Numerical Solution of Multiphysics Large Deflection Plates for Ionic Polymeric Artificial Muscle Applications

Author(s):  
J. G. Michopoulos

Recent advances in the manufacturing of new materials that can by activated by multifield excitation have introduced the need for modeling their multiphysics behavior. In responding to this need the special case of electric multihygrothermoelasticity is being considered as the closest multiphysics theory for modeling the behavior electro-hygrothermo-elasto-active materials utilized in artificial muscle applications. Furthermore, the system of governing partial differential equations describing the state evolution of large deflection plates made from such materials is derived as a twodimensional specialization of the above mentioned theory. These electro-hygro-thermally modified Von-Karman nonlinear equations are solved numerically through an adaptive finite element approach and preliminary results are presented for the case of a rectangular ionic polymeric material plate under various boundary conditions. Finally, various issues associated with the regimes of applicability of this theory and approach are also presented.

Author(s):  
Gustavo C. Buscaglia ◽  
Ricardo Dur�n ◽  
Eduardo A. Fancello ◽  
Ra�l A. Feij�o ◽  
Claudio Padra

2013 ◽  
Vol 194 (2) ◽  
pp. 700-718 ◽  
Author(s):  
Zhengyong Ren ◽  
Thomas Kalscheuer ◽  
Stewart Greenhalgh ◽  
Hansruedi Maurer

1999 ◽  
Vol 47 (3) ◽  
pp. 611-642 ◽  
Author(s):  
V.B. Shenoy ◽  
R. Miller ◽  
E.b. Tadmor ◽  
D. Rodney ◽  
R. Phillips ◽  
...  

1965 ◽  
Vol 7 (1) ◽  
pp. 28-32 ◽  
Author(s):  
D. J. Dawe

A method of computing the natural frequencies of vibration of flat plates of arbitrary shape is outlined in which the plate is considered as an assemblage of elements. Both stiffness and inertia matrices are derived for a rectangular isotropic plate element of uniform thickness, and these matrices are used to find the natural frequencies of square plates subject to various boundary conditions. Comparison of finite element frequencies with known exact, experimental and energy solutions shows the method to give good results even for relatively few elements.


Author(s):  
M. Shahinpoor

Reported are advances made in connection with modeling of ionic polymeric metal composite (IPMC) plates undergoing large deformation under an imposed dynamic electric field. Analysis, design and prototyping of sensing or/and actuating plates made with IPMCs requires analytical models of the utilized materials and structures. This paper presents recent advances made towards the development of a computational implementation of a general theory for describing such systems in a way that allows accurate prediction of their behavior within their state space. Continuum mechanics, irreversible thermodynamics, and electrodynamics are utilized to derive the general four dimensional multi-physics field equations of materials used for artificial muscle applications. These applications are particularly important in terms of creating data sheets, thin data keyboards as well as flat speakers made with IPMC plates. The system of governing partial differential equations describing the state evolution of large deflection IPMC plates is derived. The system of these electro-hygro-thermally modified Von-Karman non-linear equations are solved numerically through an adaptive finite element approach through perspectives of geometrical and material nonlinearities. The preliminary results are presented for the case of finite deformation of an IPMC plate.


1993 ◽  
Vol 15 (5) ◽  
pp. 401-408 ◽  
Author(s):  
P.F. Hübsch ◽  
J. Middleton ◽  
J.S. Rees ◽  
P.H. Jacobsen

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