Abstract
A constitutive model for the nonlinear or “pseudoplastic” mechanical behavior in a linear-elastic solid with thermally induced microcracks is developed and applied to experimental results. The model is termed strain dependent microcrack density approximation (SDMDA) and is an extension of the modified differential scheme that describes the slope of the stress-strain curves of microcracked solids. SDMDA allows a continuous variation in the microcrack density with tensile loading. Experimental uniaxial tensile response of β-eucryptite glass and ceramics with controlled levels of microcracking is reported. It is demonstrated that SDMDA can well describe the extent of non-linearity in the experimental uniaxial tensile response of β-eucryptite with varying levels of microcracking. The advantages of the SDMDA are discussed in regard to tensile loading.
| Original language | English |
|---|---|
| Pages (from-to) | 361-371 |
| Number of pages | 11 |
| Journal | Acta Materialia |
| Volume | 135 |
| DOIs | |
| State | Published - Aug 15 2017 |
Funding
Microtensile testing and sample machining were made possible by the U.S Department of Energy, Office of Fossil Energy, Solid State Energy Conversion Alliance (SECA) Program. Research also partially sponsored by the U.S. Department of Energy, Assistant Secretary for Energy Efficiency and Renewable Energy, Office of Vehicle Technologies, as part of the Propulsion Materials Program. The authors thank James E. Webb of Corning Inc. for supplying the uncerammed glass for this study and sharing the devitrification procedures. Authors thank Andrew A. Wereszczak (ORNL) and Edgar Lara-Curzio (ORNL) for reviewing this manuscript.
Keywords
- Microcracking
- Modeling
- Tensile behavior
- Young's modulus
- β-eucryptite
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