Identification of a macroscopic anisotropic damage model using digital image correlation and the equilibrium gap method
DOI:
https://doi.org/10.13052/EJCM.19.229-240Keywords:
identification, mechanical testing, anisotropic damage, inelasticity, full-field measurementsAbstract
The aim of the work is to demonstrate how an anisotropic damage model may be identified from full field measurements retrieved during a heterogeneous test. The example of a biaxial test performed on a 3D C / C composite is used. In a first step, the displacement fields measured by classical Digital Image Correlation are used as input data of a finite difference version of the Equilibrium Gap Method. A benefit from unloadings (assumed to be elastic) is shown to retrieve a damage law. In a second step, inelastic strains can be assessed from the total measured strain and the elastic estimated strains. The constitutive parameters relative to the inelastic part of the model are then identified.
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Avril S., Bonnet M., Bretelle A.-S., Grédiac M., Hild F., Ienny P., Latourte F., Lemosse D.,
Pagano S., Pagnacco E., Pierron F., “Identification from measurements of mechanical
fields”, Exp. Mech., vol. 48, n° 5, 2008, p. 381-402.
Bay B., Smith T., Fyhrie D., Saad M., “Digital volume correlation: three-dimensional strain
mapping using x-ray tomography”, Exp.Mech., vol. 39, n° 3, 1999, p. 217-226.
Chalal H., Meraghni F., Pierron F., Grédiac M., “Direct identification of the damage
behaviour of composite materials using the virtual fields method”, Composites Part A,
vol. 35, n° 7-8, 2004, p. 841-848.
Claire D., Hild F., Roux S., “Identification of damage fields using kinematic measurements”,
C. R. Mécanique, 2002, 330, p. 729-734.
Claire D., Hild F., Roux S., “Identification of a damage law by using full-field displacement
measurements”, Int. J. Damage Mech., vol. 16, 2007, p. 179-197.
Cooreman S., Lecompte D., Sol H., Vantomme J., Debruyne D., “Elasto-plastic material
parameter identification by inverse methods: Calculation of the sensitivity matrix”,
International Journal of Solids and Structures, vol. 44, n° 13, 2007, p. 4329-4341.
Crouzeix L., Périé J.-N., Collombet F., Douchin B., “An orthotropic variant of the equilibrium
gap method applied to the analysis of a biaxial test on a composite material”, Composite:
Part A, vol. 40, 2009, p. 1732-1740.
Geers M. G. D., de Borst R., Peijs T., “Mixed numerical-experimental identification of nonlocal
characteristics of random-fibre-reinforced composites”, Comp. Sci. Tech., vol. 59,
n° 10, 1999, p. 1569-1578.
Hernandez Moreno H., Douchin B., Collombet F., Davies P., Choqueuse D., “Influence of
winding pattern on the mechanical behavior of filament wound composite cylinders under
external pressure”, Composites Science and Technology, vol. 68, n° 3-4, 2008, p. 1015-1024.
Hild F., Raka B., Baudequin M., Roux S., Cantelaube F., “Multiscale displacement field
measurements of compressed mineral-wool samples by digital image correlation”, Appl
Opt, vol. 41, n° 32, 2002, p. 6815-6828.
Hochard C., Lahellec N., Bordreuil C., “A ply scale non-local fibre rupture criterion for CFRP
woven ply laminated structures”, Comp. Struct., vol. 80, n° 3, 2007, p. 321-326.
Ladevèze P., LeDantec E., “Damage modelling of the elementary ply for laminated
composites”, Comp. Sci. Tech., vol. 43, 1992, p. 257-267.
Laurin F., Carrère N., Maire J.F., “A multiscale progressive failure approach for composite
laminates based on thermodynamical viscoelastic and damage models”, Composites Part
A, vol. 38, n° 1, 2007, p. 198-209.
Lubineau G., Ladevèze P., “Construction of a micromechanics-based intralaminar
mesomodel, and illustrations in ABAQUS/Standard”, Computational Materials Science,
vol. 43, n° 1, 2008, p. 137-145.
Marguerès P., Périé J.-N., Perez J. G., Collombet F., Grunevald Y., “Characterization of a
composite structure obtained by RFI using HexFIT® semi-products”, Composites Science
and Technology, vol. 69, n° 1, 2009, p. 117-124.
Molimard J., Le Riche R., Vautrin A., Lee J.-R., “Identification of the four orthotropic plate
stiffnesses using a single open-hole tensile test”, Exp.Mech., vol. 45, n° 5, 2005, p. 404-411.
Périé J.-N., Calloch S., Cluzel C., Hild F., “Analysis of a multiaxial test on a C/C composite
by using digital image correlation and a damage model”, Exp. Mech., vol. 42, n° 3, 2002,
p. 318-328.
Périé J.-N., Leclerc H., Roux S., Hild F., “Digital image correlation and biaxial test on
composite material for anisotropic damage law identification”, International Journal of
Solids and Structures, vol. 46, n° 11-12, 2009, p. 2388-2396.
Pierron F., Vert G., Burguete R., Avril S., Rotinat R., Wisnom M.-R., “Identification of the
orthotropic elastic stiffnesses of composites with the virtual fields method: sensitivity
study and experimental validation”, Strain, vol. 43, n° 3, 2007, p. 250-259.
Sutton M. A., Wolters W. J., Peters W. H., Ranson W. F., McNeill S. R., “Determination of
displacements using an improved digital correlation method”, Image Vision and
Computing, vol. 1, n° 3, 1983, p. 133-139.
