Thermoelastic buckling analysis of laminated piezoelectric composite plates

Panahandeh-Shahraki, Danial; Mirdamadi, Hamid Reza; Vaseghi, Omid

doi:10.1007/s10999-014-9284-8

Cited by 10 publications

(7 citation statements)

References 36 publications

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“…Concerning such stability problems, including the study of the post-buckling behavior, a vast amount of literature is available in the related problems of thermoelasticity (e.g. Ziegler and Rammerstorfer, 1989; Stanciulescu et al, 2012) and piezoelasticity (Varelis and Saravanos, 2002; Panahandeh et al, 2015; Krommer and Irschik, 2015). For structural stability problems in dielectric elastomers, we mention Klinkel et al (2013) for the buckling of a clamped single-layer dielectric elastomer actuator and Zhou et al (2013) for the discussion of the failure of a dielectric elastomer plate actuator, if boundary constraints are considered.…”

Section: Introductionmentioning

confidence: 99%

Finite deformations of thin plates made of dielectric elastomers: Modeling, numerics, and stability

Staudigl

Krommer

Vetyukov

2017

Journal of Intelligent Material Systems and Structures

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In this article, we present a nonlinear theory for thin plates, which are made of incompressible electroded dielectric elastomer layers. The layers are assumed to exhibit a neo-Hookean elastic behavior, and the effect of the electrostatic forces is taken into account by means of the electrostatic stress tensor. A plane state of stress is imposed on the total stress tensor, based on which two-dimensional constitutive relations for the plate are derived. A geometrically nonlinear formulation for the plate as a material surface is devloped, and solutions are computed using nonlinear finite elements. The numerical results are compared to available results from the literature verifying our approach, and an additional nonsymmetric example problem is studied with respect to stability.

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Section: Introductionmentioning

confidence: 99%

Finite deformations of thin plates made of dielectric elastomers: Modeling, numerics, and stability

Staudigl

Krommer

Vetyukov

2017

Journal of Intelligent Material Systems and Structures

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“…There are also many studies demonstrating the use of piezoelectric actuators to alleviate buckling due to thermal loading. Panahandeh-Shahraki et al (2014) show that thermal buckling of laminated piezoelectric composite plates could be postponed by both applying a negative voltage to actuators and by positioning these actuators further from the mid-plane of the structure. Yazdani et al (2011) derived an exact analytical solution for determining the critical buckling temperature of composite beams with piezoelectric layers under various boundary conditions using first-order beam theory with a non-linear strain-displacement relation.…”

Section: Introductionmentioning

confidence: 99%

The phenomenon of sling-shot buckling in stacked piezoelectric structures

Pavlou

Bottega

2015

Journal of Intelligent Material Systems and Structures

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The behavior of stacked structures consisting of two centrally adhered beam-plates of different lengths and piezoelectric materials is studied for the case when they are subjected to a uniform electric field. A variational formulation is presented based on the properties of the individual substructures, and yields the self-consistent governing equations and constitutive relations for the piezoelectric laminate, as well as the associated boundary and matching conditions. The stability of equilibrium configurations is assessed through evaluation of the second variation of the potential energy under perturbation. The resulting stability function, together with the total potential energy, admits prediction of the behavior of the structure under a changing electric field. A closed form analytical solution is obtained, and numerical simulations based on this solution are presented which reveal the characteristic behavior of the piezoelectric laminate. A critical electric field is identified analytically, and it is shown that stacked structures comprised of certain combinations of piezoelectric materials exhibit sling-shot buckling (an instability where the deflection of the structure dynamically slings from one direction to the opposite direction) when the critical electric field is achieved. A parameter study demonstrates the dependence of the critical electric field on the geometric and material properties of the system.

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“…The formulations used are both linear and nonlinear to simulate the buckling of structures. Using piezoelectric layers, Panahandeh-Shahraki et al (2015) worked on thermoplastic buckling to control the critical load. They considered the effects of thermal and electrical fields in their investigation.…”

Section: Introductionmentioning

confidence: 99%

Best pattern for locating piezoelectric patches on a plate for maximum critical buckling loads, using particle swarm optimization algorithm

Fesharaki

Dehkordi

Zohari

et al. 2018

Journal of Intelligent Material Systems and Structures

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Locating piezoelectric patches on structures under compressive forces as a sensor or actuator can predict or increase the buckling load of the structure. In this article, using particle swarm optimization algorithm, the location and pattern of piezoelectric patches on a plate to achieve maximum buckling load are investigated. For boundary condition of the plate, four different conditions are considered. The piezoelectric patches have more effect on critical buckling load for Clamp-Free condition and less effect for Clamp-Clamp condition. The voltage of patches has a linear effect on increasing the maximum critical buckling load. The results show that locating piezoelectric patches near the clamp edge has more influence on critical load than locating the patches near the simply support or free edge. The results in this article are validated by comparing to the results reported in the previous publication.

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Thermoelastic buckling analysis of laminated piezoelectric composite plates

Cited by 10 publications

References 36 publications

Finite deformations of thin plates made of dielectric elastomers: Modeling, numerics, and stability

Finite deformations of thin plates made of dielectric elastomers: Modeling, numerics, and stability

The phenomenon of sling-shot buckling in stacked piezoelectric structures

Best pattern for locating piezoelectric patches on a plate for maximum critical buckling loads, using particle swarm optimization algorithm

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