Exact solution of thermal buckling and post buckling of composite and SMA hybrid composite beam by layerwise theory

Bayat, Yahya; Toussi, Hamid Ekhteraei

doi:10.1016/j.ast.2017.04.029

Cited by 33 publications

(5 citation statements)

References 24 publications

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“…Kabir and Tehrani [ 22 ] performed analytical investigations of thermo-mechanical buckling and postbuckling of symmetric SMAHC plates, and the influence of SMA activation temperature, SMA volume fraction and pre-strain on thermo-mechanical buckling and postbuckling behavior were also discussed. A closed-form solution was presented by Bayat and Toussi [ 23 ] to analyze the thermal buckling and postbuckling behavior of SMA wire-reinforced laminated composite beams. Fahim et al [ 24 ] developed a semianalytical model to investigate the bending response of SMA composite beams.…”

Section: Introductionmentioning

confidence: 99%

Computational Modeling and Parametric Analysis of SMA Hybrid Composite Plates under Thermal Environment

Stachiv

2023

Sensors

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This paper presents a coupled thermoelastic finite element formulation for static and dynamic analysis of composite laminated plates with embedded active shape memory alloy (SMA) wires, which accounts for both the phase transformation and the nonlinearity effects of SMA wires. The equations of motion are obtained by using Hamilton’s principle and first-order shear deformation theory (FSDT). Furthermore, based on Brinson’s one-dimensional phase transformation constitutive law, a novel coupled thermoelastic finite element model that enables analysis of the SMA hybrid composite (SMAHC) plate is developed. The accuracy and efficiency of the developed computational model for analysis of SMAHC plates are reinforced by comparing theoretical predictions with data available from the literature. The results of the numerical examples also show the ability of the proposed model to predict the thermal-mechanical behavior of SMAHC plates in accordance with SMA’s hysteresis behavior. In addition, based on the proposed model, the influence of temperature as well as SMA volume fraction, pre-strain value, boundary condition and layup sequence on the static bending and free vibration behavior of the SMAHC plates is investigated in detail. The results of parametric analysis show that the variations of both static deflection and natural frequency of the SMAHC plate over temperature exhibit a nonmonotonic behavior.

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Section: Introductionmentioning

confidence: 99%

Computational Modeling and Parametric Analysis of SMA Hybrid Composite Plates under Thermal Environment

Stachiv

2023

Sensors

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“…It was shown that SMA wires could play a key role in increasing buckling temperature and decreasing post‐buckling deflection. Bayat and Ekhteraei Toussi [ 27 ] developed an exact solution for thermal buckling and post‐buckling of composite beams with embedded SMA wires using layer‐wise (LW) theory and one‐dimensional Brinson's model. They comprehensively examined the effects of stacking sequence of layers, thickness to span ratio, degree of anisotropy, volume fraction, and pre‐strain of SMAs on the buckling temperature of composite beams.…”

Section: Introductionmentioning

confidence: 99%

A simple and efficient analytical model for the natural frequencies of sandwich plates made of flexible core and composite face sheets with embedded pre‐strained shape memory alloy wires

Kamarian

Song

2022

Polymer Composites

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Two main goals are followed in the present work. The first objective is the development of a simple analytical model based on piecewise low‐order shear deformation theory (PLSDT) for the natural frequencies of sandwich plates made of flexible core with temperature‐dependent mechanical properties and laminated composite face sheets with embedded pre‐strained shape memory alloy (SMA) wires. Brinson's model is applied in this research to estimate the recovery stress produced by SMAs. A comparative study is performed to show the ability of the proposed model to offer high solution accuracy at low computational costs. Specifically, the results of the present research exhibit less than a 2% difference from those obtained from the mixed LW/ESL models in the framework of Carrera's unified formulation (CUF). As the second goal, the influences of some parameters such as the pre‐strain of SMAs, the volume fraction of SMAs, and core thickness on the fundamental frequencies of SMA‐reinforced sandwich plates are examined. The results reveal that depending on the geometric parameters and operating temperature, SMAs may have constructive or destructive effects on the free vibration of sandwich plates.

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“…Based on an LW higher-order shear deformation theory (HSDT), Pandey and Pradyumna [39] developed a finite element method (FEM) for the static and dynamic analyses of FG sandwich plates. Bayat and Toussi [40] carried out thermal buckling and thermal postbuckling analyses of LC beams reinforced with shape memory alloy wires using a displacement-based LW theory. Based on the stationary principle of minimum potential energy [41,42] combined with the Lagrange multiplier method, Wu and Kuo [43] and Wu and Chen [44] developed a mixed LW HSDT for the bending, free vibration, and buckling behavior of LC plates.…”

Section: Introductionmentioning

confidence: 99%

Multi-Objective Optimization of Functionally Graded Beams Using a Genetic Algorithm with Non-Dominated Sorting

2021

J. Compos. Sci.

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A mixed layer-wise (LW) higher-order shear deformation theory (HSDT) is developed for the thermal buckling analysis of simply-supported, functionally graded (FG) beams subjected to a uniform temperature change. The material properties of the FG beam are assumed to be dependent on the thickness and temperature variables, and the effective material properties are estimated using either the rule of mixtures or the Mori–Tanaka scheme. The results shown in the numerical examples indicate the mixed LW HSDT solutions for critical temperature change parameters are in excellent agreement with the accurate solutions available in the literature. A multi-objective optimization of FG beams is presented to maximize the critical temperature change parameters and to minimize their total mass using a non-dominated sorting-based genetic algorithm. Some specific forms for the volume fractions of the constituents of the FG beam are assumed in advance, such as the one- and three-parameter power-law functions. The former is used in the thermal buckling analysis of the FG beams for comparison purposes, and the latter is used in their optimal design.

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Exact solution of thermal buckling and post buckling of composite and SMA hybrid composite beam by layerwise theory

Cited by 33 publications

References 24 publications

Computational Modeling and Parametric Analysis of SMA Hybrid Composite Plates under Thermal Environment

Computational Modeling and Parametric Analysis of SMA Hybrid Composite Plates under Thermal Environment

A simple and efficient analytical model for the natural frequencies of sandwich plates made of flexible core and composite face sheets with embedded pre‐strained shape memory alloy wires

Multi-Objective Optimization of Functionally Graded Beams Using a Genetic Algorithm with Non-Dominated Sorting

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