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

Schindler, S., Mergheim, J., Zimmermann, M., Aurich, J. C. and Steinmann, P. (2017) Numerical homogenization of elastic and thermal material properties for metal matrix composites (MMC). Continuum Mechanics and Thermodynamics, 29(1), pp. 51-75. (doi: 10.1007/s00161-016-0515-0)

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∘C , the melting temperature of the alloy. The numerically determined material properties are validated with experimental data from the literature as far as possible.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Steinmann, Professor Paul
• Authors: Schindler, S., Mergheim, J., Zimmermann, M., Aurich, J. C., and Steinmann, P.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Continuum Mechanics and Thermodynamics
• Publisher: Springer
• ISSN: 0935-1175
• ISSN (Online): 1432-0959
• Published Online: 21 July 2016