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Size-Dependent Continuum Mechanics Approaches

Theory and Applications

  • Book
  • © 2021

Overview

Editors:
  1. Esmaeal Ghavanloo

    1. School of Mechanical Engineering, Shiraz University, Shiraz, Iran

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  2. S. Ahmad Fazelzadeh

    1. School of Mechanical Engineering, Shiraz University, Shiraz, Iran

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    You can also search for this editor in PubMed   Google Scholar

  3. Francesco Marotti de Sciarra

    1. Department of Structures for Engineering and Architecture, University of Naples Federico II, Naples, Italy

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  • Presents new trends and applications of size-dependent continuum theories
  • Covers advanced studies of material behavior at different scales
  • Reports on methods to study the mechanical behavior of small size structures

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

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Lattice-Based Nonlocal Elastic Structural Models

    • Noël Challamel, Chien Ming Wang, Hong Zhang, Isaac Elishakoff
    Pages 1-50

  3. Eringen’s Nonlocal Integral Elasticity and Applications for Structural Models

    • Constantinos Chr. Koutsoumaris, Konstantinos G. Eptaimeros
    Pages 51-93

  4. Nonlocal Mechanics in the Framework of the General Nonlocal Theory

    • Mohamed Shaat, Esmaeal Ghavanloo
    Pages 95-122

  5. Displacement Based Nonlocal Models for Size Effect Simulation in Nanomechanics

    • Gioacchino Alotta, Francesco P. Pinnola, Marzia S. Vaccaro
    Pages 123-147

  6. One-Dimensional Well-Posed Nonlocal Elasticity Models for Finite Domains

    • Mohammad Ali Maneshi, Esmaeal Ghavanloo, S. Ahmad Fazelzadeh
    Pages 149-168

  7. Iterative Nonlocal Residual Elasticity

    • Mohamed Shaat
    Pages 169-185

  8. Nonlocal Gradient Mechanics of Elastic Beams Under Torsion

    • Francesco P. Pinnola, S. Ali Faghidian, Marzia S. Vaccaro, Raffaele Barretta, Francesco Marotti de Sciarra
    Pages 187-204

  9. Reformulation of the Boundary Value Problems of Nonlocal Type Elasticity: Application to Beams

    • Xiao-Jian Xu
    Pages 205-222

  10. Application of Combined Nonlocal and Surface Elasticity Theories to Vibration Response of a Graded Nanobeam

    • Sami El-Borgi, Prakash Rajendran, Mohamed Trabelssi
    Pages 223-260

  11. Finite Element Nonlocal Integral Elasticity Approach

    • Maysam Naghinejad, Hamid Reza Ovesy, Mohsen Taghizadeh, Seyyed Amir Mahdi Ghannadpour
    Pages 261-309

  12. ‘Explicit’ and ‘Implicit’ Non-local Continuum Descriptions: Plate with Circular Hole

    • Meral Tuna, Lorenzo Leonetti, Patrizia Trovalusci, Mesut Kirca
    Pages 311-338

  13. Micromorphic Continuum Theory: Finite Element Analysis of 3D Elasticity with Applications in Beam- and Plate-Type Structures

    • Reza Ansari, Amir Norouzzadeh, Hessam Rouhi
    Pages 339-363

  14. Peridynamic Modeling of Laminated Composites

    • Erdogan Madenci, Mehmet Dorduncu
    Pages 365-392

  15. Nonlocal Approaches to the Dynamics of Metamaterials

    • Giuseppe Failla, Esmaeal Ghavanloo
    Pages 393-415

  16. Gradient Extension of Classical Material Models: From Nuclear & Condensed Matter Scales to Earth & Cosmological Scales

    • Elias C. Aifantis
    Pages 417-452
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Keywords

About this book

This book offers a comprehensive and timely report of size-dependent continuum mechanics approaches. Written by scientists with worldwide reputation and established expertise, it covers the most recent findings, advanced theoretical developments and computational techniques, as well as a range of applications, in the field of nonlocal continuum mechanics. Chapters are concerned with lattice-based nonlocal models, Eringen’s nonlocal models, gradient theories of elasticity, strain- and stress-driven nonlocal models, and peridynamic theory, among other topics. This book provides researchers and practitioners with extensive and specialized information on cutting-edge theories and methods, innovative solutions to current problems and a timely insight into the behavior of some advanced materials and structures. It also offers a useful reference guide to senior undergraduate and graduate students in mechanical engineering, materials science, and applied physics.

Editors and Affiliations

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

    Esmaeal Ghavanloo, S. Ahmad Fazelzadeh

  • Department of Structures for Engineering and Architecture, University of Naples Federico II, Naples, Italy

    Francesco Marotti de Sciarra

Bibliographic Information

  • Book Title: Size-Dependent Continuum Mechanics Approaches

  • Book Subtitle: Theory and Applications

  • Editors: Esmaeal Ghavanloo, S. Ahmad Fazelzadeh, Francesco Marotti de Sciarra

  • Series Title: Springer Tracts in Mechanical Engineering

  • DOI: https://doi.org/10.1007/978-3-030-63050-8

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-63049-2Published: 03 April 2021

  • Softcover ISBN: 978-3-030-63052-2Published: 03 April 2022

  • eBook ISBN: 978-3-030-63050-8Published: 02 April 2021

  • Series ISSN: 2195-9862

  • Series E-ISSN: 2195-9870

  • Edition Number: 1

  • Number of Pages: XVIII, 452

  • Number of Illustrations: 63 b/w illustrations, 85 illustrations in colour

  • Topics: Solid Mechanics, Nanotechnology, Numerical and Computational Physics, Simulation

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