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Preface; Contents; List of Contributors; 1 Multi-Mode Symmetric and Asymmetric Solutions in the Jeffery-Hamel Problem for a Convergent Channel; Abstract; Key words:; 1.1 Introduction and Statement of the Problem; 1.2 Analytical Expressions, Asymptotic Expansions, and Integral; 1.2 Analytical Expressions, Asymptotic Expansions, and Integral Estimates of the Solutions; 1.2.1 Perturbation Method for Small Re; 1.2.2 Perturbation Method for Small Aperture Angles; 1.2.3 Asymptotic Behavior of the Solution for Large Re; 1.2.4 Integral Estimates
1.3 Numerical-Analytical Accelerated Convergence Method and1.3 Numerical-Analytical Accelerated Convergence Method and Continuation with Respect to a Parameter; 1.4 Solutions Regularly Depending on the Reynolds Number; 1.5 Construction of the Velocity Profiles and Analysis of the; 1.5 Construction of the Velocity Profiles and Analysis of the Fluid Flow Modes; 1.6 Numerical-Analytical Solution of the Problem for theCritical Value of the Channel Angle; 1.7 New Multi-Mode Asymmetric Solutions that Cannot be
1.7 New Multi-Mode Asymmetric Solutions that Cannot be Regularly Continued with Respect to Re1.8 Kinematic and Force Characteristics of Steady Flows; 1.9 Conclusions; Acknowledgements; References; 2 Riemann's Method in Plasticity: a Review; Abstract; Key words:; 2.1 Preliminary Remarks; 2.2 Pressure-Independent Plasticity; 2.3 Pressure-Dependent Plasticity; 2.4 Planar Ideal Flows; 2.5 Conclusions; Acknowledgements; References; 3 Homogenization of Corrugated Plates Based on the Dimension Reduction for the Periodicity Cell Problem; Abstract; Key words:; 3.1 Introduction
3.2 Statement of the Problem3.3 Dimension Reduction for the Periodicity Sell Problem; 3.4 Symmetric Corrugation; 3.5 Numerical Example 1
Computation of Effective Stiffness of thin Corrugated Shells; 3.6 Computation of the Effective Stiffnesses D2 1212, D2 2121 for Thin Plates; 3.7 Numerical Example 2
Corrugated Plates of Arbitrary Thickness; 3.8 Universal Relations Between the Effective Stiffness of Corrugated Plates made of Materials with the same Poisson's Ratio; 3.9 Conclusions; Acknowledgements; References
4 Consideration of Non-Uniform and Non-Orthogonal Mechanical Loads for Structural Analysis of Photovoltaic Composite StructuresAbstract; Key words:; 4.1 Introduction; 4.1.1 Motivation; 4.1.2 Objective and Structure; 4.1.3 Preliminaries and Notation; 4.2 Mechanical Loads at Photovoltaic Modules; 4.2.1 Loading at Natural Weathering; 4.2.1.1 Snow Loads; 4.2.1.2 Wind Loads; 4.2.2 Mathematical Description of Mechanical Loads; 4.2.2.1 Load Vector; 4.2.2.2 Direction of Loads; 4.2.2.3 Amplitude and Spatial Distribution of Loads; 4.3 Solution Approach with eXtended LayerWise Theory
1.3 Numerical-Analytical Accelerated Convergence Method and1.3 Numerical-Analytical Accelerated Convergence Method and Continuation with Respect to a Parameter; 1.4 Solutions Regularly Depending on the Reynolds Number; 1.5 Construction of the Velocity Profiles and Analysis of the; 1.5 Construction of the Velocity Profiles and Analysis of the Fluid Flow Modes; 1.6 Numerical-Analytical Solution of the Problem for theCritical Value of the Channel Angle; 1.7 New Multi-Mode Asymmetric Solutions that Cannot be
1.7 New Multi-Mode Asymmetric Solutions that Cannot be Regularly Continued with Respect to Re1.8 Kinematic and Force Characteristics of Steady Flows; 1.9 Conclusions; Acknowledgements; References; 2 Riemann's Method in Plasticity: a Review; Abstract; Key words:; 2.1 Preliminary Remarks; 2.2 Pressure-Independent Plasticity; 2.3 Pressure-Dependent Plasticity; 2.4 Planar Ideal Flows; 2.5 Conclusions; Acknowledgements; References; 3 Homogenization of Corrugated Plates Based on the Dimension Reduction for the Periodicity Cell Problem; Abstract; Key words:; 3.1 Introduction
3.2 Statement of the Problem3.3 Dimension Reduction for the Periodicity Sell Problem; 3.4 Symmetric Corrugation; 3.5 Numerical Example 1
Computation of Effective Stiffness of thin Corrugated Shells; 3.6 Computation of the Effective Stiffnesses D2 1212, D2 2121 for Thin Plates; 3.7 Numerical Example 2
Corrugated Plates of Arbitrary Thickness; 3.8 Universal Relations Between the Effective Stiffness of Corrugated Plates made of Materials with the same Poisson's Ratio; 3.9 Conclusions; Acknowledgements; References
4 Consideration of Non-Uniform and Non-Orthogonal Mechanical Loads for Structural Analysis of Photovoltaic Composite StructuresAbstract; Key words:; 4.1 Introduction; 4.1.1 Motivation; 4.1.2 Objective and Structure; 4.1.3 Preliminaries and Notation; 4.2 Mechanical Loads at Photovoltaic Modules; 4.2.1 Loading at Natural Weathering; 4.2.1.1 Snow Loads; 4.2.1.2 Wind Loads; 4.2.2 Mathematical Description of Mechanical Loads; 4.2.2.1 Load Vector; 4.2.2.2 Direction of Loads; 4.2.2.3 Amplitude and Spatial Distribution of Loads; 4.3 Solution Approach with eXtended LayerWise Theory