Homogenization of Norton-Hoff fibered composites with high viscosity contrast. (English) Zbl 1482.35029
Summary: We study the steady creep flow of a perfectly viscoplastic solid comprising a small volume fraction of fibers with high viscosity contrast. Our study unveils new effects related to anisotropy and conditioned by the Norton exponent and the shape of the cross-sections of the fibers.
MSC:
| 35B27 | Homogenization in context of PDEs; PDEs in media with periodic structure |
| 74C10 | Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) |
| 74Q99 | Homogenization, determination of effective properties in solid mechanics |
Keywords:
fibered structures; Norton-Hoff materials; perfect viscoplasticity; metal matrix composite at high temperatureReferences:
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