Thermal buckling analysis and stacking sequence optimization of rectangular and skew shape memory alloy hybrid composite plates

Kamarian, Saeed; Shakeri, M.

doi:10.1016/j.compositesb.2017.01.059

Cited by 55 publications

(19 citation statements)

References 36 publications

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“…Therefore:

\begin{matrix} lefttrue \\ \{\begin{matrix} left \\ σ_{italicxx} \\ σ_{italicyy} \\ τ_{italicxy} \end{matrix}\} = [\begin{matrix} center \\ {\overset{Q}{true}}_{11} & {\overset{Q}{true}}_{12} & {\overset{Q}{true}}_{16} \\ {\overset{Q}{true}}_{12} & {\overset{Q}{true}}_{22} & {\overset{Q}{true}}_{26} \\ {\overset{Q}{true}}_{16} & {\overset{Q}{true}}_{26} & {\overset{Q}{true}}_{66} \end{matrix}] (\{\begin{matrix} left \\ ε_{italicxx} \\ ε_{italicyy} \\ γ_{italicxy} \end{matrix}\} - Δ T \{\begin{matrix} left \\ α_{italicxx} \\ α_{italicyy} \\ 2 α_{italicxy} \end{matrix}\}) + V_{s} σ^{r} \{\begin{matrix} left \\ {Cos}^{2} (θ^{k}) \\ {Sin}^{2} (θ^{k}) \\ Sin (θ^{k}) Cos (θ^{k}) \end{matrix}\} \\ \{\begin{matrix} left \\ τ_{italicyz} \\ τ_{italicxz} \end{matrix}\} = [\begin{matrix} center \\ {\overset{Q}{true}}_{44} & {\overset{Q}{true}}_{45} \\ {\overset{Q}{true}}_{45} & {\overset{Q}{true}}_{55} \end{matrix}] \{\begin{matrix} left \\ γ_{italicyz} \\ γ_{italicxz} \end{matrix}\} \end{matrix}

In the above relation,

{\overset{false¯}{Q}}_{ij}

, V s , σ r , α ij , and θ are the transfer coefficients of reduced stiffness, SMA volume fraction, recovery stress created by SMA wires, coefficients of thermal expansion (CTE), and angle of reinforcing fibers, respectively. [ 22 ] Furthermore, Δ T = T − T ...…”

Section: Formulationmentioning

confidence: 99%

“…Kabir and Tavousi Tehrani [ 21 ] studied the thermal, mechanical, and thermomechanical buckling and post‐buckling of symmetrical composite plates containing memory fibers. Kamarian and Shakeri [ 22 ] performed thermal buckling analysis and stacking sequence optimization of rectangular and skew composite plates reinforced by SMAs. Bayat and Ekhteraei Toussi [ 23 ] developed an analytical layer‐wise solution for analysis of nonlinear thermal instability of SMA‐reinforced composite beams under nonuniform temperature distribution.…”

Section: Introductionmentioning

confidence: 99%

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Thermal buckling of trapezoidal composite laminated plates with embedded shape memory alloys

2021

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The present work deals with thermal buckling of trapezoidal composite plates with embedded shape memory alloy (SMA) wires. In order to estimate the thermomechanical behavior of SMAs, Brinson's model is applied. The thermal buckling equations are derived based on first‐order shear deformation theory, and then solved by means of two‐dimensional generalized differential quadrature method. A parametric study is performed to demonstrate the influence of some parameters such as volume fraction and pre‐strain of SMA wires, the geometric properties, lay‐up configuration, as well as boundary conditions on the critical buckling temperature of trapezoidal composite plates. Numerical results state that the positive effects of SMA wires are restricted to a limited range of thickness and temperature. Results also show that SMA wires can play a destructive role in the thermal buckling behavior of trapezoidal plates, depending on the geometry of the structure, stacking sequence of layers, and boundary conditions.

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“…Therefore:

\begin{matrix} lefttrue \\ \{\begin{matrix} left \\ σ_{italicxx} \\ σ_{italicyy} \\ τ_{italicxy} \end{matrix}\} = [\begin{matrix} center \\ {\overset{Q}{true}}_{11} & {\overset{Q}{true}}_{12} & {\overset{Q}{true}}_{16} \\ {\overset{Q}{true}}_{12} & {\overset{Q}{true}}_{22} & {\overset{Q}{true}}_{26} \\ {\overset{Q}{true}}_{16} & {\overset{Q}{true}}_{26} & {\overset{Q}{true}}_{66} \end{matrix}] (\{\begin{matrix} left \\ ε_{italicxx} \\ ε_{italicyy} \\ γ_{italicxy} \end{matrix}\} - Δ T \{\begin{matrix} left \\ α_{italicxx} \\ α_{italicyy} \\ 2 α_{italicxy} \end{matrix}\}) + V_{s} σ^{r} \{\begin{matrix} left \\ {Cos}^{2} (θ^{k}) \\ {Sin}^{2} (θ^{k}) \\ Sin (θ^{k}) Cos (θ^{k}) \end{matrix}\} \\ \{\begin{matrix} left \\ τ_{italicyz} \\ τ_{italicxz} \end{matrix}\} = [\begin{matrix} center \\ {\overset{Q}{true}}_{44} & {\overset{Q}{true}}_{45} \\ {\overset{Q}{true}}_{45} & {\overset{Q}{true}}_{55} \end{matrix}] \{\begin{matrix} left \\ γ_{italicyz} \\ γ_{italicxz} \end{matrix}\} \end{matrix}

