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  • © 2012

The Virtual Fields Method

Extracting Constitutive Mechanical Parameters from Full-field Deformation Measurements

  • Contains an extensive theoretical description of the method as well as numerous examples of application to a wide range of materials (composites, metals, welds, biomaterials etc.) and situations (static, vibration, high strain rate etc.)

  • Contains a detailed training section with examples of progressive difficulty to lead the reader to program the VFM

  • Is accompanied with a set of commented Matlab programs as well as with a GUI Matlab based software for more general situations

  • Includes supplementary material: sn.pub/extras

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xxi
  2. Principles and Theory

    1. Front Matter

      Pages 1-1
  3. Principles and theory

    1. Introduction, Main Equations and Notations

      • Fabrice Pierron, Michel Grédiac
      Pages 3-19
    2. The Principle of Virtual Work

      • Fabrice Pierron, Michel Grédiac
      Pages 21-56
    3. The Linear Virtual Fields Method

      • Fabrice Pierron, Michel Grédiac
      Pages 57-106
    4. The Non-linear Virtual Fields Method

      • Fabrice Pierron, Michel Grédiac
      Pages 107-120
    5. Complements

      • Fabrice Pierron, Michel Grédiac
      Pages 121-157
  4. Applications

    1. Front Matter

      Pages 159-159
    2. Fiber Composites

      • Fabrice Pierron, Michel Grédiac
      Pages 161-252
    3. Metals

      • Fabrice Pierron, Michel Grédiac
      Pages 253-291
    4. Soft and Biological Materials

      • Fabrice Pierron, Michel Grédiac
      Pages 293-327
    5. Other Materials

      • Fabrice Pierron, Michel Grédiac
      Pages 329-352
    6. Design of New Tests for the VFM

      • Fabrice Pierron, Michel Grédiac
      Pages 353-374
    7. The VFM for Force Reconstruction

      • Fabrice Pierron, Michel Grédiac
      Pages 375-393
  5. Training

    1. Front Matter

      Pages 395-395
    2. Case Study I: Standard and Funny Isotropic Discs

      • Fabrice Pierron, Michel Grédiac
      Pages 397-415
    3. Case Study II: Unnotched Iosipescu Test

      • Fabrice Pierron, Michel Grédiac
      Pages 417-476
    4. Case Study III: Orthotropic Plate in Pure Bending

      • Fabrice Pierron, Michel Grédiac
      Pages 477-490
    5. The Camfit Program

      • Fabrice Pierron, Michel Grédiac
      Pages 491-494
  6. Back Matter

    Pages 495-517

About this book

The Virtual Fields Method: Extracting Constitutive Mechanical Parameters from Full-field Deformation Measurements is the first and only one on the Virtual Fields Method, a recent technique to identify materials mechanical properties from full-field measurements. It contains an extensive theoretical description of the method as well as numerous examples of application to a wide range of materials (composites, metals, welds, biomaterials etc.) and situations(static, vibration, high strain rate etc.). Finally, it contains a detailed training section with examples of progressive difficulty to lead the reader to program the VFM. This is accompanied with a set of commented Matlab programs as well as with a GUI Matlab based software for more general situations.

Authors and Affiliations

  • Métiers (ENSAM), Ecole Nationale Superieure d'Arts et, Chalons en Champagne, France

    Fabrice Pierron

  • LERMES, Université Clermont-Ferrand II, Aubiere CX, France

    Michel Grédiac

Bibliographic Information

  • Book Title: The Virtual Fields Method

  • Book Subtitle: Extracting Constitutive Mechanical Parameters from Full-field Deformation Measurements

  • Authors: Fabrice Pierron, Michel Grédiac

  • DOI: https://doi.org/10.1007/978-1-4614-1824-5

  • Publisher: Springer New York, NY

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Science+Business Media, LLC 2012

  • Hardcover ISBN: 978-1-4614-1823-8Published: 23 March 2012

  • Softcover ISBN: 978-1-4899-9877-4Published: 13 April 2014

  • eBook ISBN: 978-1-4614-1824-5Published: 21 March 2012

  • Edition Number: 1

  • Number of Pages: XXII, 518

  • Topics: Solid Mechanics, Mechanical Engineering, Structural Materials

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
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