The sequential addition and migration method to generate representative volume elements for the homogenization of short fiber reinforced plastics

We present an algorithm for generating volume elements of short fiber reinforced plastic microstructures for prescribed fourth order fiber orientation tensor, fiber aspect ratio and solid volume fraction. The algorithm inserts fibers randomly into an existing microstructure, and removes the resultin...

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Bibliographic Details
Published in:Computational mechanics 2017-02, Vol.59 (2), p.247-263
Main Author: Schneider, Matti
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Aspect ratio
Classical and Continuum Physics
Computational Science and Engineering
Elastic properties
Engineering
Fiber orientation
Fiber reinforced plastics
Inserts
Methods
Original Paper
Plastics industry
Polymers
Short fibers
Tensors
Theoretical and Applied Mechanics
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Summary:We present an algorithm for generating volume elements of short fiber reinforced plastic microstructures for prescribed fourth order fiber orientation tensor, fiber aspect ratio and solid volume fraction. The algorithm inserts fibers randomly into an existing microstructure, and removes the resulting overlap systematically based on a gradient descent method. In contrast to existing methods, large fiber aspect ratios (up to 150) and large volume fractions (60 vol% for isotropic orientation and aspect ratio of 33) can be reached. We study the effective linear elastic properties of the resulting microstructures, depending on fiber orientation, volume fraction as well as aspect ratio, and examine the size of a corresponding representative volume element.
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-016-1350-7