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Perlis, M.L. et al. Cognitive-behavioral treatment of insomnia: A session-by-session guide. New York: Springer.
Edinger, J.D. et al. (2007). Dose-response effects of cognitive-behavioral insomnia therapy. Sleep, 30 (2), 203-212.
Sivertsen, B. et. Al. (2006). Cognitive behavioral tx vs. zopiclone for the tx of chronic primary insomnia. JAMA, 295, 2851-2858.
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Iteration to determine stress state in each grain
An iterative procedure is required to find the solution for the stress state, sc, in each grain (at each step). Note that the strain rate (as a tensor) is imposed on each grain, i.e. boundary conditions based on strain. Once a solution is found, then individual slipping rates (shear rates) can be calculated for each of the s slip systems. The use of a rate sensitive formulation for yield avoids the necessity of ad hoc assumptions to resolve the ambiguity of slip system selection.
Within the LApp code, the relevant subroutines are SSS and NEWTON
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Applied Mechanics of Solids (A.F. Bower) Chapter 6: Plasticity - 6.1 ... solidmechanics.org/text/Chapter6_1/Chapter6_1.htm The largest class of solutions to boundary value problems in plasticity exploits a technique known as slip line field theory. The theory simplifies the governing ... Slip avalanches in crystal plasticity: scaling of the avalanche cut-off ... iopscience.iop.org/article/10.1088/1742-5468/2007/04/P04013 by M Zaiser - 2007 - Cited by 25 - Related articles Plastic deformation of crystals proceeds through a sequence of intermittent slip avalanches with scale-free (power-law) size distribution. On macroscopic scales ... Basic Engineering Plasticity: An Introduction with Engineering and ... https://books.google.com/books?isbn=0080470904 David Rees - 2012 - Technology & Engineering Slip-induced plasticity within a polycrystal is similar to that for a single crystal but, because the grain orientations differ, the Schmidt factor will be high for some ... Dislocation microstructures and strain-gradient plasticity with one ... https://arxiv.org › math by S Conti - 2015 - Cited by 1 - Related articles Dec 9, 2015 - ... a strain-gradient term describing the energy of the geometrically necessary dislocations, characterized by the tangential gradient of the slip. Review on Slip Transmission Criteria in Experiments and Crystal ... https://arxiv.org › physics by E Bayerschen - 2015 - Cited by 16 - Related articles Jul 21, 2015 - The use of geometric criteria in continuum crystal plasticity models is ... This highlights the connections to slip transmission criteria from the ... Searches related to Plasticity -Multiple Slip plasticity definition engineering examples of plasticity materials plasticity example theory of plasticity pdf theory of elasticity and plasticity lecture notes elasticity and plasticity pdf elastic deformation definition plastic deformation definition
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