case; 4.6 Closing Remarks
7 On the Convergence of an Iteration Methodin Timoshenko's Theory of Plates7.1 Problem Formulation; 7.2 Reduction of the Problem; 7.3 The Numerical Algorithm; 7.4 The Jacobi Matrix; 7.5 The Iteration Method Convergence and Error; 7.6 An Alternative Form of Requirements; References; 8 Mathematical Models of Micropolar ElasticThin Shells; 8.1 Introduction; 8.2 Problem Statem; 8.3 Model of Micropolar Elastic Thin Shells with IndependentFields of Displacements and Rotations; 8.4 Model of Micropolar Elastic Thin Shells with ConstrainedRotation
Summary This book discusses trends in simulation of and computing shell-like structures, focusing on new theories field equations, complex structures and shell-like structures on different scales
Analysis Computer science
Materials
Surfaces (Physics)
Materials Science
Characterization and Evaluation of Materials
Continuum Mechanics and Mechanics of Materials
Computational Science and Engineering
mechanica
mechanics
materialen
materiaalkunde
computational science
Engineering (General)
Techniek (algemeen)
Bibliography Includes bibliographical references
Subject Shells (Engineering)
Shells (Engineering) -- Materials
shell structures.
Chimie.
Science des matériaux.
Shells (Engineering)
Form Electronic book
Author Altenbach, Holm, 1956-
Eremeyev, Victor A.
ISBN 9783642218552
3642218555
3642218547
9783642218545