Multiscale Modelling and SimulationNo Access

MULTISCALE SIMULATION OF MICROCRACK BASED ON A NEW ADAPTIVE FINITE ELEMENT METHOD

Yun Xu

Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

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Jun Chen

Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

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Dong Quan Chen

Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

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, and

Jin Shan Sun

Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

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https://doi.org/10.1142/S0217979210065520Cited by:0 (Source: Crossref)

Abstract

In this paper, a new adaptive finite element (FE) framework based on the variational multiscale method is proposed and applied to simulate the dynamic behaviors of metal under loadings. First, the extended bridging scale method is used to couple molecular dynamics and FE. Then, macro damages evolvements of those micro defects are simulated by the adaptive FE method. Some auxiliary strategies, such as the conservative mesh remapping, failure mechanism and mesh splitting technique are also included in the adaptive FE computation. Efficiency of our method is validated by numerical experiments.

Project supported by the NSFC (No. 10826107, 10774017).

Keywords:

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References

N. Moes, J. Dolbow and T. Belytschko, Int. J. Numer. Meth. Engng. 46, 131 (1999). Web of Science, Google Scholar
T. Belytschko and T. Black, Int. J. Numer. Meth. Engng. 45(5), 601 (1999). Web of Science, Google Scholar
F. L. Staziet al., Comp. Mech. 31, 38 (2003), DOI: 10.1007/s00466-002-0391-2. Web of Science, ADS, Google Scholar
A. Combescureet al., Comput. Methods Appl. Mech. Engrg. 197, 309 (2008), DOI: 10.1016/j.cma.2007.04.011. Web of Science, ADS, Google Scholar
F. Brezziet al., Comput. Methods Appl. Mech. Engrg. 145, 329 (1997), DOI: 10.1016/S0045-7825(96)01221-2. Web of Science, ADS, Google Scholar
H. Thomas, H. Andrea and R. Ekkehard, Comput. Methods Appl. Mech. Engrg. 197, 414 (2008). Web of Science, Google Scholar
T. J. R. Hugheset al., Comput. Methods Appl. Mech. Engrg. 166, 3 (1998), DOI: 10.1016/S0045-7825(98)00079-6. Web of Science, ADS, Google Scholar
T. J. R. Hughes, Comput. Methods Appl. Mech. Engrg. 127, 387 (1995), DOI: 10.1016/0045-7825(95)00844-9. Web of Science, ADS, Google Scholar
G. Baskar and Z. Nicholas, J. Comput. Phys. 226, 326 (2007). Web of Science, Google Scholar
T. J. R. Hugheset al., Comput. Methods Appl. Mech. Engrg. 195, 2761 (2006), DOI: 10.1016/j.cma.2005.06.006. Web of Science, ADS, Google Scholar
A. Buffa, T. J. R. Hughes and G. Sangalli, SIAM J. Numer. Anal. 44(4), 1420 (2006), DOI: 10.1137/050640382. Web of Science, Google Scholar
Y. Bazilevset al., Comput. Methods Appl. Mech. Engrg. 197, 173 (2007), DOI: 10.1016/j.cma.2007.07.016. Web of Science, ADS, Google Scholar
E. Weinanet al., Commun. Comput. Phys. 2(3), 367 (2007). Web of Science, Google Scholar
W. E and Z. Huang, Phys. Rev. Lett. 87(13), 135501 (2001), DOI: 10.1103/PhysRevLett.87.135501. Web of Science, Google Scholar
P. A. Klein and J. A. Zimmerman, J. Comput. Phys. 213, 86 (2006), DOI: 10.1016/j.jcp.2005.08.014. Web of Science, ADS, Google Scholar
G. J. Wagner and W. K. Liu, J. Comput. Phys. 190, 249 (2003), DOI: 10.1016/S0021-9991(03)00273-0. Web of Science, ADS, Google Scholar
W. K. Liu , E. G. Karpov and H. S. Park , Nano Mechanics and Materials: Theory, Multiple Scale Analysis, and Applications ( Wiley , Chichester , 2005 ) . Google Scholar
D. E. Farrell, H. S. Park and W. K. Liu, Int. J. Numer. Meth. Engng. (2007), DOI: 10.1002/nme.1981. Google Scholar
D. E. Farrell and E. G. Karpov, Computational Mechanics 40, 965 (2007), DOI: 10.1007/s00466-007-0156-z. Web of Science, ADS, Google Scholar
I. Babuska and W. Rheinboldt, SIAM J. Numer. Anal. 15, 736 (1978). Web of Science, Google Scholar
P. Nithiarasu and O. C. Zienkiewicz, Int. J. Numer. Meth. Engng. 47, 629 (2000). Web of Science, Google Scholar
A. Schmidt and K. G. Siebert , Design of adaptive finite element software ( Springer , Berlin , 2005 ) . Google Scholar
L. G. Margolin and M. Shashkov, J. Comput. Phys. 184, 266 (2003), DOI: 10.1016/S0021-9991(02)00033-5. Web of Science, ADS, Google Scholar
Wang Ruili and Mao Minzhi, Chinese J. Comput. Phys. 18(5), 429 (2001). Web of Science, Google Scholar