On the Statistical Determination of Yield Strength, Ultimate Strength, and Endurance Limit of a Particle Reinforced Metal Matrix Composite (PRMMC)

  • Geng ChenEmail author
  • Utku Ahmet Ozden
  • Alexander Bezold
  • Christoph Broeckmann
  • Dieter Weichert


In this paper we present a numerical methodology to determine the load bearing capacity of a random heterogeneous material. It is applied to a particulate reinforced metal matrix composite (PRMMC), WC-30 Wt.% Co, to predict its strength against both monotonic and cyclic loads. In this approach, limit and shakedown analysis based on Melan’s static theorem [30] is performed on representative volume element (RVE) models generated from real material microstructure and the obtained results are converted to macroscopic load domains through homogenization. To evaluate microstructure’s impact on the overall material strength, the relationship between strength and composite structure is investigated by means of statistics. Meanwhile, several numerical issues, e.g. the impact of RVE’s size, mesh density, as well as the discrepancy between 2D and 3D models, are studied.


PRMMC Shakedown Statistical RVE Homogenization Melan’s theorem 


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Geng Chen
    • 1
    Email author
  • Utku Ahmet Ozden
    • 1
  • Alexander Bezold
    • 1
  • Christoph Broeckmann
    • 1
  • Dieter Weichert
    • 2
  1. 1.Institute of Materials Application in Mechanical EngineeringRWTH Aachen UniversityAachenGermany
  2. 2.Institute of General MechanicsRWTH Aachen UniversityAachenGermany

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