Multi-scale modeling and characterization of random microstructures with Gaussian correlations

Ankit Saharan, Sohan Kale, Martin Ostoja Starzewski

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Scale dependent homogenization is used to estimate the effective properties of heterogeneous materials with Gaussian correlated microstructures-Separation of scales (Micro (d), Meso((δ), Macro (L)) in these microstructures leads to the problem of determination of Representative Volume Element (RVE) that corresponds to the effective properties of materials. Microstructural randomness is inherent in these materials and hence we study the scaling from Statistical Volume Element (SVE) to RVE. Using the Hill-Mandel condition, the RVE is achieved when the material response becomes independent of the two boundary conditions (kinematic and static boundary condition) setup on the SVE. A numerical study is performed evaluating the bounds on effective properties of isotropic two-phase random Gaussian correlated microstructures using the Abaqus finite element package. The finite-size scaling effect is presented and quantified in terms of a normalized scaling function.

Original languageEnglish (US)
Title of host publicationMaterials Science and Technology Conference and Exhibition 2014, MS and T 2014
PublisherAssociation for Iron and Steel Technology, AISTECH
Pages1335-1342
Number of pages8
Volume2
ISBN (Electronic)9781634397230
StatePublished - 2014
EventMaterials Science and Technology Conference and Exhibition 2014, MS and T 2014 - Pittsburgh, United States
Duration: Oct 12 2014Oct 16 2014

Other

OtherMaterials Science and Technology Conference and Exhibition 2014, MS and T 2014
CountryUnited States
CityPittsburgh
Period10/12/1410/16/14

Fingerprint

Microstructure
Boundary conditions
Macros
Kinematics

Keywords

  • Correlated microstructures
  • Gaussian
  • Homogenization
  • Multi-scale simulations
  • Scaling law

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Materials Science(all)

Cite this

Saharan, A., Kale, S., & Starzewski, M. O. (2014). Multi-scale modeling and characterization of random microstructures with Gaussian correlations. In Materials Science and Technology Conference and Exhibition 2014, MS and T 2014 (Vol. 2, pp. 1335-1342). Association for Iron and Steel Technology, AISTECH.

Multi-scale modeling and characterization of random microstructures with Gaussian correlations. / Saharan, Ankit; Kale, Sohan; Starzewski, Martin Ostoja.

Materials Science and Technology Conference and Exhibition 2014, MS and T 2014. Vol. 2 Association for Iron and Steel Technology, AISTECH, 2014. p. 1335-1342.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Saharan, A, Kale, S & Starzewski, MO 2014, Multi-scale modeling and characterization of random microstructures with Gaussian correlations. in Materials Science and Technology Conference and Exhibition 2014, MS and T 2014. vol. 2, Association for Iron and Steel Technology, AISTECH, pp. 1335-1342, Materials Science and Technology Conference and Exhibition 2014, MS and T 2014, Pittsburgh, United States, 10/12/14.
Saharan A, Kale S, Starzewski MO. Multi-scale modeling and characterization of random microstructures with Gaussian correlations. In Materials Science and Technology Conference and Exhibition 2014, MS and T 2014. Vol. 2. Association for Iron and Steel Technology, AISTECH. 2014. p. 1335-1342
Saharan, Ankit ; Kale, Sohan ; Starzewski, Martin Ostoja. / Multi-scale modeling and characterization of random microstructures with Gaussian correlations. Materials Science and Technology Conference and Exhibition 2014, MS and T 2014. Vol. 2 Association for Iron and Steel Technology, AISTECH, 2014. pp. 1335-1342
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