Thermo-mechanical behavior of shape adaptive composite plates with surface-bonded shape memory alloy ribbons

In this paper, thermo-mechanical analysis of rectangular shape adaptive composite plates with surface-bonded shape memory alloy (SMA) ribbons is introduced. A robust phenomenological constitutive model is implemented to predict main features of SMA ribbons under dominant axial and transverse shear s...

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Bibliographic Details
Published in:Composite structures 2015-01, Vol.119, p.115-133
Main Authors: Bodaghi, M., Shakeri, M., Aghdam, M.M.
Format: Article
Language:English
Subjects:
Composite structures
Computer simulation
Finite element solution
Martensitic transformation
Martensitic transformations
Mathematical analysis
Mathematical models
Plates (structural members)
Ribbons
Shape memory alloy
Shape memory alloys
Smart composite plate
Thermo-mechanical analysis
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Summary:In this paper, thermo-mechanical analysis of rectangular shape adaptive composite plates with surface-bonded shape memory alloy (SMA) ribbons is introduced. A robust phenomenological constitutive model is implemented to predict main features of SMA ribbons under dominant axial and transverse shear stresses during non-proportional thermo-mechanical loadings. The model is capable of realistic simulations of martensite transformation/orientation, reorientation of martensite variants, shape memory effect, pseudo-elasticity and ferro-elasticity effects. A numerical process is addressed to solve the time-discrete counterpart of the model using an elastic-predictor inelastic-corrector return mapping algorithm. Considering small strains and moderately large rotations in the von Kármán sense, governing equations of equilibrium are derived based on the first-order shear deformation theory. A Ritz-based finite element method along with an iterative incremental strategy is developed to solve the governing equations of equilibrium with both material and geometrical non-linearities. The capability of the material and structural model is examined by a comparative study with numerical data available in the open literature for laminated SMA beams. Effects of the pre-strain state, temperature, length and arrangement of the SMA ribbon actuator are investigated, and their implications on the thermo-mechanical behavior of shape adaptive composite plates are put into evidence, and pertinent conclusions are outlined.
ISSN:0263-8223
1879-1085
DOI:10.1016/j.compstruct.2014.08.027