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Handbook of Nonlocal Continuum Mechanics for Materials and Structures

  • Living reference work
  • © 2020
  • Latest edition

Overview

Editors:
  1. George Z. Voyiadjis

    1. Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, USA

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  • 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

  • Constitutes the most comprehensive reference work on Nonlocal Continuum Mechanics in print and online

  • Instills the broadest understanding of theory, experimental methods, and computation techniques for nonlocal continuum mechanics

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About this book

This handbook covers all areas of nonlocal continuum mechanics including theoretical aspects,computational procedures, and experimental advances. The multidisciplinary scope of articles that comprise this reference are written by internationally recognized experts in the field and stand as the most-up-to-date, established knowledge base on using nonlocal continuum mechanics to characterize material behavior for advanced composites and nano-materials, as well as for engineering scale structures. The handbook is at once a comprehensive reference for academic researchers and engineers in industry concerned with nonlocal continuum mechanics for materials and structures as well as a supplement for graduate courses on a range of topics. 

Table of contents (45 entries)

  1. Axial Vibration of Strain Gradient Micro-rods

    • Ömer Civalek, Bekir Akgöz, Babür Deliktaş

  2. Bridging Local and Nonlocal Models: Convergence and Regularity

    • Mikil D. Foss, Petronela Radu

  3. Continuous Stiffness Measurement Nanoindentation Experiments on Polymeric Glasses: Strain Rate Alteration

    • George Z. Voyiadjis, Leila Malekmotiei, Aref Samadi-Dooki

  4. Continuum Homogenization of Fractal Media

    • Martin Ostoja-Starzewski, Jun Li, Paul N. Demmie

  5. Cosserat Approach to Localization in Geomaterials

    • Ioannis Stefanou, Jean Sulem, Hadrien Rattez

  6. Crack Initiation and Propagation in Laminated Composite Materials

    • Jun Xu, Yanting Zheng

  7. Dispersion of Waves in Micromorphic Media and Metamaterials

    • Angela Madeo, Patrizio Neff

  8. Dynamic Brittle Fracture from Nonlocal Double-Well Potentials: A State-Based Model

    • Robert Lipton, Eyad Said, Prashant K. Jha

  9. Dynamic Damage Propagation with Memory: A State-Based Model

    • Robert Lipton, Eyad Said, Prashant K. Jha

  10. Experimentation and Modeling of Mechanical Integrity and Instability at Metal/Ceramic Interfaces

    • Wen Jin Meng, Shuai Shao

  11. Finite Differences and Finite Elements in Nonlocal Fracture Modeling: A Priori Convergence Rates

    • Prashant K. Jha, Robert Lipton

  12. Finite Element Analysis of Thermodynamically Consistent Strain Gradient Plasticity Theory and Applications

    • George Z. Voyiadjis, Yooseob Song

  13. Fractional Differential Calculus and Continuum Mechanics

    • K. A. Lazopoulos, A. K. Lazopoulos

  14. Fractional Nonlocal Continuum Mechanics and Microstructural Models

    • Vasily E. Tarasov

  15. Helical Buckling Behaviors of the Nanowire/Substrate System

    • Youlong Chen, Yilun Liu, Xi Chen

  16. Higher Order Thermo-mechanical Gradient Plasticity Model: Non-proportional Loading with Energetic and Dissipative Components

    • George Z. Voyiadjis, Yooseob Song

  17. Hydrogen Embrittlement Cracking Produced by Indentation Test

    • Akio Yonezu, Xi Chen

  18. Implicit Nonlocality in the Framework of Viscoplasticity

    • Wojciech Sumelka, Tomasz Łodygowski

  19. Indentation Fatigue Mechanics

    • Baoxing Xu, Xi Chen, Zhufeng Yue

  20. Micromorphic Approach to Gradient Plasticity and Damage

    • Samuel Forest
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Editors and Affiliations

  • Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, USA

    George Z. Voyiadjis

About the editor

GEORGE Z. VOYIADJIS, PH.D. is BOYD PROFESSOR and Bingham C. Stewart Distinguished Professor Chairman in the Department of Civil Engineering at Louisiana State University. His primary research interest is in plasticity and damage mechanics of metals, metal matrix composites, polymers and ceramics with emphasis on the theoretical modeling, numerical simulation of material behavior, and experimental correlation. Research activities of particular interest encompass macro-mechanical and micro- mechanical constitutive modeling, experimental procedures for quantification of crack densities, inelastic behavior, thermal effects, interfaces, damage, failure, fracture, impact, and numerical modeling.

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