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  • © 2014

Peridynamic Theory and Its Applications

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  • Introduces a new theory to advance in the analysis of existing and new structures and materials

  • Provides sample algorithms for students, as well as researchers, to self-study and discover their own solutions to problems

  • Provides a comprehensive introduction to this emerging method and is suitable for graduate courses

  • Includes supplementary material: sn.pub/extras

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USD 59.99
Price excludes VAT (USA)
  • ISBN: 978-1-4614-8465-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 79.99
Price excludes VAT (USA)
Hardcover Book
USD 109.99
Price excludes VAT (USA)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xii
  2. Introduction

    • Erdogan Madenci, Erkan Oterkus
    Pages 1-17
  3. Peridynamic Theory

    • Erdogan Madenci, Erkan Oterkus
    Pages 19-43
  4. Peridynamics for Local Interactions

    • Erdogan Madenci, Erkan Oterkus
    Pages 45-51
  5. Peridynamics for Isotropic Materials

    • Erdogan Madenci, Erkan Oterkus
    Pages 53-74
  6. Peridynamics for Laminated Composite Materials

    • Erdogan Madenci, Erkan Oterkus
    Pages 75-113
  7. Damage Prediction

    • Erdogan Madenci, Erkan Oterkus
    Pages 115-124
  8. Numerical Solution Method

    • Erdogan Madenci, Erkan Oterkus
    Pages 125-150
  9. Benchmark Problems

    • Erdogan Madenci, Erkan Oterkus
    Pages 151-169
  10. Nonimpact Problems

    • Erdogan Madenci, Erkan Oterkus
    Pages 171-180
  11. Impact Problems

    • Erdogan Madenci, Erkan Oterkus
    Pages 181-190
  12. Coupling of the Peridynamic Theory and Finite Element Method

    • Erdogan Madenci, Erkan Oterkus
    Pages 191-202
  13. Peridynamic Thermal Diffusion

    • Erdogan Madenci, Erkan Oterkus
    Pages 203-244
  14. Fully Coupled Peridynamic Thermomechanics

    • Erdogan Madenci, Erkan Oterkus
    Pages 245-278
  15. Back Matter

    Pages 279-289

About this book

The peridynamic theory provides the capability for improved modeling of progressive failure in materials and structures, paving the way to address multi-physics and multi-scale problems. Because it is based on concepts not commonly used in the past, the purpose of this book is to explain the peridynamic theory in a single framework. It presents not only the theoretical basis but also its numerical implementation.

 

The book begins with an overview of the peridynamic theory and derivation of its governing equations. The relationship between peridynamics and classical continuum mechanics is established, and this leads to the ordinary state-based peridynamics formulations for both isotropic and composite materials. Numerical treatments of the peridynamic equations are presented in detail along with solutions to many benchmark and demonstration problems. In order to take advantage of salient features of peridynamics and the finite element method, a coupling technique is also described. Finally, an extension of the peridynamic theory for thermal diffusion and fully coupled thermomechanics is presented with applications.

 

Students and researchers alike will find this book an essential and invaluable reference on the topic.  It offers both theoretical and practical knowledge of the peridynamic theory and may be used in courses such as Multi-physics and Multi-scale Analysis, Nonlocal Computational Mechanics, and Computational Damage Prediction.  Sample algorithms for the solution of benchmark problems are available at http://extras.springer.com for researchers and graduate students, who can modify these algorithms and develop their own solution algorithms for specific problems.

Keywords

  • Adaptive Dynamic Relaxation
  • Balance Laws
  • Damage Prediction
  • Equations of Motion
  • Failure Prediction
  • Finite Element Method
  • Force Density
  • Numerical Solution Method
  • Numerical Stability
  • Peridynamic Parameters
  • Peridynamic Theory
  • Spatial Discretization
  • Strain Energy Density
  • Thermomechanics

Reviews

From the book reviews:

“The book is very interesting from the methodical viewpoint, presenting a comparatively new theory of solid mechanics, accompanying the text by many examples, which can be useful to students studying the novel approaches to solid mechanics and related topics, and also to their teachers preparing lectures and practical works.” (I. A. Parinov, zbMATH, Vol. 1295, 2014)

Authors and Affiliations

  • Engineering, University of Arizona Dept. Aerospace & Mechanical, Tucson, USA

    Erdogan Madenci

  • Naval Architecture and Marine Engineering, University of Strathclyde, Glasgow, United Kingdom

    Erkan Oterkus

Bibliographic Information

  • Book Title: Peridynamic Theory and Its Applications

  • Authors: Erdogan Madenci, Erkan Oterkus

  • DOI: https://doi.org/10.1007/978-1-4614-8465-3

  • Publisher: Springer New York, NY

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Science+Business Media New York 2014

  • Hardcover ISBN: 978-1-4614-8464-6

  • Softcover ISBN: 978-1-4939-5322-6

  • eBook ISBN: 978-1-4614-8465-3

  • Edition Number: 1

  • Number of Pages: XII, 289

  • Number of Illustrations: 152 b/w illustrations

  • Topics: Solid Mechanics, Structural Materials, Engineering Thermodynamics, Heat and Mass Transfer

Buying options

eBook
USD 59.99
Price excludes VAT (USA)
  • ISBN: 978-1-4614-8465-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 79.99
Price excludes VAT (USA)
Hardcover Book
USD 109.99
Price excludes VAT (USA)