Handbook of Nonlocal Continuum Mechanics for Materials and Structures

Editor/Author Voyiadjis, George Z.
Publication Year: 2019
Publisher: Springer Science+Business Media

Single-User Purchase Price: $849.99
Unlimited-User Purchase Price: Not Available
ISBN: 978-3-319-58728-8
Category: Technology & Engineering - Engineering
Image Count: 605
Book Status: Available
Table of Contents

Provides detailed treatments of computational modeling and applications of nonlocal continuum mechanics (NCM), micro-mechanical characterizations and experimental validation, mathematical methods, nonlocal fracture mechanics, use of NCM in nanotechnology, and NCM in advanced composite materials

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Table of Contents

  • Preface
  • Editors and Contributors
  • Part I Nanoindentation for Length Scales
  • 1 Size Effects and Material Length Scales in Nanoindentation for Metals - George Z. Voyiadjis and Cheng Zhang
  • 2 Size Effects During Nanoindentation: Molecular Dynamics Simulation - George Z. Voyiadjis and Mohammadreza Yaghoobi
  • 3 Molecular Dynamics-Decorated Finite Element Method (MDeFEM): Application to the Gating Mechanism of Mechanosensitive Channels - Liangliang Zhu, Qiang Cui, Yilun Liu, Yuan Yan, Hang Xiao and Xi Chen
  • 4 Spherical Indentation on a Prestressed Elastic Coating/Substrate System - James A. Mills and Xi Chen
  • 5 Experimentation and Modeling of Mechanical Integrity and Instability at Metal/Ceramic Interfaces - Wen Jin Meng and Shuai Shao
  • 6 Uniqueness of Elastoplastic Properties Measured by Instrumented Indentation - L. Liu, Xi Chen, N. Ogasawara and N. Chiba
  • 7 Helical Buckling Behaviors of the Nanowire/Substrate System - Youlong Chen, Yilun Liu and Xi Chen
  • 8 Hydrogen Embrittlement Cracking Produced by Indentation Test - Akio Yonezu and Xi Chen
  • 9 Continuous Stiffness Measurement Nanoindentation Experiments on Polymeric Glasses: Strain Rate Alteration - George Z. Voyiadjis, Leila Malekmotiei and Aref Samadi-Dooki
  • 10 Shear Transformation Zones in Amorphous Polymers: Geometrical and Micromechanical Properties - George Z. Voyiadjis, Leila Malekmotiei and Aref Samadi-Dooki
  • 11 Properties of Material Interfaces: Dynamic Local Versus Nonlocal - Devendra Verma, Chandra Prakash and Vikas Tomar
  • 12 Nanostructural Response to Plastic Deformation in Glassy Polymers - George Z. Voyiadjis and Aref Samadi-Dooki
  • 13 Indentation Fatigue Mechanics - Baoxing Xu, Xi Chen and Zhufeng Yue
  • 14 Crack Initiation and Propagation in Laminated Composite Materials - Jun Xu and Yanting Zheng
  • Part II Micromorphic and Cosserat in Gradient Plasticity for Instabilities in Materials and Structures
  • 15 Micromorphic Approach to Gradient Plasticity and Damage - Samuel Forest
  • 16 Higher Order Thermo-mechanical Gradient Plasticity Model: Nonproportional Loading with Energetic and Dissipative Components - George Z. Voyiadjis and Yooseob Song
  • 17 Micropolar Crystal Plasticity - J. R. Mayeur, D. L. McDowell and Samuel Forest
  • 18 Micromorphic Crystal Plasticity - Samuel Forest, J. R. Mayeur and D. L. McDowell
  • 19 Cosserat Approach to Localization in Geomaterials - Ioannis Stefanou, Jean Sulem and Hadrien Rattez
  • 20 Dispersion of Waves in Micromorphic Media and Metamaterials - Angela Madeo and Patrizio Neff
  • Part III Mathematical Methods in Nonlocal Continuum Mechanics
  • 21 Implicit Nonlocality in the Framework of the Viscoplasticity - Wojciech Sumelka and Tomasz Łodygowski
  • 22 Finite Element Analysis of Thermodynamically Consistent Strain Gradient Plasticity Theory and Applications - George Z. Voyiadjis and Yooseob Song
  • 23 Fractional Nonlocal Continuum Mechanics and Microstructural Models - Vasily E. Tarasov
  • 24 Fractional Differential Calculus and Continuum Mechanics - K. A. Lazopoulos and A. K. Lazopoulos
  • 25 Continuum Homogenization of Fractal Media - Martin Ostoja-Starzewski, Jun Li and Paul N. Demmie
  • Part IV Computational Modeling for Gradient Plasticity in Both Temporaland Spatial Scales
  • 26 Modeling High-Speed Impact Failure of Metallic Materials: Nonlocal Approaches - George Z. Voyiadjis and Babür Deliktaş
  • 27 Strain Gradient Plasticity: Deformation Patterning, Localization, and Fracture - Giovanni Lancioni and Tuncay Yalçinkaya
  • 28 Strain Gradient Crystal Plasticity: Thermodynamics and Implementation - Tuncay Yalçinkaya
  • 29 Strain Gradient Crystal Plasticity: Intergranular Microstructure Formation - İzzet Özdemir and Tuncay Yalçinkaya
  • 30 Microplane Models for Elasticity and Inelasticity of Engineering Materials - Ferhun C. Caner, Valentín de Carlos Blasco and Mercè Ginjaume Egido
  • 31 Modeling Temperature-Driven Ductile-to-Brittle Transition Fracture in Ferritic Steels - Babür Deliktaş, Ismail Cem Turtuk and George Z. Voyiadjis
  • 32 Size-Dependent Transverse Vibration of Microbeams - Ömer Civalek and Bekir Akgöz
  • 33 Axial Vibration of Strain Gradient Micro-rods - Ömer Civalek, Bekir Akgöz and Babür Deliktaş
  • Part V Peridynamics
  • 34 Peridynamics: Introduction - S. A. Silling
  • 35 Recent Progress in Mathematical and Computational Aspects of Peridynamics - Marta D'Elia, Qiang Du and Max Gunzburger
  • 36 Optimization-Based Coupling of Local and Nonlocal Models: Applications to Peridynamics - Marta D'Elia, Pavel Bochev, David Littlewood and Mauro Perego
  • 37 Bridging Local and Nonlocal Models: Convergence and Regularity - Mikil D. Foss and Petronela Radu
  • 38 Dynamic Brittle Fracture from Nonlocal Double-Well Potentials: A State-Based Model - Robert Lipton, Eyad Said and Prashant K. Jha
  • 39 Nonlocal Operators with Local Boundary Conditions: An Overview - Burak Aksoylu, Fatih Celiker and Orsan Kilicer
  • 40 Peridynamics and Nonlocal Diffusion Models: Fast Numerical Methods - Hong Wang
  • 41 Peridynamic Functionally Graded and Porous Materials: Modeling Fracture and Damage - Ziguang Chen, Sina Niazi, Guanfeng Zhang and Florin Bobaru
  • 42 Numerical Tools for Improved Convergence of Meshfree Peridynamic Discretizations - Pablo Seleson and David J. Littlewood
  • 43 Well-Posed Nonlinear Nonlocal Fracture Models Associated with Double-Well Potentials - Prashant K. Jha and Robert Lipton
  • 44 Finite Differences and Finite Elements in Nonlocal Fracture Modeling: A Priori Convergence Rates - Prashant K. Jha and Robert Lipton
  • 45 Dynamic Damage Propagation with Memory: A State-Based Model - Robert Lipton, Eyad Said and Prashant K. Jha