Intro
Contents
1 Modeling Fatigue Life of Structural Alloys Under Block Asymmetric Loading
1.1 Introduction
1.2 Constitutive Equations of MDM
1.2.1 Constitutive Equations in Plasticity
1.2.2 Evolutionary Equations Describing Fatigue Damage Accumulation
1.2.3 Strength Criterion of Damaged Material
1.3 Numerical Results
1.3.1 Block-Type Asymmetric Soft Cyclic Loading
1.3.2 Multi-axial Proportional and Non-proportional Regimes of Soft Block-Type Cyclic Loading
1.3.3 Hard Block-Type Asymmetric Low-Cycle Loading
1.4 Conclusion
References

2 Excitation of the Waves with a Focused Source, Moving Along the Border of Gradient-Elastic Half-Space
2.1 Introduction
2.2 The Basic Equations of Gradient Theory of Elasticity
2.3 The Statement and Solution to the General Problem of Waves Propagation in Gradient-Elastic Medium
2.4 The Statement and Solution to the Problem of a Gradient-Elastic Medium with a Moving Source Generating Surface Waves
2.4.1 The Subsonic Case
2.4.2 The Supersonic Case
2.5 Conclusion
References

3 On the Spectrum of Relaxation Times in Coupled Diffusion and Rheological Processes in Metal Alloys
3.1 Introduction
3.2 The Brassart's Model Supplemented with Elastic Strains
3.2.1 Deformation and Volumetric Expansion
3.2.2 Free Energy
3.2.3 Thermodynamic Inequality
3.2.4 Elastic Relations and Functions of State
3.2.5 Kinetic Equations
3.2.6 Balance Equations
3.3 Analysis of Relaxation of Spatial Perturbations
3.3.1 Model Problem
3.3.2 Field Equations
3.3.3 Perturbed System and Its Analysis
3.3.4 The Relaxation Time of Perturbations and Their Asymptotics

3.4 Conclusion
References
4 Finite Element Method Study of the Protection Damping Elements Dynamic Deformation
4.1 Introduction
4.2 Constitutive System of Equations and Problem Solution Method
4.2.1 MHS Filler Modeling
4.2.2 Finite Element Analysis
4.3 Results of Computational Experiments
4.4 Conclusion
References
5 Analyzing the Problem of a Spherical Cavity Expansion in a Medium with Mohr-Coulomb-Tresca's Plasticity Condition
5.1 Introduction
5.2 Formulation of an Initial Boundary-Value Problem for a System of Partial Differential Equations

5.3 Formulating a Boundary-Value Problem for a System of Two First-Order Ordinary Differential Equations in the Plastic Region
5.4 Formulation and Solution of the Boundary-Value Problem for Second-Order ODE's in the Elastic Deformation Region
5.5 Determining the Critical Pressure
5.6 An Analytical Solution of the Cavity Expansion Problem in a Medium with a Linear Shock Adiabat
5.7 Determining Stresses in a Medium with the Mohr-Coulomb Yield Condition
5.8 Determining Stress in a Medium with Mohr-Coulomb-Tresca's Yield Condition