New mixed finite elements for the discretization of piezoelectric structures or macro-fiber composites
2018 ◽
Vol 29
(16)
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pp. 3266-3283
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Keyword(s):
We propose a new three-dimensional formulation based on the mixed tangential-displacement normal-normal-stress method for elasticity. In elastic tangential-displacement normal-normal-stress elements, the tangential component of the displacement field and the normal component of the stress vector are degrees of freedom and continuous across inter-element interfaces. Tangential-displacement normal-normal-stress finite elements have been shown to be locking-free with respect to shear locking in thin elements, which makes them suitable for the discretization of laminates or macro-fiber composites. In the current paper, we extend the formulation to piezoelectric materials by adding the electric potential as degree of freedom.
2011 ◽
Vol 21
(08)
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pp. 1761-1782
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1991 ◽
Vol 58
(4)
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pp. 1015-1020
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2010 ◽
Vol 92
(6)
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pp. 1524-1534
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2000 ◽
Vol 20
(3)
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pp. 461-480
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1997 ◽
Vol 07
(07)
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pp. 935-955
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2012 ◽
Vol 16
(4)
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pp. 1101-1124
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Keyword(s):
2003 ◽
Vol 45
(5)
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pp. 813-830
Keyword(s):
1987 ◽
Vol 60
(2)
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pp. 195-216
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2008 ◽
Vol 46
(1)
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pp. 88-102
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