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Numerical homogenization of elastic and thermal material properties for metal matrix composites (MMC)

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Abstract

A two-scale material modeling approach is adopted in order to determine macroscopic thermal and elastic constitutive laws and the respective parameters for metal matrix composite (MMC). Since the common homogenization framework violates the thermodynamical consistency for non-constant temperature fields, i.e., the dissipation is not conserved through the scale transition, the respective error is calculated numerically in order to prove the applicability of the homogenization method. The thermomechanical homogenization is applied to compute the macroscopic mass density, thermal expansion, elasticity, heat capacity and thermal conductivity for two specific MMCs, i.e., aluminum alloy Al2024 reinforced with 17 or 30 % silicon carbide particles. The temperature dependency of the material properties has been considered in the range from 0 to \(500{\,}^\circ \mathrm {C}\), the melting temperature of the alloy. The numerically determined material properties are validated with experimental data from the literature as far as possible.

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Acknowledgments

The authors would like to thank the German research foundation (DFG) for funding the project “Thermal effects when turning Al-MMC—experiments and simulations AU 185/26, STE 544/42” within the priority program SPP 1480.

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Authors and Affiliations

  1. Chair of Applied Mechanics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany

    Stefan Schindler, Julia Mergheim & Paul Steinmann

  2. Institute for Manufacturing Technology and Production Systems, University of Kaiserslautern, Kaiserslautern, Germany

    Marco Zimmermann & Jan C. Aurich

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  1. Stefan Schindler
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  2. Julia Mergheim
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  3. Marco Zimmermann
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  4. Jan C. Aurich
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  5. Paul Steinmann
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Correspondence to Stefan Schindler.

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Communicated by Andreas Öchsner.

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Schindler, S., Mergheim, J., Zimmermann, M. et al. Numerical homogenization of elastic and thermal material properties for metal matrix composites (MMC). Continuum Mech. Thermodyn. 29, 51–75 (2017). https://doi.org/10.1007/s00161-016-0515-0

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  • DOI: https://doi.org/10.1007/s00161-016-0515-0

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