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The dislocation structure of experimentally deformed marble
Authors:C Goetze  D L Kohlstedt
Institution:(1) Department of Earth and Planetary Sciences, Massachusetts Institute of Technology, 02139 Cambridge, MA, USA;(2) Department of Materials Science and Engineering, Cornell University, 14853 Ithaca, N.Y., USA
Abstract:Five specimens deformed at differential stresses between 220 and 980 bar were selected for a transmission electron microscopy study from the suite of Yule Marble specimens of Heard and Raleigh (1972). The electron micrographs show twinning, curved free dislocations, sessile dislocation loops, and small angle boundaries. Both free dislocations and dislocation boundaries contain dislocation reactions which most likely involve the Burgers vectors 1/6lang1¯102rang and 1/12lang1¯210rang reacting to form 1/12lang10¯14rang. The dislocation densities of specimens deformed at the higher stresses were greater than the starting density and fit the relation 
$$\sigma _1  - \sigma _3  = \left( {1\frac{1}{2} - 3} \right)\mu b\rho ^{\frac{1}{2}}$$
. However, the dislocation densities of specimens deformed at the lower stresses decreased only partially with respect to the starting density during the deformation experiments and thus are larger than predicted by this relation.
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