

Type of Document Dissertation Author Dano, Marie-Laure Author's Email Address Marie-Laure.Dano@gmc.ulaval.ca URN etd-3123162539751141 Title SMA-Induced Deformations In general Unsymmetric Laminates Degree PhD Department Engineering Science and Mechanics Advisory Committee
Advisor Name Title M. W. Hyer Committee Chair D. H. Morris none E. R. Johnson none F. Lalande none O. H. Griffin, Jr. none Keywords
- instability
- modeling of smart structures
- shape control
- snap through
Date of Defense 1997-04-22 Availability unrestricted Abstract General unsymmetric laminates exhibit large
natural curvatures at room temperature.
Additionally, inherent to most unsymmetric
laminates is the presence of two stable
configurations. Multiple configurations and
stability issues arise because of the geometric
nonlinearities associated with the large
curvatures. The laminate can be changed from
one stable configuration to the other by a
simple snap-through action. This situation offers
the opportunity to use shape memory alloys
(SMA) attached to the laminate to generate the
snap-through forces and change the shape of
the laminate on command. Presented is a
model which can predict SMA-induced
deformations in general unsymmetric laminates
and, particularly, the occurrence of the snap
through. First, a methodology is developed to
predict the deformations of flat general
unsymmetric epoxy-matrix composite laminates
as they are cooled from their elevated cure
temperature. Approximations to the strain fields
are used in the expression for the total potential
energy, and the Rayleigh-Ritz approach is used
to study equilibrium. To further study the
laminate deformations, finite-element analyses
are performed. Experimental results are
presented which confirm the predictions of the
developed theory and the finite-element
analyses regarding the existence of multiple
solutions and the magnitude of the
deformations. Results are compared with those
of several other investigators. Next, the
deformation behavior of general unsymmetric
laminates subjected to applied forces is
studied. The principle of virtual work is used to
derive the equilibrium equations relating the
laminate deformations to the applied forces. By
solving the equilibrium equations as a function
of the force level, relations between the
laminate deformations and the applied force are
derived, and the force level at which the
laminate changes shape is determined. Finally,
an existing SMA constitutive model is
implemented into the developed theory to
predict the deformations of simple structures to
SMA-induced forces. Experiments on a
narrow aluminium plate with an externally
attached SMA actuator are conducted. The
experimental results show good agreement with
the predictions from the developed theory.
Next, the deformation behavior of general
unsymmetric laminates subjected to SMA
actuators is predicted using the developed
theory. Experiments using SMA actuators to
generate the snap through of unsymmetric
laminates are conducted. Good correlation with
the developed theory is obtained.
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