Dynamical processes in generalized continua and structures

This book presents a collection of chapters on the current problems of the theory of dynamical processes in generalized continua and structures, and has been compiled to commemorate the 70th birthday of Prof. Dmitry Indeitsev? a leading specialist in the field of dynamical processes in solids, fluid...

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Other Authors: Altenbach, Holm, 1956-, Belyaev, Alexander,, Eremeyev, Victor A.,, Krivtsov, Anton M.,, Porubov, Alexey V.,, Indeĭt{u0361}sev, D. A.,, SpringerLink (Online service)
Format: eBook
Language: English
Published: Cham, Switzerland : Springer, 2019.
Physical Description: 1 online resource (xi, 525 pages) : illustrations (some color).
Series: Advanced structured materials ; 103.
Subjects:
Table of Contents:
  • Intro; Preface; Contents; New Nonlinear Model for Ice Induced Vibrations; 1 Introduction; 2 Statement of the Problem; 3 Simplified Nonlinear Equation for Structure Vibrations; 3.1 Equation for q; 3.2 Simplification of Vibration Structure Equation; 4 A New Mechanism of Structure Instability; 5 Asymptotic Analysis of Nonlinear Equation; 6 Amplitude Evolution, Instability and Resonances; 7 Multioscillator Model; 8 Numerical Simulations; 9 Conclusion; References; On the Deformation of a Hyperelastic Tube Due to Steady Viscous Flow Within; 1 Introduction; 2 Summary of the Fluid Mechanics Problem.
  • 3 Structural Mechanics Problem: Solving for the Deformation3.1 Thin-Walled Cylinder; 3.2 Thick-Walled Cylinder; 4 Coupling of the Fluid and Structural Mechanics Problems; 4.1 Thin-Walled Cylinder; 4.2 Thick-Walled Cylinder; 5 Results and Discussion; 6 Conclusion; References; Benchmark Study of Measurements of Hydrogen Diffusion in Metals; 1 Introduction; 2 Measurement of Hydrogen Concentration by Vacuum Hot Extraction Method; 3 Modeling of Diffusion Process in Sample; 4 Verification of Main Approximations of Method for Determination of Binding Energies.
  • 5 Multichannel Diffusion Versus TDS Model6 Discussion of Results; 7 Conclusions; References; An Approach to Modeling Structural Materials with Low Hydrogen Concentration; 1 Introduction; 2 Bicomponent Continuum for Modelling the Hydrogen Effects; 3 Bicomponent Model of Fatigue; 4 Wave Approach for Modelling of Destruction; 5 Discussion; 6 Conclusions; References; Modeling of Elastic-Plastic Deformation Based on Updated Initial Configuration of Solid Body; 1 Introduction; 2 Short Description of the Classical Time-Stepping Return-Map Algorithm.
  • 3 Formulation of a New Time-Stepping Return-Map Algorithm3.1 1D Example; 3.2 Return-Map Algorithm for 3D Case; 4 Simulations; 4.1 A Perfectly Elastic-Plastic Model; 4.2 A Model with Hardening; 4.3 Springback Problem; 4.4 A Multi-yield Surfaces Model; 4.5 Calculation of Residual Stresses; 5 Conclusions; References; Modulation Instability of Flexural Waves in Cylindrical Shells: Modified Criterion; 1 Introduction; 2 Asymptotic Analysis of the Shell's Element Motion Equations; 3 Modulational Instability of Axisymmetric Flexural Waves; 4 Discussion of the Results; 5 Conclusions; References.
  • Dynamic Research of Shape Memory Alloys1 Introduction; 2 Specimens for Testing; 3 Methods of Testing; 4 Results of TiNi Alloy Testing; 5 Results of CuAlNi Alloy Testing; 6 Conclusion; References; Methods of Finding of Exact Analytical Solutions of Nonautonomous Nonlinear Klein-Fock-Gordon Equation; 1 Introduction; 2 Methods of Obtaining of Analytical Solutions of Nonautonomous Klein-Fock-Gordon Equation; 3 Exact Analytical Solutions of NKFG Equation; 4 Conclusion; References; Dynamic Fracture Analysis of Sandwich Composites with Face Sheet/Core Debond by the Finite Element Method.