Shell-like Structures [electronic resource] : Non-classical Theories and Applications /
Altenbach, Holm.editor.
Eremeyev, Victor A.editor.
In this volume scientists and researchers from industry discuss the new trends in simulation and computing shell-like structures. The focus is put on the following problems: new theories (based on two-dimensional field equations but describing non-classical effects), new constitutive equations (for materials like sandwiches, foams, etc. and which can be combined with the two-dimensional shell equations), complex structures (folded, branching and/or self intersecting shell structures, etc.) and shell-like structures on different scales (for example: nano-tubes) or very thin structures (similar to membranes, but having a compression stiffness). In addition, phase transitions in shells and refined shell thermodynamics are discussed. The chapters of this book are the most exciting contributions presented at the EUROMECH 527 Colloquium “Shell-like structures: Non-classical Theories and Applications” held in Wittenberg, Germany.
Description based upon print version of record.
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 ofAnisotropic 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
References5 On Cusped Shell-like Structures; 5.1 Introduction; 5.2 Geometry of Structures Under Consideration; 5.3 Hierarchical Models; 5.4 Cusped Shells and Plates; 5.5 Cusped Beams; 5.6 Relations of 3D, 2D, and 1D Problems; 5.7 Cusped Prismatic Shell-Fluid Interaction Problems; References; 6 Effect of the Tangential Loads on the Bendingof Elastic Plates; 6.1 Problem Formulation; 6.2 Solutions for Lightweight Restraint Conditions at x = 0; 6.3 Solutions for Straitened Sliding Contact Conditions at x = 0; 6.4 Conclusions; References
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
8.5 Model of Micropolar Shells with "Small TransverseStiffness"
Includes bibliographical references.
In this volume scientists and researchers from industry discuss the new trends in simulation and computing shell-like structures. The focus is put on the following problems: new theories (based on two-dimensional field equations but describing non-classical effects), new constitutive equations (for materials like sandwiches, foams, etc. and which can be combined with the two-dimensional shell equations), complex structures (folded, branching and/or self intersecting shell structures, etc.) and shell-like structures on different scales (for example: nano-tubes) or very thin structures (similar to membranes, but having a compression stiffness). In addition, phase transitions in shells and refined shell thermodynamics are discussed. The chapters of this book are the most exciting contributions presented at the EUROMECH 527 Colloquium “Shell-like structures: Non-classical Theories and Applications” held in Wittenberg, Germany.
Materials science.
Mechanics.
Mechanics, Applied.
Computer mathematics.
Characterization and Evaluation of Materials.
Solid Mechanics.
Computational Science and Engineering.