Stochastic upscaling of heterogeneous materials. Issue 1 (October 2016)

• Record Type: Journal Article
• Authors: Sarfaraz, Muhammad Sadiq; Rosić, Bojana; Matthies, Hermann G.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 16:Issue 1(2016)
• Page Start: 679
• Page End: 680
• Publication Date: 2016-10
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201610328
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: We propose a probabilistic strategy to upscale the material spatial variability from fine to coarse scale. To implement this idea in a numerical framework, we consider the coarse‐scale as stochastic, i. e. its material properties are considered uncertain and modeled as random variables/fields. Numerical examples are shown to demonstrate the applicability of proposed approach. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)