Dynamics, strength of materials and durability in multiscale mechanics /

Dynamics, strength of materials and durability in multiscale mechanics /

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Bibliographic Details
Imprint:Cham : Springer, 2021.
Description:1 online resource (410 p.).
Language:English
Series:Advanced structured materials ; v. 137
Advanced structured materials ; 137.
Subject:
Materials -- Mechanical properties -- Mathematical models.
Materials -- Mathematical models.
Multiscale modeling.
Multiscale modeling.
Materials -- Mechanical properties -- Mathematical models.
Materials -- Mathematical models.
Materials science.
Mechanics.
Mechanics, Applied.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12608703
Hidden Bibliographic Details
Other authors / contributors:Dell'Isola, Francesco.
Igumnov, Leonid.
ISBN:9783030537555
3030537552
3030537544
9783030537548
Notes:5.9 Comparative Analysis of the Results of Analyzing the Cavity Problem in Media with Tresca's, Mohr-Coulomb, and Mohr-Coulomb-Tresca's Plasticity Conditions.
Online resource; title from PDF title page (SpringerLink, viewed January 22, 2021).
Summary:This book reviews the mathematical modeling and experimental study of systems involving two or more different length scales. The effects of phenomena occurring at the lower length scales on the behavior at higher scales are of intrinsic scientific interest, but can also be very effectively used to determine the behavior at higher length scales or at the macro-level. Efforts to exploit this micro- and macro-coupling are, naturally, being pursued with regard to every aspect of mechanical phenomena. This book focuses on the changes imposed on the dynamics, strength of materials and durability of mechanical systems by related multiscale phenomena. In particular, it addresses: 1: the impacts of effective dissipation due to kinetic energy trapped at lower scales 2: wave propagation in generalized continua 3: nonlinear phenomena in metamaterials 4: the formalization of more general models to describe the exotic behavior of meta-materials 5: the design and study of microstructures aimed at increasing the toughness and durability of novel materials.
Other form:Print version: dell'Isola, Francesco Dynamics, Strength of Materials and Durability in Multiscale Mechanics Cham : Springer International Publishing AG,c2021 9783030537548
Standard no.:10.1007/978-3-030-53755-5
Table of Contents:
  • 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

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