Stochastic Thermal Post Buckling Response of Elastically Supported Laminated Piezoelectric Composite Plate Using Micromechanical approach
In this paper, second order statistics of thermally induced post buckling response of elastically supported piezoelectric laminated composite plate using micromechanical approach is examined. A Co finite element has been used for deriving eigenvalue problem using higher order shear deformation theor...
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2015-07-01
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| Series: | Curved and Layered Structures |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/cls.2015.2.issue-1/cls-2015-0019/cls-2015-0019.xml?format=INT |
| _version_ | 1819212590168932352 |
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| author | Lal Achchhe Kulkarni Nikhil M. Singh B.N. |
| author_facet | Lal Achchhe Kulkarni Nikhil M. Singh B.N. |
| author_sort | Lal Achchhe |
| collection | DOAJ |
| description | In this paper, second order statistics of thermally
induced post buckling response of elastically supported
piezoelectric laminated composite plate using micromechanical
approach is examined. A Co finite element has
been used for deriving eigenvalue problem using higher
order shear deformation theory (HSDT) with von-Karman
nonlinearity. The uncertain system properties such as material
properties of fiber and matrix of composite and
piezoelectric, fiber volume fraction, plate thickness, lamination
angle and foundation are modeled as random variables.
The temperature field considered to be uniform temperature
distributions through the plate thickness. A direct
iterative based nonlinear finite element method combined
with mean-centered second order perturbation technique
(SOPT) is used to find the mean and coefficient of
variance of the post buckling temperature. The effects of
volume fraction, fiber orientation, and length to thickness
ratio, aspect ratios, foundation parameters, position and
number of piezoelectric layers, amplitude and boundary
conditions with random system properties on the critical
temperature are analysed. It is found that small amount
of variations of uncertain system parameters of the composite
plate significantly affect the initial and post buckling
temperature of laminated composite plate. The results
have been validated with independent Monte Carlo simulation
(MCS) and those available in literature. |
| first_indexed | 2024-12-23T06:45:23Z |
| format | Article |
| id | doaj.art-9f8ece1b50304d14a92b1dadd5c5eeb0 |
| institution | Directory Open Access Journal |
| issn | 2353-7396 |
| language | English |
| last_indexed | 2024-12-23T06:45:23Z |
| publishDate | 2015-07-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Curved and Layered Structures |
| spelling | doaj.art-9f8ece1b50304d14a92b1dadd5c5eeb02022-12-21T17:56:36ZengDe GruyterCurved and Layered Structures2353-73962015-07-012110.1515/cls-2015-0019cls-2015-0019Stochastic Thermal Post Buckling Response of Elastically Supported Laminated Piezoelectric Composite Plate Using Micromechanical approachLal Achchhe0Kulkarni Nikhil M.1Singh B.N.2Department of Mechanical Engineering, SVNIT Surat-395007, IndiaDepartment of Mechanical Engineering, SVNIT Surat-395007, IndiaDepartment of Aerospace Engineering, IIT, Kharagpur- 721302, IndiaIn this paper, second order statistics of thermally induced post buckling response of elastically supported piezoelectric laminated composite plate using micromechanical approach is examined. A Co finite element has been used for deriving eigenvalue problem using higher order shear deformation theory (HSDT) with von-Karman nonlinearity. The uncertain system properties such as material properties of fiber and matrix of composite and piezoelectric, fiber volume fraction, plate thickness, lamination angle and foundation are modeled as random variables. The temperature field considered to be uniform temperature distributions through the plate thickness. A direct iterative based nonlinear finite element method combined with mean-centered second order perturbation technique (SOPT) is used to find the mean and coefficient of variance of the post buckling temperature. The effects of volume fraction, fiber orientation, and length to thickness ratio, aspect ratios, foundation parameters, position and number of piezoelectric layers, amplitude and boundary conditions with random system properties on the critical temperature are analysed. It is found that small amount of variations of uncertain system parameters of the composite plate significantly affect the initial and post buckling temperature of laminated composite plate. The results have been validated with independent Monte Carlo simulation (MCS) and those available in literature.http://www.degruyter.com/view/j/cls.2015.2.issue-1/cls-2015-0019/cls-2015-0019.xml?format=INTMicromechanical Composite laminated plate Thermal buckling Uncertainty FoundationPiezoelectric Perturbation |
| spellingShingle | Lal Achchhe Kulkarni Nikhil M. Singh B.N. Stochastic Thermal Post Buckling Response of Elastically Supported Laminated Piezoelectric Composite Plate Using Micromechanical approach Curved and Layered Structures Micromechanical Composite laminated plate Thermal buckling Uncertainty Foundation Piezoelectric Perturbation |
| title | Stochastic Thermal Post Buckling Response of
Elastically Supported Laminated Piezoelectric
Composite Plate Using Micromechanical approach |
| title_full | Stochastic Thermal Post Buckling Response of
Elastically Supported Laminated Piezoelectric
Composite Plate Using Micromechanical approach |
| title_fullStr | Stochastic Thermal Post Buckling Response of
Elastically Supported Laminated Piezoelectric
Composite Plate Using Micromechanical approach |
| title_full_unstemmed | Stochastic Thermal Post Buckling Response of
Elastically Supported Laminated Piezoelectric
Composite Plate Using Micromechanical approach |
| title_short | Stochastic Thermal Post Buckling Response of
Elastically Supported Laminated Piezoelectric
Composite Plate Using Micromechanical approach |
| title_sort | stochastic thermal post buckling response of elastically supported laminated piezoelectric composite plate using micromechanical approach |
| topic | Micromechanical Composite laminated plate Thermal buckling Uncertainty Foundation Piezoelectric Perturbation |
| url | http://www.degruyter.com/view/j/cls.2015.2.issue-1/cls-2015-0019/cls-2015-0019.xml?format=INT |
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