Thermo-mechanical behavior of shape adaptive composite plates with surface-bonded shape memory alloy ribbons. (January 2015)

• Record Type: Journal Article
• Authors: Bodaghi, M.; Shakeri, M.; Aghdam, M.M.
• Is Part Of: Composite structures. Volume 119(2015)
• Page Start: 115
• Page End: 133
• Publication Date: 2015-01
• Subjects: Shape memory alloy -- Martensitic transformation -- Smart composite plate -- Thermo-mechanical analysis -- Finite element solution; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2014.08.027
• Languages: English
• ISSNs: 0263-8223

Abstract

Abstract: 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.