1 A Brief Review of the Development of Mechanics in the NationalAcademy of Sciences of Ukraine
Holm Altenbach, Viacheslav Bogdanov, Anatolii Bulat, Aleksander Guz, and Vladimir Nazarenko
1.1 Introduction
1.2 Department of Mechanics of the NAS of Ukraine
1.3 Institutes of the Department of Mechanics of NAS of Ukraine
1.3.1 S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine
1.3.2 Institute of Hydromechanics of the NAS of Ukraine
1.3.3 Institute of Technical Mechanics of the NAS of Ukraine and State Space Agency of Ukraine
1.3.4 G.S. Pisarenko Institute for Problems of Strength of the NAS of Ukraine
1.3.5 M.S. Polyakov Institute of Geotechnical Mechanics of the NAS of Ukraine
1.3.6 Institute of Transport Systems and Technologies of the NAS of Ukraine
References
2 Thermoviscoplasticity Equations of Isotropic Material with Stress Mode Dependence
Maya Babeshko, Alexander Galishin, Vitalii Savchenko, and Mykola Tormakhov
2.1 Introduction
2.2 Thermoviscoplastic Problem Formulation
2.3 Constitutive Equations
2.4 Numerical Results
2.5 Conclusions
References
3 Influence of Finite Initial Deformations on Velocities of Generalized Lamb Waves in an Incompressible Elastic Layer Interacting with a Layer of an Ideal Fluid
Olexandr Bagno
3.1 Introduction
3.2 Problem Statement. Basic Equations
3.3 Problem-Solving Method
3.4 Numerical Results and Their Analysis
3.5 Influence of the Liquid Layer on the Wave Process
3.6 Influence of Finite Initial Strains on the Wave Characteristics of Generalized Lamb Modes
3.7 Conclusions
References
4 Fracture of Materials Loaded Along Cracks: Approach and Results
Viacheslav Bogdanov, Aleksander Guz, and Vladimir Nazarenko
4.1 Introduction
4.2 Approach to Studying the Problems
4.3 Formulation of the Problems
4.3.1 Initially Stressed Half-Space with a Near-Surface Circular Crack
4.3.2 Pre-Stressed Body with Two Parallel Circular Cracks
4.4 Fredholm Integral Equations
4.4.1 Half-Space with a Near-Surface Circular Crack
4.4.2 Body with Two Parallel Circular Cracks
4.5 Stress Intensity Factors
4.5.1 Half-space with a Near-Surface Circular Crack
4.5.2 Body with Two Parallel Circular Cracks
4.6 Numerical Results
4.7 Conclusions
References
5 Evolution of Electron Structure of the Methane-Coal Sorption System Components and Properties
Anatolii Bulat, Oleksandr Burchak, Volodymyr Trachevskyi, and Andrey Tokar
5.1 Introduction
5.2 Research Methods and Objects
5.3 Experimental Studies
5.4 Theoretical Background of the Concept
5.5 Conclusions
References
6 Stress-Strain State of a Two-Layered Half-Space With Initial Stresses Under the Influence of a Moving Load
Yuriy Glukhov, Stepan Babich, and Victoria Kornienko
6.1 Introduction
6.2 Problem Statement
6.3 Solution of the Problem in the Image Area
6.4 Numerical Study
6.5 Results
6.6 Conclusions
References
7 Numerical Modelling of Fatigue Cracks Growth in Thin Isotropic Plates Considering the Damage Accumulation History
Vladislav Golub and Alla Plashchynska
7.1 Introduction
7.2 Problem Statement. Initial Equations
7.3 Simulation of the Fatigue Crack Growth Process
7.3.1 Incubation Stage
7.3.2 Fatigue crack growth stage
7.3.3 Technique of Determining the Functions and Constants of the Model
7.4 Calculation of the Kinetics of Fatigue Cracks Growth in Finite Plates
7.4.1 Fully Reversed Uniaxial Tension-Compression
7.4.2 Asymmetric Sign-Variable Stress Cycle
7.4.3 Repeated Zero-to-Tension Stress Cycle
7.4.4 Asymmetric Constant-Sign Stress Cycle
7.5 Analysis of the Obtained Results
7.6 Conclusion
References
8 Solving Plates and Shells of Complex Shape Static Problems Using Coordinates Transformations
Alexander Grigorenko, Mykola Kryukov, Wolfgang H. Müller, and Serhii Yaremchenko
8.1 Introduction
8.2 Constitutive Equations
8.2.1 Bending of Oblique and Trapezoidal Plates
8.2.2 Quadrilateral Plates in Refined Formulation
8.2.3 Oblique Cylindrical Shells in Classical Formulation
8.2.4 Circular Oblique Cylinders in Refined Formulation
8.2.5 Cylindrical Shells with Elliptic Cross-Section with Oblique cuts
8.3 Technique for Solving the Boundary Value Problem
8.4 Numerical results
8.4.1 Oblique plate
8.4.2 Trapezoidal Plate
8.4.3 Quadrilateral Plate in Refined Formulation
8.4.4 Beveled Cylindrical Shells in Classical and Refined Formulations
8.4.5 Noncircular Beveled Shells
8.5 Conclusions
References
9 Wave Scattering on Finite Wedge-Shaped Objects
Viktor Grinchenko, Ihor Vovk, Vitalii Husak, and Volodymyr Matsypura
9.1 Introduction
9.2 Formulation and Construction of the Analytical Solution to a Scattering Problem of a Plane Wave on a Finite Wedge-Shaped Object
9.2.1 Sharp Wedge
9.2.2 Rounded Wedge
9.3 Scattering Cross-Section
9.4 Construction of the Numerical Algorithm and Verification of the Fulfillment of Boundary Conditions
9.4.1 Sharp Wedge
9.4.2 Rounded Wedge
9.5 Calculation of the Scattering Cross-Section
9.6 Conclusions
References
10 Heat and Stress State of Coated Bodies under Dry Friction Taking into Account Radiation Heat Exchange
Oleksandr Hachkevych, Rostyslav Terlets’kyi, and Orest Gumenchuk
10.1 Introduction
10.2 Statement of the Problem on the Study of Thermal and Stress States
10.2.1 Problem Statements on the Study of Thermal State
10.2.2 Generalized Conditions of Heat Transfer through a Thin Layer
10.2.3 Formulation of Problems on the Study of the Stress State
10.2.4 Approximate Expressions for Thermal Stresses
10.3 Investigation of Temperature and Stress State at Dry Friction
10.4 Conclusions
References
11 Problems of Thermomechanics of Multilayered Electroconductive Bodies Under the Action of the Pulsed Electromagnetic Fields with Modulation of Amplitude
Oleksandr Hachkevych, Roman Musii, and Nataliya Melnyk
11.1 Introduction
11.2 The Calculated Physicomathematical Model
11.3 Initial Relations of the Thermomechanics of LCB Under the Action of EMF
11.4 Formulation of Initial-Boundary Problems of Thermomechanics of Multilayer Electroconductive Bodies of Canonical Form
11.5 Methodology for Constructing Solutions of Formulated Initial-Boundary Problems
11.6 Solutions of Problems for Bimeta