In the above relation,

{\overset{false¯}{Q}}_{ij}

Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal buckling of trapezoidal composite laminated plates with embedded shape memory alloys

2021

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“…For the case where the structure has two opposite simply supported and two opposite clamped boundary conditions, a semi analytical method is utilized using one-dimensional GDQ technique, as an efficient and powerful tool for solving partial differential equations. [38][39][40][41] Finally, for fully clamped sandwich plates, two-dimensional GDQ approach is implemented for the buckling analysis. Then, the influences of moisture content and temperature of environments on the critical buckling load of sandwich plates is comprehensively studied for different geometrical parameters and boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Hygrothermal effects on the buckling of soft‐core sandwich plates with composite layered face sheets

2020

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The present work attempts to investigate the influence of hygrothermal environments on the buckling of soft-core sandwich plates with laminated composite face sheets. The stability equations are derived based on piecewise low-order shear deformation theory (PLSDT) and then solved using different methods, depending on the boundary conditions. For fully simply supported sandwich plates, an analytical method is developed which results in some closed-form solutions. For sandwich plates with two parallel simply supported edges and two clamped edges, a semi-analytical solution is established using one-dimensional generalized differential quadrature (GDQ) technique. Finally, for fully clamped sandwich plates, twodimensional GDQ approach is applied to the governing equations. To validate the results of proposed methods, a comparative study with various examples is carried out verifying that the methods in the present work can accurately predict the buckling load of sandwich plates in hot and wet environments. Then, a comprehensive parametric study is performed to show the effects of temperature and moisture content on the buckling of sandwich plates for different parameters such as length-to-thickness ratio, core thickness, and boundary conditions. It is concluded that both temperature and moisture content have significant influences on the buckling behavior of sandwich plates.

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“…Smart composites incorporating SMA elements are now the focus of intense theoretical and experimental investigation (Asadi et al, 2016a(Asadi et al, , 2016bBodaghi et al, 2014;Dehkordi et al, 2016;Kamarian and Shakeri, 2017;Kim et al, 2014;Raghavan et al, 2010). In particular, the behavior of SMA-reinforced composite beams has been considered by Marfia et al (2003) and Solomou et al (2016).…”

Section: Introductionmentioning

confidence: 99%

Bending theory for laminated composite cantilever beams with multiple embedded shape memory alloy layers

Việt

Zaki

Umer

2019

Journal of Intelligent Material Systems and Structures

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In this article, a new analytical model is proposed for laminated composite cantilever beams consisting of multiple alternating superelastic shape memory alloy and elastic layers. The model is based on the Zaki–Moumni model for shape memory alloys combined with Timoshenko’s beam theory. The Zaki–Moumni model accounts for solid phase transformation as well as detwinning and reorientation of martensite under multiaxial thermomechanical loading conditions. Mathematical formulas are first derived to characterize the evolution of the solid phase structure within the beam with a prescribed load at the tip during loading and unloading. Analytical moment–curvature and shear force–shear strain relations are then obtained following the strength of materials approach. The present work is the first to fully develop the nonlinear expressions of the axial stress in terms of the distance from the neutral plane and to allow the description of the phase distribution in both the longitudinal and the transverse directions in the beam as the load evolves. The proposed model is validated against finite element analysis and high-accuracy numerical solutions. The influence of temperature and the number of shape memory alloy layers on the superelastic behavior of the laminate is also investigated.

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Thermal buckling analysis and stacking sequence optimization of rectangular and skew shape memory alloy hybrid composite plates

Cited by 55 publications

References 36 publications

Thermal buckling of trapezoidal composite laminated plates with embedded shape memory alloys

Thermal buckling of trapezoidal composite laminated plates with embedded shape memory alloys

Hygrothermal effects on the buckling of soft‐core sandwich plates with composite layered face sheets

Bending theory for laminated composite cantilever beams with multiple embedded shape memory alloy layers

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