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AbstractAbstract
[en] Very little theoretical work on the development of the martensitic transformation and the characteristics of the resulting microstructure exists. This thesis advances the theory of the martensite transformation by constructing a computer model of a martensitic transformation in an idealized system. The model has its source in the general observation that the characteristics of martensitic transformations in solids are largely determined by accomodating the strain associated with the martensitic distortion of the crystal lattice. A review and adaptation of prior theoretical work leads to the development of a theory which allows the straightforward computation of the elastic energy associated with an arbitrary distribution of defects in an elastically anisotropic body under the assumption that the body has uniform elastic constants and that anharmonic effects may be neglected. Equations are cast in which the energy is written as a simple sum of binary interactions in which the defects influence one another according to an elastic potential whose form can be calculated. At the time that the energetic equations take a simple form the kinematics of the process involving the appearance of elastic inclusions are also known to be simple. The martiensitic transformation is modeled as a transformation which occurs through the sequential formation of individual martensitic elements, each carries the elementary transformation strain. Statistical equations developed govern the selection of the transformation path, or sequence that elementary martensite particles appear in the model, and specifies the kinetics of transformation.A useful representative path is defined as the minimum energy path. The model is used for the detailed simulation of a martensitic transformation in a pseudo two-dimensional system. Virtually all interesting qualitative aspects of the developing martensitic transformation are shown to be inherently present within it
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Jun 1979; 172 p; Available from NTIS., PC A08/MF A01
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Report
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