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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.

This book shows impressively how complex mathematical modeling of materials can be applied to technological problems. Top-class researchers present the theoretical approaches in modern mechanics and apply them to real-world problems in solid mechanics, creep, plasticity, fracture, impact, and friction. They show how they can be applied to technological challenges in various fields like aerospace technology, biological sciences and modern engineering materials.