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

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