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Computational Continuum Mechanics of Nanoscopic Structures

Nonlocal Elasticity Approaches

  • Offers a systematic description of the nonlocal elasticity theory
  • Focuses on ways to apply the nonlocal elasticity theory to the study of the mechanical behaviour of nanoscopic structures
  • Offers important insights into nonlocal modelling of the nanoscopic structures

Part of the book series: Springer Tracts in Mechanical Engineering (STME)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xvii
  2. Introduction

    • Esmaeal Ghavanloo, Hashem Rafii-Tabar, Seyed Ahmad Fazelzadeh
    Pages 1-7
  3. Part I

    1. Front Matter

      Pages 9-9
    2. Fundamental Tenets of Nanomechanics

      • Esmaeal Ghavanloo, Hashem Rafii-Tabar, Seyed Ahmad Fazelzadeh
      Pages 11-39
    3. Fundamental Notions from Classical Continuum Mechanics

      • Esmaeal Ghavanloo, Hashem Rafii-Tabar, Seyed Ahmad Fazelzadeh
      Pages 41-60
    4. Essential Concepts from Nonlocal Elasticity Theory

      • Esmaeal Ghavanloo, Hashem Rafii-Tabar, Seyed Ahmad Fazelzadeh
      Pages 61-86
    5. Nonlocal Modelling of Nanoscopic Structures

      • Esmaeal Ghavanloo, Hashem Rafii-Tabar, Seyed Ahmad Fazelzadeh
      Pages 87-113
    6. Elastic Properties of Carbon-Based Nanoscopic Structures

      • Esmaeal Ghavanloo, Hashem Rafii-Tabar, Seyed Ahmad Fazelzadeh
      Pages 115-139
  4. Part II

    1. Front Matter

      Pages 141-141
    2. Computational Modelling of the Vibrational Characteristics of Zero-Dimensional Nanoscopic Structures

      • Esmaeal Ghavanloo, Hashem Rafii-Tabar, Seyed Ahmad Fazelzadeh
      Pages 143-159
    3. Modelling the Mechanical Characteristics of One-Dimensional Nanoscopic Structures

      • Esmaeal Ghavanloo, Hashem Rafii-Tabar, Seyed Ahmad Fazelzadeh
      Pages 161-185
    4. Modelling the Mechanical Characteristics of Carbon Nanotubes: A Nonlocal Differential Approach

      • Esmaeal Ghavanloo, Hashem Rafii-Tabar, Seyed Ahmad Fazelzadeh
      Pages 187-217
    5. Application of Nonlocal Elasticity Theory to Modelling of Two-Dimensional Structures

      • Esmaeal Ghavanloo, Hashem Rafii-Tabar, Seyed Ahmad Fazelzadeh
      Pages 219-239
    6. Nonlocal Elasticity Models for Mechanics of Complex Nanoscopic Structures

      • Esmaeal Ghavanloo, Hashem Rafii-Tabar, Seyed Ahmad Fazelzadeh
      Pages 241-260
    7. Recent Developments and Future Challenges in the Application of Nonlocal Elasticity Theory

      • Esmaeal Ghavanloo, Hashem Rafii-Tabar, Seyed Ahmad Fazelzadeh
      Pages 261-275

About this book

This book offers a comprehensive treatment of nonlocal elasticity theory as applied to the prediction of the mechanical characteristics of various types of biological and non-biological nanoscopic structures with different morphologies and functional behaviour. It combines fundamental notions and advanced concepts, covering both the theory of nonlocal elasticity and the mechanics of nanoscopic structures and systems.

By reporting on recent findings and discussing future challenges, the book seeks to foster the application of nonlocal elasticity based approaches to the emerging fields of nanoscience and nanotechnology. It is a self-contained guide, and covers all relevant background information, the requisite mathematical and computational techniques, theoretical assumptions, physical methods and possible limitations of the nonlocal approach, including some practical applications.

Mainly written for researchers in the fields of physics, biophysics, mechanics, and nanoscience, as well as computational engineers, the book can also be used as a reference guide for senior undergraduate and graduate students, as well as practicing engineers working in a range of areas, such as computational condensed matter physics, computational materials science, computational nanoscience and nanotechnology, and nanomechanics.

Authors and Affiliations

  • School of Mechanical Engineering, Shiraz University, Shiraz, Iran

    Esmaeal Ghavanloo, Seyed Ahmad Fazelzadeh

  • Department of Medical Physics and Biomedical Engineering, Shahid Beheshti University of Medical Sciences, Tehran, Iran

    Hashem Rafii-Tabar

Bibliographic Information

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access