For Libraries For Publication Open Access Downloads About Us Contact Us
Paper Titles
Thermal Cycling Life of Porous Ceramic Coatings Subjected to Thermal Gradient and Coolant Pressure
p.293
Deviations of Microcrack during Propagation in Thin Films of Austenitic Steel and Accompanying Accommodative Processes
p.297
Comparison of Artificial Neural Networks and the Transfer Function Method for Force Reconstruction in Curved Composite Plates
p.301
Fatigue Crack Growth Rates and Tensile Strength of Titanium Produced by Means of Selective Laser Melting
p.305
Comparison of Full Field and Single Inclusion Approaches to Homogenization of Composites with Non-Ellipsoidal Pores
p.309
Application of Acoustic Emission for Identification of Differences in Fatigue Damage of Selected Materials for Power Plants
p.313
Work of Fracture due to Compressive Component of Loading in Wedge Splitting Test on Quasi-Brittle Cementitious Specimens
p.317
Prediction of Corrosion Processes on Weathering Steel Bridges
p.321
Analytical 1D Model of Delamination Development and Strength of Layered Composite Beam in Post-Buckling
p.325

Comparison of Full Field and Single Inclusion Approaches to Homogenization of Composites with Non-Ellipsoidal Pores

Article Preview

Abstract:

This paper compares two approaches to predict the overall mechanical properties of solids with irregularly shaped pores. The first approach involves direct finite element simulations of representative volume elements containing arrangements of irregularly shaped pores subjected to periodic boundary conditions. The second approach utilizes numerical results for individual defect shapes in a micromechanical scheme. Several realizations of parallel and randomly oriented distributions of defects are considered. It is determined that the Mori-Tanaka micromechanical scheme provides good correlation with the full field finite element simulations.

You might also be interested in these eBooks
Advances in Fracture and Damage Mechanics XIII View Preview

Info:

Periodical:

Key Engineering Materials (Volume 627)

Pages:

309-312

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.627.309

Citation:

Cite this paper

Online since:

September 2014

Authors:

Igor Tsukrov*, Borys Drach, Anton Trofimov

Keywords:

Finite Element Analysis (FEA), Homogenization, Irregularly Shaped Pores

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2015 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

References

[1] Böhm, H.J., Han, W., Eckschlager, A., 2004. Multi-inclusion unit cell studies of reinforcement stresses and particle failure in discontinuously reinforced ductile matrix composites. CMES: Computer Modeling in Engineering Science 5, 5–20.

Google Scholar

[2] Eshelby, J.D., 1957. The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 241, 376–396.

DOI: 10.1098/rspa.1957.0133

Google Scholar

[3] Mori, T., Tanaka, K., 1973. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 21, 571–574.

DOI: 10.1016/0001-6160(73)90064-3

Google Scholar

[4] Kachanov, M., Tsukrov, I., Shafiro, B., 1994. Effective moduli of solids with cavities of various shapes. Applied Mechanics Reviews 47, S151.

DOI: 10.1115/1.3122810

Google Scholar

[5] Drach, B., Tsukrov, I., Gross, T., Dietrich, S., Weidenmann, K., Piat, R., Böhlke, T., 2011. Numerical modeling of carbon/carbon composites with nanotextured matrix and 3D pores of irregular shapes. International Journal of Solids and Structures 48, 2447–2457.

DOI: 10.1016/j.ijsolstr.2011.04.021

Google Scholar

[6] Widom, B., 1966. Random Sequential Addition of Hard Spheres to a Volume. The Journal of Chemical Physics 44, 3888.

DOI: 10.1063/1.1726548

Google Scholar

[7] Lind, P.G., 2009. Sequential random packings of spheres and ellipsoids. In: AIP Conference Proceedings, Vol. 219, AIP, p.219–222.

DOI: 10.1063/1.3179897

Google Scholar

[8] Donev, A., Cisse, I., Sachs, D., Variano, E. a, Stillinger, F.H., Connelly, R., Torquato, S., Chaikin, P.M., 2004. Improving the density of jammed disordered packings using ellipsoids. Science (New York, N.Y.) 303, 990–3.

DOI: 10.1126/science.1093010

Google Scholar

[9] Lubachevsky, B.D., Stillinger, F.H., Pinson, E.N., 1991. Disks vs. spheres: Contrasting properties of random packings. Journal of Statistical Physics 64, 501–524.

DOI: 10.1007/bf01048304

Google Scholar

[10] Bertei, A., Chueh, C.-C., Pharoah, J.G., Nicolella, C., 2014. Modified collective rearrangement sphere-assembly algorithm for random packings of nonspherical particles: Towards engineering applications. Powder Technology 253, 311–324.

DOI: 10.1016/j.powtec.2013.11.034

Google Scholar

[11] Byholm, T., Toivakka, M., Westerholm, J., 2009. Effective packing of 3-dimensional voxel-based arbitrarily shaped particles. Powder Technology 196, 139–146.

DOI: 10.1016/j.powtec.2009.07.013

Google Scholar

[12] Khachiyan, L.G., 1996. Rounding of Polytopes in the Real Number Model of Computation. Mathematics of Operations Research 21, 307–320.

DOI: 10.1287/moor.21.2.307

Google Scholar

[13] Altendorf, H., Jeulin, D., 2011. Random-walk-based stochastic modeling of three-dimensional fiber systems. Physical Review E 83, 041804.

DOI: 10.1103/physreve.83.041804

Google Scholar

[14] Perram, J., Wertheim, M., 1985. Statistical mechanics of hard ellipsoids. I. Overlap algorithm and the contact function. Journal of Computational Physics 58, 409–416.

DOI: 10.1016/0021-9991(85)90171-8

Google Scholar

[15] Drach, A., Drach,B., Tsukrov, I., 2014. Processing of Fiber Architecture Data for Finite Element Modeling of 3D Woven Composites. Advances in Engineering Software, 72, 18–27.

DOI: 10.1016/j.advengsoft.2013.06.006

Google Scholar

© 2025 Trans Tech Publications Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies. For open access content, terms of the Creative Commons licensing CC-BY are applied.
Scientific.Net is a registered trademark of Trans Tech Publications Ltd.