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Article

Statistical Analysis of Mechanical Stressing in Short Fiber Reinforced Composites by Means of Statistical and Representative Volume Elements

Leibniz-Institut für Polymerforschung Dresden e.V. (IPF), Hohe Straße 6, 01069 Dresden, Germany
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Academic Editor: Vincenzo Fiore
Received: 6 February 2021 / Revised: 24 February 2021 / Accepted: 26 April 2021 / Published: 6 May 2021
(This article belongs to the Special Issue Simulation of Short-Fiber-Reinforced Polymers)
Analyzing representative volume elements with the finite element method is one method to calculate the local stress at the microscale of short fiber reinforced plastics. It can be shown with Monte-Carlo simulations that the stress distribution depends on the local arrangement of the fibers and is therefore unique for each fiber constellation. In this contribution the stress distribution and the effective composite properties are examined as a function of the considered volume of the representative volume elements. Moreover, the influence of locally varying fiber volume fraction is examined, using statistical volume elements. The results show that the average stress probability distribution is independent of the number of fibers and independent of local fluctuation of the fiber volume fraction. Furthermore, it is derived from the stress distributions that the statistical deviation of the effective composite properties should not be neglected in the case of injection molded components. A finite element analysis indicates that the macroscopic stresses and strains on component level are significantly influenced by local, statistical fluctuation of the composite properties. View Full-Text
Keywords: RVE; SVE; short fiber reinforced; fiber orientation; homogenization; composite RVE; SVE; short fiber reinforced; fiber orientation; homogenization; composite
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MDPI and ACS Style

Breuer, K.; Spickenheuer, A.; Stommel, M. Statistical Analysis of Mechanical Stressing in Short Fiber Reinforced Composites by Means of Statistical and Representative Volume Elements. Fibers 2021, 9, 32. https://0-doi-org.brum.beds.ac.uk/10.3390/fib9050032

AMA Style

Breuer K, Spickenheuer A, Stommel M. Statistical Analysis of Mechanical Stressing in Short Fiber Reinforced Composites by Means of Statistical and Representative Volume Elements. Fibers. 2021; 9(5):32. https://0-doi-org.brum.beds.ac.uk/10.3390/fib9050032

Chicago/Turabian Style

Breuer, Kevin, Axel Spickenheuer, and Markus Stommel. 2021. "Statistical Analysis of Mechanical Stressing in Short Fiber Reinforced Composites by Means of Statistical and Representative Volume Elements" Fibers 9, no. 5: 32. https://0-doi-org.brum.beds.ac.uk/10.3390/fib9050032

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