M. Grediac, ON THE DIRECT DETERMINATION OF INVARIANT PARAMETERS GOVERNING ANISOTROPIC PLATE-BENDING PROBLEMS, International journal of solids and structures, 33(27), 1996, pp. 3969-3982
Many papers deal with the determination of flexural rigidities of anis
otropic plates from only one specimen subjected to one or several load
ing conditions. In such a problem, one of the main questions is the be
st identification of the unknown parameters according to the type of m
aterial, the shape of the specimen and the loading conditions. It seem
s that no general rule giving the ''best'' configuration leading to an
accurate determination has been established. One of the main reasons
is the anisotropic nature of the tested plates, which leads the mechan
ical configuration to be dependent on the material itself. This proble
m would be avoided by the direct measurement of invariant parameters f
rom which the rigidities are easily deduced. These invariant parameter
s reveal the intrinsic elastic behavior of the tested plate, contrary
to the rigidities usually considered which are directional quantities.
This paper describes a procedure for the identification of invariant
parameters governing the bending of anisotropic plates. It is shown th
at the whole displacement field processing of the surface strain field
s obtained in two particular loading cases directly provides those par
ameters. A numerical simulation shows the stability of the present met
hod. Copyright (C) 1996 Elsevier Science Ltd