Mesh Partition Based Explicit Integration Method for Dynamic Structure FEA

Abstract:

A mesh partition based explicit integration method for dynamic structure FEA is proposed in this article. With this method, the whole finite element mesh is partitioned into several zones according to the elements increment feature size, and then variable time increments are applied to the mesh zones for explicit integration while the parameter transfer and interpolation is performed over the interfaces to ensure the continuity. This method has the capability of boost the analysis efficiency without much precision loss to the analysis results of interested zones, which is proven by some 2D analysis examples.

• Periodical: Applied Mechanics and Materials (Volume 328)
• Pages: 558-563
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.328.558
• Online since: June 2013
• Authors: Da Ping Li, Yan Chao Hu
• Keywords: Explicit Integration, Increment Feature Size, Mesh Partition, Parameter Transfer, Time Increment

References

[1] Dassault Systèmes. Abaqus Theory Manual(6.9). 2.4.5 Explicit dynamic analysis, (2011).

[2] K.H. Low. Numerical implementation of structural dynamics analysis. Computer & Structures. Vol.65, No. 1, (1997), pp.109-125.

[3] B. Bourel, A. Combescure. A method to handle mesh switches for non-linear structural analysis in explicit dynamics. Finite Elements in Analysis and Design, 47 (2011), p.812–824.

DOI: 10.1016/j.finel.2011.02.012

[4] S.S. Shishvan et al. A time integration algorithm for linear transient analysis based on the reproducing kernel method. Comput. Methods Appl. Mech. Engrg, 198 (2009), p.3361–3377.

DOI: 10.1016/j.cma.2009.06.011

[5] S.Rostami,et al. An explicit time integration method for structural dynamics using cubic B-spline polynomial functions. Scientia Iranica, Transactions A: Civil Engineering(2012), Doi: 10.1016/j.scient, (2012).

DOI: 10.1016/j.scient.2012.12.003

[6] S.H. Yina. An Unconditionally Stable Explicit Method for Structural Dynamics. Procedia Engineering 14(2011), pp.2519-2526.

DOI: 10.1016/j.proeng.2011.07.317

[7] S. Idelsohn et al. Large time-step explicit integration method for solving problems with dominant convection. Comput. Methods Appl. Mech. Engrg. 217–220 (2012), p.168–185.

DOI: 10.1016/j.cma.2011.12.008

[8] Chang SY. Enhanced unconditionally stable explicit pseudodynamic algorithm. J. of Engineering Mechanics. ASCE 133(5), (2007), pp.541-554.

DOI: 10.1061/(asce)0733-9399(2007)133:5(541)

[9] J.S. Sun et al. Comparison of implicit and explicit Finite element methods for dynamic problems. Journal of Materials Processing Technology. 105 (2000), pp.110-118.

DOI: 10.1016/s0924-0136(00)00580-x

[10] Miguel Vieira, Kenji Shimada. Surface mesh segmentation and smooth surface extraction through region growing. Computer Aided Geometric Design. 22(2005), pp.771-792.

DOI: 10.1016/j.cagd.2005.03.006