2013
DOI: 10.7763/ijmmm.2013.v1.69
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Employing Adaptive Finite Elements to Model Squeezing of a Layered Material in 3D

Abstract: Abstract-In this paper we employ 3D hp-adaptive finite element method (hp-FEM) to model the behavior of a squeezed layered material. Under a moderate pressure, the linear elasticity model can be used to imitate the process. Thanks to hp-adaptivity, only the regions where the error rate is high are refined, making sure that all peculiarities are automatically localized.Index Terms-Finite element method, hp adaptivity, linear elasticity.

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Cited by 4 publications
(5 citation statements)
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“…The proposal to modify the GFRP vessels in their construction [7] by inserting viscoelastic layers is to protect them from the destructive action of slamming and prolong their useful life by decreasing the maintenance and repair times. In fig.…”
Section: Fig 1 Different Routes In the Galapagos Islandsmentioning
confidence: 99%
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“…The proposal to modify the GFRP vessels in their construction [7] by inserting viscoelastic layers is to protect them from the destructive action of slamming and prolong their useful life by decreasing the maintenance and repair times. In fig.…”
Section: Fig 1 Different Routes In the Galapagos Islandsmentioning
confidence: 99%
“…However, when inserting the viscoelastic layers, the propagation of the impact is damped between the layers, decreasing the damage to the polymeric matrix. The impact is converted into damage energy, and it is transformed into energy absorbed by the viscoelastic material [7].…”
Section: Fig 1 Different Routes In the Galapagos Islandsmentioning
confidence: 99%
See 1 more Smart Citation
“…Each iteration of this algorithm requires solving the linear elasticity on two meshes, each in O ( n 2 ) asymptotic time with n being proportional to the number of finite elements. Previous experiments show that usually a few initial steps of the finite element algorithm focus on reproducing the material structure with the computational mesh, regardless of the boundary problem solved. This observation leads to the question, whether these iterations could be replaced with a less expensive pre‐processing.…”
Section: Proposed Workflow Improvementmentioning
confidence: 99%
“…A combination of experiments [1], analytical modeling [4], and numerical modeling techniques through finite element method with adaptive mesh refinement [5,6] have been used to study various properties of piezoelectric composites. On the basis of the analytical modeling approach, parallel or series micromechanical models, various Homogenization techniques and Esheby's technique for ellipsoidal inclusions have been used.…”
Section: Introductionmentioning
confidence: 99%