FE Analysis of Piezo-Laminate Composites Under Thermal Loads

Bansal, Akanksha; Ramaswamy, Ananth

doi:10.1177/104538902761696760

Cited by 11 publications

(7 citation statements)

References 26 publications

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“…Our approach is clearly associated with the last item and in this field, we can point out a first family of electric potential approximations, see Suleman and Venkayya [10], Correia et al [7], Bansal and Ramaswamy [11], Mukherjee and Joshi [12], using only one dof for each piezoelectric lamina. Unfortunately, this layerwise approximation is not efficient for all situations as it will be seen later.…”

Section: Introductionmentioning

confidence: 99%

Electric potential approximations for an eight node plate finite element

Polit¹,

Bruant²

2006

Computers & Structures

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The aim of this work is to develop a computational tool for multilayered piezoelectric plates: a low cost tool, simple to use and very efficient for both convergence velocity and accuracy, without any classical numerical pathologies. In the field of finite elements, two approaches were previously used for the mechanical part, taking into account the transverse shear stress effects and using only five unknown generalized displacements: C 0 finite element approximation based on first-order shear deformation theories (FSDT) [Polit O, Touratier M, Lory P. A new eight-node quadrilateral shear-bending plate finite element. Int J Numer Meth Eng 1994;37:387-411] and C 1 finite element approximations using a high order shear deformation theory (HSDT) [Polit O, Touratier M. High order triangular sandwich plate finite element for linear and nonlinear analyses. Comput Meth Appl Mech Eng 2000;185:305-24].In this article, we present the piezoelectric extension of the FSDT eight node plate finite element. The electric potential is approximated using the layerwise approach and an evaluation is proposed in order to assess the best compromise between minimum number of degrees of freedom and maximum efficiency. On one side, two kinds of finite element approximations for the electric potential with respect to the thickness coordinate are presented: a linear variation and a quadratic variation in each layer. On the other side, the in-plane variation can be quadratic or constant on the elementary domain at each interface layer. The use of a constant value reduces the number of unknown electric potentials. Furthermore, at the post-processing level, the transverse shear stresses are deduced using the equilibrium equations.Numerous tests are presented in order to evaluate the capability of these electric potential approximations to give accurate results with respect to piezoelasticity or finite element reference solutions. Finally, an adaptative composite plate is evaluated using the best compromise finite element.

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Section: Introductionmentioning

confidence: 99%

Electric potential approximations for an eight node plate finite element

Polit¹,

Bruant²

2006

Computers & Structures

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“…Example 1. In this example a plate with dimensions of 25.4 mm 3 × 25.4 mm 3 × 1.27 mm 3 and with the layers of [0/90/±45/p] s composed of carbon/graphite with attached piezoceramic layer under temperature gradient is investigated and the results compared with the data reported by Bansal et al [23] (Fig. 2).…”

Section: Numerical Results and Discussion 41 Comparison Studymentioning

confidence: 62%

Optimum response of functionally graded piezoelectric plates in thermal environments

Nourmohammadi

Behjat

2017

Materials Science-Poland

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In this article, the static response of the functionally graded piezoelectric (FGP) plates with piezoelectric layers (sandwich FGPM) is studied based on the first order shear deformation plate theory. The plate is under mechanical, electrical and thermal loadings and finite element method is employed to obtain the solution of the equation. All mechanical, thermal and piezoelectric properties, except Poisson ratio, obey the power law distribution through the thickness. By solving the governing equation, optimum value of power law index is investigated in each type of loading. The effects of different volume fraction index, layer arrangements, various boundary conditions and different loading types, are studied on the deflection of FGPM plate. It is inferred that, the correlations between the deflection, power law index and layer arrangement are completely different in the mechanical and thermal loading and the optimum value of the power law index should be selected in each case separately. This optimum values can be used as a design criterion to build a reliable sensors and actuators in thermal environments.

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“…In the previous section, the finite element approximations for the mechanical part were defined and elementary stiffness ½K e uu and mass ½M e uu matrices can be deduced from respectively Eqs. (10) and (11). They have the following expressions:…”

Section: The Elementary Matricesmentioning

confidence: 99%

Electric Potential Approximations for an Eight Node Plate Finite Element

Polit¹,

Bruant²

Civil-Comp Proceedings

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FE Analysis of Piezo-Laminate Composites Under Thermal Loads

Cited by 11 publications

References 26 publications

Electric potential approximations for an eight node plate finite element

Electric potential approximations for an eight node plate finite element

Optimum response of functionally graded piezoelectric plates in thermal environments

Electric Potential Approximations for an Eight Node Plate Finite Element

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