Deformation and Destruction of Materials and Structures Under Quasi-static and Impulse Loading

Preface
Contents
Contributors
1 A Review of Hyperelastic Constitutive Models for Dielectric Elastomers
1.1 Introduction
1.2 Theory of Dielectric Elastomers
1.3 Hyperelasticity
1.3.1 General Form of Hyperelasticity
1.3.2 Neo-Hookean Model
1.3.3 Gent Model
1.3.4 Mooney–Rivlin Model
1.3.5 Gent–Gent Model
1.4 Studies on Dielectric Elastomers Based on the Type of Hyperelastic Model
1.4.1 Studies Based on Gent Model
1.4.2 Studies Based on Neo-Hookean, Mooney–Rivlin, and Ogden Models
1.4.3 Studies Based on Gent–Gent Model
1.5 Future Works on Nonlinear Elasticity of Dielectric Elastomers
1.6 Conclusion
References
2 Evolution of the Microstructure of Obstacles from FCC Alloys Under High-Velocity Impact Conditions
2.1 Introduction
2.2 Samples, Materials and Experimental Technique
2.3 Results of Microstructural Studies and Their Analysis
2.3.1 General Remarks and Results
2.3.2 Evolution of Microstructure in Aluminum Alloy
2.3.3 Microstructure Evolution in Stainless Steel
2.3.4 Evolution of Microstructure in Aluminum Bronze
2.4 Conclusion
References
3 Decomposition of Solutions of Multicomponent Boundary Value Problems by Solutions of Single-Component Ones for the Purposes of Nanotechnology
3.1 Introduction
3.2 Basic Equations
3.3 Decomposition of the Boundary Value Problem Solution Using Block Elements
3.4 Conclusion
References
4 Determination of Dynamic Interlayer Strength Properties of Layered Composites Using Measuring Bars
4.1 Introduction
4.2 Determination of Interlayer Strength at Separation
4.3 Determination of Interlayer Shear Strength by Bending a Short Beam
4.4 Determination of Interlayer Shear Strength by Compression of Samples of Special Shape
4.5 Determination of the Interlayer Shear Strength of the PCM by Extrusion of the Middle of the Parallelepiped Sample
4.6 Comparative Analysis of Schemes for Interlayer Shear
4.7 Conclusions
References
5 Durability of High-Load Structures
5.1 Introduction
5.2 Main Provisions and Equations of the Applied Inelasticity Theory
5.3 Material Functions and Fundamental Experiment
5.4 Air-Cell Diesel's Durability
5.5 Low-Cycle Durability of the Conical Nozzle Tip
5.6 Prediction of Life of a Power Generation System
5.7 Conclusion
References
6 Monotonic and Cyclic Loading Processes
6.1 Introduction
6.2 Basic Equations of the Plasticity Theory
6.3 Monotonic and Cyclic Loading of 12X18H10T Stainless Steel
6.4 Material Functions of 12X18H10T Stainless Steel
6.5 Verification of the Modified Plasticity Theory
6.6 Conclusions
References
7 Experimental and Computational Study of Deformation and Fracture of Pine Under Dynamic Three-Point Bending of Beams
7.1 Introduction
7.2 Test Method and Proceeding Procedure
7.3 The Results of Experiments
7.4 Material Model
7.5 Modeling of Impact Bending of a Wooden Beam
7.6 Conclusions
References
8 Study of Dynamic Properties of Fiber Concrete with Polymeric, Steel, and Combined Fiber under High-Speed Compression
8.1 Introduction
8.2 Test Method
8.3 Characteristics of the Tested Materials
8.4 Results of Static Tests
8.5 Results of Dynamic Tests for Uniaxial Compression
8.6 Conclusion
References
9 Unsteady Longitudinal Mechanodiffusion Vibrations of a Rectangular Plate with Inner Diffusion Flux Relaxation
9.1 Introduction
9.2 Problem Formulation
9.3 Integral Representation of the Solution
9.4 Algorithm for Green's Functions
9.5 Calculation Example
9.6 Conclusions
References
10 The Influence of the Detailed Model of the Structure on the Stress–Strain State of the Soil Base in the Calculations of Seismic Resistance
10.1 Introduction
10.2 The Mathematical Model and Numerical Experiment
10.3 Numerical Results
10.4 Conclusion
References
11 Generalized Linear Model of Dynamics of Elastic Moment Shells
11.1 Introduction
11.2 Problem Formulation
11.3 Hamiltonian for an Elastic Moment Shell
11.4 Physical Law for an Elastic Moment Shell
11.5 Initial and Boundary Value Problems for an Anisotropic Shell
11.6 Conclusions
References
12 Transient Interaction of a Rigid Indenter with a Membrane Accounting for Adhesive Forces
12.1 Introduction
12.2 Problem Statement
12.3 Solution Method
12.4 Rigid Indenter Motion at Constant Velocity
12.5 Conclusion
References
13 Transforming Deformation Model of Flat Beams with Finite Length Fastening Areas Located on One of the Front-Face Surfaces
13.1 Introduction
13.2 General Equations
13.3 Equations Corresponding to the Description of the Unfastened Section of the Beam by the Classical Kirchhoff–Love Model
13.4 Construction of Analytical Solutions for the Simplest Problems
13.4.1 Bending of Cantilevered Fixed Flat Beam Under Transverse Load p=const
13.4.2 Forced Bending Vibrations of a Flat Beam with Two Cantilever Parts and a Fixation Section Between Them
13.5 Calculation Results and Their Analysis
13.6 Conclusion
References
14 Active Damping of Transverse Vibrations of Console Beam by Piezoelectric Layer with Different Electrode Shapes
14.1 Introduction
14.2 Statement of the Problem
14.3 Mathematical Model of Active Damping of Transverse Beam Vibrations
14.4 Active Damping of the Cantilever Beam with a Piezoelectric Layer
14.5 Statement of the Two-Criteria Problem of Control Theory
14.6 Mathematical Model of Active Damping of a Beam by Piezolelectric Layers of Various Shapes
14.7 Results
14.8 Conclusions
References
15 Investigation of the Dynamic Response in a One-Dimensional Partially Saturated Poroelastic Medium
15.1 Introduction
15.2 Analytical Solution of One-Dimensional Wave Propagation
15.3 Laplace Transform Inversion
15.4 Numerical Simulations
15.5 Conclusion
References
16 Dynamic Problems for Piecewise Homogeneous Viscoelastic Bodies
16.1 Introduction
16.2 Non-stationary Dynamic Problem Statement
16.3 Connection Between the Non-stationary Dynamic Problem and the Problem of Free Oscillations
16.4 Eigenvalue Search Method
16.5 Example. Dynamic Problem for a Three-Layer Cylinder
16.6 Numerical Results
16.7 Conclusion
References
17 Nanoindentation Derived Mechanical Properties of TiN Thin Film Deposited Using Magnetron Sputtering Method
17.1 Introduction
17.2 Materials and Methods
17.3 Results and Discussion
17.4 Conclusion
References