Description |
1 online resource (xi, 750 pages) : illustrations (some color) |
Series |
Advanced structured materials, 1869-8433 ; v. 15 |
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Advanced structured materials ; v. 15.
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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 |
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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 |
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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 |
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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 |
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Materials |
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Surfaces (Physics) |
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Materials Science |
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Characterization and Evaluation of Materials |
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Continuum Mechanics and Mechanics of Materials |
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Computational Science and Engineering |
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mechanica |
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mechanics |
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materialen |
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materiaalkunde |
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computational science |
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Engineering (General) |
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Techniek (algemeen) |
Bibliography |
Includes bibliographical references |
Subject |
Shells (Engineering)
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Shells (Engineering) -- Materials
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shell structures.
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Chimie.
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Science des matériaux.
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Shells (Engineering)
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Form |
Electronic book
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Author |
Altenbach, Holm, 1956-
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Eremeyev, Victor A.
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ISBN |
9783642218552 |
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3642218555 |
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3642218547 |
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9783642218545 |
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