Case Study II: Unnotched Iosipescu Test

  • Fabrice Pierron
  • Michel Grédiac


In this chapter, the idea is to train the reader to more advanced features of the Virtual Fields Method. First, the test configuration requires the definition of piecewise virtual fields, introducing specific constraints in their parameterization. Also, linear elastic anisotropy is introduced, which increases the number of unknowns from two to four. This leads to the need for the definition of more virtual fields (four) which underlines the critical issue of virtual field selection. As a response to this problem, the second part of the chapter introduces the automated construction of optimized virtual fields leading to the most robust solution (maximum likelihood solution). Both continuous (polynomial) and piecewise (finite element) formulations will be illustrated.


Strain Field Virtual Work Orthotropic Material Test Configuration Virtual Displacement 
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    Pierron F, Vert G, Burguete R, Avril S, Rotinat R, Wisnom M (2007) Identification of the orthotropic elastic stiffnesses of composites with the Virtual Fields Method: sensitivity study and experimental validation. Strain 43(3):250–259CrossRefGoogle Scholar
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    Kumosa M, Han Y (1997) Non-linear finite-element analysis of Iosipescu specimens. Compos Sci Technol 59(4):561–573CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Fabrice Pierron
    • 1
  • Michel Grédiac
    • 2
  1. 1.Ecole Nationale Superieure d’Arts et Métiers (ENSAM)Châlons en ChampagneFrance
  2. 2.Institut PascalUniversité Clermont-Ferrand II and CNRSAubière CedexFrance

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