Uncertain Inversion of Crack Parameters for Plates Based on the SmXFEM

ZHANG Li-xuan; QING Hong-jun; HU De-an

doi:10.3879/j.issn.1000-0887.2016.01.005

Volume 37 Issue 1

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ZHANG Li-xuan, QING Hong-jun, HU De-an. Uncertain Inversion of Crack Parameters for Plates Based on the SmXFEM[J]. Applied Mathematics and Mechanics, 2016, 37(1): 60-72. doi: 10.3879/j.issn.1000-0887.2016.01.005

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Uncertain Inversion of Crack Parameters for Plates Based on the SmXFEM

doi: 10.3879/j.issn.1000-0887.2016.01.005

Key Laboratory of Advanced Design and Simulation Technology for Special Equipments, Ministry of Education, Hunan University, Changsha 410082, P.R.China

Funds: The National Natural Science Foundation of China(11272118)

Received Date: 2015-09-21
Rev Recd Date: 2015-10-08
Publish Date: 2016-01-16

Abstract

Abstract

The crack parameters of positions and sizes are very important information for engineering monitoring. The smoothed extended finite element method (SmXFEM) was an effective method developed for the simulation of crack problems in recent years. The SmXFEM works well without high demand on the element quality, and gives accurate simulation results even with extremely irregular elements. The great advantages of the SmXFEM make it very suitable for automatic mesh generation of crack models in the real time calculation of crack inversion. An approach of uncertain inversion based on the SmXFEM was proposed to indentify the positions and sizes of straight cracks in elastic plane plates. In this approach, the SmXFEM, used to solve the forward problem of the crack model under tension, was called repeatedly by the genetic algorithm. Then an optimization model was established through measurement of the displacements of selected key nodes at the edge of the plate. Finally, with the elastic modulus and Poisson’s ratio as uncertain interval variables, the 1storder Taylor formula was used for the identification of crack parameters in the plates. The results show the correctness and applicability of the present method.
- uncertain inversion,
- SmXFEM,
- crack,
- genetic algorithm,
- optimization model

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References(22)

References

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