Skeletonization-based beam finite element models for stochastic bicontinuous materials: Application to simulations of nanoporous gold

作者: Celal Soyarslan , Hakan Argeso , Swantje Bargmann

DOI: 10.1557/JMR.2018.244

关键词:

摘要: An efficient representative volume element generation strategy is developed in modeling nanoporous materials. It uses periodic 3D beam finite (FE) models derived from skeletonization of spinodal-like stochastic microstructures produced by a leveled random field. To mimic stiffening with agglomeration the mass at junctions, an increased Young’s modulus assigned to elements within junction zone. The effective modulus, Poisson’s ratio, and universal anisotropy index are computed. A good agreement predictions those obtained experimental results for phase fractions $0.20<{\phi _{\cal B}}<0.50$ observed. Moreover, elastic generated networks shows sufficient proximity isotropy. Finally, it demonstrated that, as compared simulation statistics voxel-FE models, beam-FE over 500-fold computational acceleration 250-fold less memory requirement provided.

参考文章(61)
Lukas Lührs, Celal Soyarslan, Jürgen Markmann, Swantje Bargmann, Jörg Weissmüller, Elastic and plastic poisson’s ratios of nanoporous gold Scripta Materialia. ,vol. 110, pp. 65- 69 ,(2016) , 10.1016/J.SCRIPTAMAT.2015.08.002
T.L. Gall, H.E. Boyer, Metals handbook; desk edition Published in <b>1985</b> in Metals Park Ohio) by American society for metals. ,(1985)
Lorna J. Gibson, Michael F. Ashby, Cellular Solids: Structure and Properties ,(1988)
Pierre Soille, Morphological Image Analysis: Principles and Applications Published in <b>2003</b> in Berlin etc] by Springer. ,(2003)
Michael Kerschnitzki, Philip Kollmannsberger, Manfred Burghammer, Georg N Duda, Richard Weinkamer, Wolfgang Wagermaier, Peter Fratzl, Architecture of the osteocyte network correlates with bone material quality. Journal of Bone and Mineral Research. ,vol. 28, pp. 1837- 1845 ,(2013) , 10.1002/JBMR.1927
Alain Karma, Nikolay Dimitrov, Karl Sieradzki, Jonah Erlebacher, Michael J. Aziz, Evolution of nanoporosity in dealloying Nature. ,vol. 410, pp. 450- 453 ,(2001) , 10.1038/35068529
T. Hildebrand, P. Rüegsegger, A NEW METHOD FOR THE MODEL-INDEPENDENT ASSESSMENT OF THICKNESS IN THREE-DIMENSIONAL IMAGES Journal of Microscopy. ,vol. 185, pp. 67- 75 ,(1997) , 10.1046/J.1365-2818.1997.1340694.X
A. McBride, J. Mergheim, A. Javili, P. Steinmann, S. Bargmann, Micro-to-macro transitions for heterogeneous material layers accounting for in-plane stretch Journal of the Mechanics and Physics of Solids. ,vol. 60, pp. 1221- 1239 ,(2012) , 10.1016/J.JMPS.2012.01.003
Shivakumar I. Ranganathan, Martin Ostoja-Starzewski, Universal Elastic Anisotropy Index Physical Review Letters. ,vol. 101, pp. 055504- ,(2008) , 10.1103/PHYSREVLETT.101.055504