Nonlinear finite element analysis of functionally graded plates integrated with patches of piezoelectric fiber reinforced composite

Panda, Satyajit; Ray, M. C.

doi:10.1016/j.finel.2008.01.001

Cited by 57 publications

(18 citation statements)

References 37 publications

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“…Wave propagation and damping effects have been neglected in the present study, as it is done in the majority of works devoted to dynamic stability. In the present study, the classical laminate plate theory (CLPT) (Jones, 1999;Reddy, 2004) is employed to obtain the governing equations of the thin FG structure equilibrium (Kołakowski and Królak, 2006;Panda and Ray, 2008). For the plate component, precise geometrical relationships are assumed in order to enable consideration of both out-of-plane and in-plane bending of the plate (Kubiak, 2007(Kubiak, , 2013Teter, 2007Teter, , 2011; Kołakowski et al, 1999;Kołakowski, 2001, 2004 …”

Section: Formulation Of the Problemmentioning

confidence: 99%

Some aspects of dynamic coupled response of functionally graded thin-walled columns with square cross-sections under in-plane pulse compression

Kołakowski

Teter

2015

jtam

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The present paper deals with a dynamic coupled response of functionally graded columns with a quadratic cross-section subjected to an in-plane pulse loading. An Al-TiC metal--ceramic material is applied. It is assumed that functionally graded materials (FGMs) are subject to Hooke's law. The thin-walled structures are simply supported at the ends. This study is devoted to the stability problem of rectangular dynamic pulse load. The effects of temperature, wave propagation and damping are neglected. In order to obtain the equations of motion of individual plates, the classic laminate plate theory (CLPT) has been modified in such a way that it additionally accounts for all components of inertial forces. A plate model is adopted for the structures. The problem of an interaction of the global mode with the local ones is concerned (i.e., a three-modes approach). Attention has been focused on some unexpected aspects related to dynamic interactive buckling of columns having two axes of the cross-section symmetry. In the present study, a new approach to the description of this phenomenon, based on Koiter's theory, has been applied.

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Section: Formulation Of the Problemmentioning

confidence: 99%

Some aspects of dynamic coupled response of functionally graded thin-walled columns with square cross-sections under in-plane pulse compression

Kołakowski

Teter

2015

jtam

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“…The static bending, free vibration and transient responses of functionally graded piezoelectric plates under mechanical and electrical loads were investigated in [24] based on the FSDT, Hamilton's principle and the FEM. The FEM of functionally graded plates integrated with piezoelectric patches was presented in [25]. Dynamic analysis of functionally graded piezoelectric shell panel based on the three-dimensional elasticity theory was presented in [26,27].…”

Section: Introductionmentioning

confidence: 99%

Layerwise finite element piezoelasticity analysis of functionally graded shell panel integrated with piezoelectric actuator and sensor

Javanbakht

Mohammadian

2017

Scientia Iranica

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In the present study, a layerwise finite element method is utilized to solve the coupled elasticity and piezoelectricity equations to study a functionally graded shell panel integrated with piezoelectric layers under electromechanical loading. The system of equations is reduced to ordinary differential equations with variable coefficients by means of trigonometric function expansion in circumferential and longitudinal directions satisfying mechanical and electrical boundary conditions. These equations are solved using the Galerkin FEM and Newmark method.The results of stress, displacement and electrical potential are presented and the effect of panel thickness and applied voltage on the structural behavior is investigated.

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“…Due to the complexity of buckling problems of functionally graded plates under compound mechanical and thermal loads, the FEM is the only solution possible. Therefore, in the literature one can find many papers which present results of solutions to different problems of functionally graded structure buckling, obtained with an application of the FEM, for example [46][47][48].…”

Section: Introductionmentioning

confidence: 99%

Load carrying capacity of functionally graded columns with open cross-sections under static compression

Kołakowski

Teter

2015

Composite Structures

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Nonlinear finite element analysis of functionally graded plates integrated with patches of piezoelectric fiber reinforced composite

Cited by 57 publications

References 37 publications

Some aspects of dynamic coupled response of functionally graded thin-walled columns with square cross-sections under in-plane pulse compression

Some aspects of dynamic coupled response of functionally graded thin-walled columns with square cross-sections under in-plane pulse compression

Layerwise finite element piezoelasticity analysis of functionally graded shell panel integrated with piezoelectric actuator and sensor

Load carrying capacity of functionally graded columns with open cross-sections under static compression

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