inelastic, Statistical continuum theory, two phase medium
A formulation is introduced here for the evolution of correlation functions in an inelastically deforming two phase medium. Probability functions play a major role in describing the statistical distribution of different phases in a heterogeneous medium in the development of statistical continuum theory. Proper formulation of statistical continuum model for inelastic deformation requires better understanding of the evolution of the corresponding probability functions. A two point probability function representation is used to approximate the statistical correlation functions. The evolution of these functions requires the information from higher order probability functions, in this case, a three point probability function. A decomposition of this three point probability function is required for the simulation of the statistical model. The results were compared with experimental data.
Original Publication Citation
International Journal of Solids and Structures 37 (2) 423-434
BYU ScholarsArchive Citation
Adams, Brent L.; Garmestani, H.; and Lin, S., "The evolution of probability functions in an inelasticly deforming two-phase medium" (1998). All Faculty Publications. 632.
Ira A. Fulton College of Engineering and Technology
© 1998 Brent L. Adams, H. Garmestani, and S. Lin
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