Journal
INTERNATIONAL JOURNAL OF FRACTURE
Volume 175, Issue 2, Pages 151-166Publisher
SPRINGER
DOI: 10.1007/s10704-012-9709-z
Keywords
Shape memory alloys; Superelasticity; Transformation; Fracture
Categories
Funding
- NSF International Institute of Materials for Energy Conversion (IIMEC) [0844082]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [844082] Funding Source: National Science Foundation
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The problem of a center plane crack in an infinite, thin, pseudoelastic Shape Memory Alloy (SMA) plate subjected to an in-plane uniform tensile stress at infinity is analyzed. The analysis follows closely the Dugdale-Barenblatt model developed for conventional metals. It is found for low remote stress values-less than a critical value-that the SMA is not fully transformed in the vicinity of a crack tip. Closed form expressions for the size of the partial transformation zone, crack opening displacement and -integral are given for this case. For remote stress levels above the critical value, the fully-transformed material near a crack tip is assumed to yield plastically. The sizes of the transformed (both partially and fully) and plastic regions are numerically evaluated by solving a system of integral equations and their sensitivity to the transformation characteristics (i.e., maximum transformation strain and temperature) is determined. Moreover, a relationship between the -integral and the crack-tip opening displacement is derived. The results obtained are important in understanding the effect of stress-induced phase transformation in the fracture behavior of SMAs in the presence of static cracks, and subsequently in formulating conditions for initiation of crack propagation.
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