Large Amplitude Hygrothermal Dependent Frequency and Post-Buckling Behaviour of Smart Skew Sandwich Shell Panels -A Macromechanical FE Approach 


Vol. 23,  No. 11, pp. 3241-3267, Nov.  2022
10.1007/s12221-022-0353-6


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  Abstract

The large geometrical distortion effect on the skew sandwich panel and improvement of the eigenvalue responses due to the embedded functional material (shape memory alloy, SMA) is investigated for the first time in this research. The structural responses are numerically predicted via a macro-mechanical nonlinear finite element model with the alternating elastic constants due to the change in environmental conditions. The nonlinear formulation is derived mathematically via third-order deformation kinematics including the through-thickness elongations. Moreover, the large geometrical shape changes of the skew sandwich shell panels are described by Green-Lagrange strain whereas the material nonlinearity due to the functional fibre inclusion modelled through the step-wise temperature-dependent properties of the individual panel constituents (face skins, core and SMA fibre). The proposed macro-mechanical material model is helping to evaluate the composite sandwich properties due to the variation of hygrothermal environment. The eigenvalue type of system equation is derived through variation principle with and without excess geometrical alteration and solved via the robust Picard셲 iteration technique in association with nonlinear finite element steps. The marching technique is adopted to include the material nonlinearity within the mathematical model to include the variation of SMA elastic properties (volume fraction, pre-strain and blocking stress). The viability of the proposed model to compute the responses are tested by checking a few examples considering the curvature parameter, layer sequence, SMA layer and the environmental changes. Additionally, it is extended to figure out the influences of individual and combined cases of parameters on the nonlinear frequency and buckling characteristics of SMA bonded sandwich shell panel with and without skew angle.

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  Cite this article

[IEEE Style]

P. V. Katariya, S. K. Panda, C. K. Hirwani, "Large Amplitude Hygrothermal Dependent Frequency and Post-Buckling Behaviour of Smart Skew Sandwich Shell Panels -A Macromechanical FE Approach," Fibers and Polymers, vol. 23, no. 11, pp. 3241-3267, 2022. DOI: 10.1007/s12221-022-0353-6.

[ACM Style]

Pankaj V. Katariya, Subrata Kumar Panda, and Chetan Kumar Hirwani. 2022. Large Amplitude Hygrothermal Dependent Frequency and Post-Buckling Behaviour of Smart Skew Sandwich Shell Panels -A Macromechanical FE Approach. Fibers and Polymers, 23, 11, (2022), 3241-3267. DOI: 10.1007/s12221-022-0353-6.