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Numerical issues in the virtual fields method
International Journal for Numerical Methods in Engineering, 2004AbstractThis paper deals with the direct identification of parameters governing anisotropic elastic constitutive equations. These parameters are identified from heterogeneous strain fields with the virtual fields method. This method is based on a relevant use of the principle of virtual work.
Grédiac, Michel, Pierron, Fabrice
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Sheet metals characterization using the virtual fields method
AIP Conference Proceedings, 2018In this work, a characterisation method involving a deep-notched specimen subjected to a tensile loading is introduced. This specimen leads to heterogeneous states of stress and strain, the latter being measured using a stereo DIC system (MatchID). This heterogeneity enables the identification of multiple material parameters in a single test.
Aleksander Marek +2 more
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The Linear Virtual Fields Method
2012The Virtual Fields Method is presented in the particular case of constitutive equations which linearly depend on the constitutive parameters. Linear elasticity is a typical example. It is shown that the parameters that govern the constitutive equations can be found directly in this case, with a suitable choice of the virtual fields.
Fabrice Pierron, Michel Grédiac
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The Non-linear Virtual Fields Method
2012The case of constitutive equations that non-linearly depend on their governing parameters is addressed in this chapter. Because of this non-linear nature, the sought parameters are now solution of a set of non-linear equations which has generally to be solved by minimizing a certain cost function defined with some quantities involved in the principle ...
Fabrice Pierron, Michel Grédiac
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Near-field optical virtual probe: a potential method for near-field storage
International Symposium on Optical Memory and Optical Data Storage Topical Meeting, 2003The virtual probe based on evanescent wave interference has a transmission efficiency of 10/sup 2/-10/sup 4/ times larger than an ordinary nano-aperture probe used in a near-field scanning optical microscope (NSOM). The FWHM of central peak of virtual probe keeps constant whatever distance in the certain range.
null Tao Hong +3 more
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General Anisotropy Identification of Paperboard with Virtual Fields Method
Experimental Mechanics, 2014This work extends previous efforts in plate bending of Virtual Fields Method (VFM) parameter identification to include a general 2-D anisotropic material. Such an extension was needed for instances in which material principal directions are unknown or when specimen orientation is not aligned with material principal directions.
Considine, J.M. +3 more
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On a boundary condition used in Virtual Fields methods
Mechanics Research Communications, 2015Abstract The Virtual Fields Method (VFM) and the Eigenfunction Virtual Fields Method (EVFM) are inverse techniques for estimating constitutive properties from full-field experimental data. In these, a set of virtual fields is used in the Principle of Virtual Work (PVW) to yield a system of algebraic equations for the unknown material parameters. In a
S.J. Subramanian, N. Nigamaa
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The Eigenfunction Virtual Fields Method
The Virtual Fields Method (VFM, Pierron and Grediac, 2012) is an inverse technique for computing mechanical properties of materials from full-field deformations obtained from techniques such as Digital Image Correlation (DIC). VFM is based on the principle of virtual work, which is a weak statement of the equations of motion.openaire +1 more source
Virtual Lens Method for Near-Field Phase Retrieval
Bulletin of the Lebedev Physics Institute, 2023I. A. Artyukov +4 more
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Identification of Strain-Rate Sensitivity With the Virtual Fields Method
2007The experimental identification of parameters governing the elasto-visco-plastic constitutive behavior of materials is a key issue which usually relies on performing simple mechanical tests for which a closed-form solution for the corresponding equivalent mechanical problem is available.
Stéphane Avril +3 more
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