The finite-volume direct averaging micromechanics (FVDAM) theory for periodic heterogeneous materials is extended by incorporating parametric mapping into the theory’s analytical framework. The parametric mapping enables modeling of heterogeneous microstructures using quadrilateral subvolume discretization, in contrast with the standard version based on rectangular subdomains. Thus arbitrarily shaped inclusions or porosities can be efficiently rendered without the artificially induced stress concentrations at fiber/matrix interfaces caused by staircase approximations of curved boundaries. Relatively coarse unit cell discretizations yield effective moduli with comparable accuracy of the finite-element method. The local stress fields require greater, but not exceedingly fine, unit cell refinement to generate results comparable with exact elasticity solutions. The FVDAM theory’s parametric formulation produces a paradigm shift in the continuing evolution of this approach, enabling high-resolution simulation of local fields with much greater efficiency and confidence than the standard theory.
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July 2008
Research Papers
Parametric Finite-Volume Micromechanics of Uniaxial Continuously-Reinforced Periodic Materials With Elastic Phases
Mahendra Gattu,
Mahendra Gattu
Gilsanz Murray Steficek LLP
, New York City, NY 10001
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Hamed Khatam,
Hamed Khatam
Civil Engineering Department,
University of Virginia
, Charlottesville, VA 22904-4742
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Anthony S. Drago,
Anthony S. Drago
Civil Engineering Department,
University of Virginia
, Charlottesville, VA 22904-4742
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Marek-Jerzy Pindera
Marek-Jerzy Pindera
Civil Engineering Department,
e-mail: mp3g@virginia.edu
University of Virginia
, Charlottesville, VA 22904-4742
Search for other works by this author on:
Mahendra Gattu
Gilsanz Murray Steficek LLP
, New York City, NY 10001
Hamed Khatam
Civil Engineering Department,
University of Virginia
, Charlottesville, VA 22904-4742
Anthony S. Drago
Civil Engineering Department,
University of Virginia
, Charlottesville, VA 22904-4742
Marek-Jerzy Pindera
Civil Engineering Department,
University of Virginia
, Charlottesville, VA 22904-4742e-mail: mp3g@virginia.edu
J. Eng. Mater. Technol. Jul 2008, 130(3): 031015 (15 pages)
Published Online: June 11, 2008
Article history
Received:
October 24, 2007
Revised:
February 19, 2008
Published:
June 11, 2008
Citation
Gattu, M., Khatam, H., Drago, A. S., and Pindera, M. (June 11, 2008). "Parametric Finite-Volume Micromechanics of Uniaxial Continuously-Reinforced Periodic Materials With Elastic Phases." ASME. J. Eng. Mater. Technol. July 2008; 130(3): 031015. https://doi.org/10.1115/1.2931157
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