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Asymptotic modelling of a thermopiez...

Long, Yufei.

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Asymptotic modelling of a thermopiezoelastic anisotropic smart plate.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Asymptotic modelling of a thermopiezoelastic anisotropic smart plate./
作者:	Long, Yufei.
面頁冊數:	109 p.
附註:	Source: Masters Abstracts International, Volume: 55-01.
Contained By:	Masters Abstracts International55-01(E).
標題:	Aerospace engineering. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1598038
ISBN:	9781339022581

Asymptotic modelling of a thermopiezoelastic anisotropic smart plate.
Long, Yufei.

Asymptotic modelling of a thermopiezoelastic anisotropic smart plate. - 109 p.

Source: Masters Abstracts International, Volume: 55-01.

Thesis (M.S.A.A.)--Purdue University, 2015.

Motivated by the requirement of modelling for space flexible reflectors as well as other applications of plate structures in engineering, a general anisotropic laminated thin plate model and a monoclinic Reissner-Mindlin plate model with thermal deformation, two-way coupled piezoelectric effect and pyroelectric effect is constructed using the variational asymptotic method, without any ad hoc assumptions. Total potential energy contains strain energy, electric potential energy and energy caused by temperature change. Three-dimensional strain field is built based on the concept of warping function and decomposition of the rotation tensor. The feature of small thickness and large in-plane dimension of plate structure helped to asymptotically simplify the three-dimensional analysis to a two-dimensional analysis on the reference surface and a one-dimensional analysis through the thickness.

ISBN: 9781339022581Subjects--Topical Terms:

1002622
Aerospace engineering.

Asymptotic modelling of a thermopiezoelastic anisotropic smart plate.
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100 1 $a Long, Yufei. $3 3277494
245 1 0 $a Asymptotic modelling of a thermopiezoelastic anisotropic smart plate.
300 $a 109 p.
500 $a Source: Masters Abstracts International, Volume: 55-01.
500 $a Adviser: Wenbin Yu.
502 $a Thesis (M.S.A.A.)--Purdue University, 2015.
520 $a Motivated by the requirement of modelling for space flexible reflectors as well as other applications of plate structures in engineering, a general anisotropic laminated thin plate model and a monoclinic Reissner-Mindlin plate model with thermal deformation, two-way coupled piezoelectric effect and pyroelectric effect is constructed using the variational asymptotic method, without any ad hoc assumptions. Total potential energy contains strain energy, electric potential energy and energy caused by temperature change. Three-dimensional strain field is built based on the concept of warping function and decomposition of the rotation tensor. The feature of small thickness and large in-plane dimension of plate structure helped to asymptotically simplify the three-dimensional analysis to a two-dimensional analysis on the reference surface and a one-dimensional analysis through the thickness.
520 $a For the zeroth-order approximation, the asymptotically correct expression of energy is derived into the form of energetic equation in classical laminated plate theory, which will be enough to predict the behavior of plate structures as thin as a space flexible reflector. A through-the-thickness strain field can be expressed in terms of material constants and two-dimensional membrane and bending strains, while the transverse normal and shear stresses are not predictable yet. In the first-order approximation, the warping functions are further disturbed into a high order and an asymptotically correct energy expression with derivatives of the two-dimensional strains is acquired. For the convenience of practical use, the expression is transformed into a Reissner-Mindlin form with optimization implemented to minimize the error. Transverse stresses and strains are recovered using the in-plane strain variables.
520 $a Several numerical examples of different laminations and shapes are studied with the help of analytical solutions or shell elements in finite element codes. The constitutive relation is validated by the excellent agreement between the results from three-dimensional finite element analyses and the presented model for both thin plates using zeroth-order approximation and thick plates using first-order approximation.
590 $a School code: 0183.
650 4 $a Aerospace engineering. $3 1002622
650 4 $a Mechanics. $3 525881
690 $a 0538
690 $a 0346
710 2 $a Purdue University. $b Aeronautics and Astronautics. $3 1035670
773 0 $t Masters Abstracts International $g 55-01(E).
790 $a 0183
791 $a M.S.A.A.
792 $a 2015
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1598038