2016
DOI: 10.1007/s00466-016-1356-1
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Monolithic formulation of electromechanical systems within the context of hybrid finite elements

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Cited by 12 publications
(4 citation statements)
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“…The key notion is the choice and evaluation of stress interpolation functions which is inspired from the work of Jog [29,30] in context of conventional FEA framework. The efficient FE implementation of the stated approach for large-deformation contact mechanics [2], structural acoustics [32], electromagnetic analysis [31], analysis of electromechanical systems [1], and coupled fluid-structure problem [38] confirms the effectiveness and robustness of the method. In the present study, the systematic evaluation of stress interpolation functions specific to the NURBS interpolations and its effective implementation in a two-dimensional linear elasticity regime is investigated.…”
Section: Introductionmentioning
confidence: 86%
See 1 more Smart Citation
“…The key notion is the choice and evaluation of stress interpolation functions which is inspired from the work of Jog [29,30] in context of conventional FEA framework. The efficient FE implementation of the stated approach for large-deformation contact mechanics [2], structural acoustics [32], electromagnetic analysis [31], analysis of electromechanical systems [1], and coupled fluid-structure problem [38] confirms the effectiveness and robustness of the method. In the present study, the systematic evaluation of stress interpolation functions specific to the NURBS interpolations and its effective implementation in a two-dimensional linear elasticity regime is investigated.…”
Section: Introductionmentioning
confidence: 86%
“…Moreover, with a comparative perspective, the IGA or proposed hybrid IGA performs superior to its FEA or hybrid FEA counterpart. In the second case, the nearly incompressible behavior is investigated by setting the Poisson's ratio close to the value 1 2 . The convergence curves specific to = 0.4999 are presented in the Figure 14b.…”
Section: Infinite Plate With a Hole Problemmentioning
confidence: 99%
“…Vector field problems require a special type of formulations due to their special continuity requirements at material interfaces. In [25,4,27,1,26], the potential formulation is used in nodal framework. But this potential formulation failed in eliminating the problem of spurious eigenvalues in sharp corner objects.…”
Section: Introductionmentioning
confidence: 99%
“…These methods solve the problem partially by pushing the spurious mode to the higher end of the spectrum. In order to capture singular eigen value in case of sharp edges and corners, in the regularization method we have to use a penalty parameter varying from 0 at the sharp edge to 1 at a large distance from the sharp edge.Also, in order to take care of inherent tangential continuity and normal discontinuity across material interface, potential formulation is used in nodal finite element framework [24], [4], [26], [1], [25]. In [19], a two field variation formulation in electromagnetics which can predict the eigen frequencies very accurately with correct multiplicities.…”
Section: Introductionmentioning
confidence: 99%