"Crystal"

Department of Theoretical and Applied Mechanics > "Crystal"

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The project is dedicated:

• definition of the link between the mechanical characteristics describing linear elastic properties crystalline solids at the micro and macro levels;
• definition of numerical values elastic characteristics at the micro level on the known experimental values elastic characteristics at the macro level.

It covers the following characteristics:

• at the micro level: the rigidity of the interatomic bonds;
• at the macro level: elastic material characteristics such as stiffness tensor components, the Young's modulus, Poisson's ratio, etc.

See also

• Crystal: Graz 2012

link

• Allotropes of iron

Project publications

• E.A. Podolskaya, A.M. Krivtsov, A.Yu. Panchenko. Stability and Structural Transitions in Crystal Lattices // Altenbach/Morozov (Eds), Surface Effects in Solid Mechanics (Series: Advanced Structured Materials Vol. 30), 2012, P. 131-141 (Скачать корректуру pdf: 215 Kb)
• A.M. Krivtsov, V.A. Kuzkin, Derivation of Equations of State for Ideal Crystals of Simple Structure // Mech. Solids. 46 (3), 387-399 (2011)
• Eremeyev V.A., Ivanova E.A., Indeitsev D.A. Wave processes in nanostructures formed by nanotube arrays or nanosize crystals. // Journal of Applied Mechanics and Technical Physics. 2010. Vol. 51. N 4. P. 569-578.
• V.A. Kuzkin, A.M. Krivtsov. Thermo-mechanical effects in perfect crystals. // ArXiv:1004.3008v1 [cond-mat.mtrl-sci]. 2010. Also published in Proc. of IUTAM Symposium on The Vibration Analysis of Structures with Uncertainties (St. Petersburg, Russia, 2009), Springer, 2011, pp. 403-416. (Download pdf: 525 kb)
• Kuzkin V.A., Krivtsov A.M. Thermo-mechanical effects in perfect crystals // Proc. of IUTAM Symposium on The Vibration Analysis of Structures with Uncertainties, 2009, pp. 403-416. (ArXive)
• V.A. Kuzkin. Equivalent thermo-mechanical parameters for perfect crystals with arbitrary multibody potential // Proc. of XXXVII Summer School – Conference “Advanced Problems in Mechanics”. St. Petersburg. 2009. P. 421-431
• V.A. Kuzkin, A.M. Krivtsov. Thermo-mechanical effects in perfect crystals // Proc. of IUTAM Symposium on The Vibration Analysis of Structures with Uncertainties, 2009 [paper in press].
• V.A. Kuzkin, A. M. Krivtsov. Thermomechanical effects in perfect crystals with arbitrary multibody potential. // Proc. of Int. Conf. on Advances in Materials Science. Prague. 2009. III, 30-34.
• O. S. Loboda, A.M. Krivtsov. Determination mechanical properties of nanostructures with complex crystal lattice using moment interaction at microscale. Scale effect in elastic properties. Reviews on advanced materials science. 2009, Vol. 20, № 2.
• Alexander A. Le-Zakharov, Anton M. Krivtsov. Molecular dynamics modeling of heat wave propagation in crystals // Proc. of XXXVI Summer School – Conference “Advanced Problems in Mechanics”. St. Petersburg. 2008. P. 420-425

Asiya Kudarova. Modeling of graphene crystal lattice. // Proc. of XXXVI Summer School – Conference “Advanced Problems in Mechanics”. St. Petersburg. 2008. P. 388-393.

• V.A. Kuzkin, A.M. Krivtsov. Microscopic Derivation of the Equation of State for Perfect Crystals // Proceedings of the Sixth International Conference on Engineering Computational Technology, M. Papadrakakis and B.H.V. Topping, (Editors), Civil-Comp Press, Stirlingshire, Scotland, paper 145, 2008
• E.A. Podolskaya. Modeling of hexagonal close-packed crystal lattices // Proc. of XXXVI Summer School – Conference “Advanced Problems in Mechanics”. St. Petersburg. 2008. P. 533-537
• I. E. Berinskiy, A. M. Krivtsov. Stability analysis of graphite crystal lattice with moment interactions. // Proc. of XXXIV Summer School "Advanced Problems in Mechanics", St.-Petersburg, Russia. 2007, 63-71.
• Olga S. Loboda. Scale effect in elastic properties of nanostructures with complex crystal lattices. // Proc. of XXXIV Summer School "Advanced Problems in Mechanics", St. Petersburg, Russia. 2007, 341-349.
• Krivtsov A. M. MD modeling of low-cycle high-amplitude loading of monocrystal material with defects. // Proc. of XXXIII Summer School “Advanced Problems in Me¬chanics”, St. Petersburg, Russia, 2006, 341-346.
• Krivtsov A. MD modeling of low-cycle high-amplitude loading of monocrystal material with defects. // Book of abstracts. XXXIV Summer School “Advanced Problems in Mechanics 2006”, St. Petersburg, Russia, 53.
• Loboda O. S. Comparison of discrete and continuum modeling for 2D nanocrystal stripe vibrations. // Proc. of XXXIII Summer School “Advanced Problems in Mechanics”, St. Petersburg, Russia, 2006, 243-250.
• Лобода О. С., Кривцов А. М. Влияние масштабного фактора на модули упругости трехмерного нанокристалла // Известия РАН. Механика твердого тела. № 4, 2005, с. 27-41. To be translated to English in: Scale effect in elastic modules for 3D-nanocrystals. Mechanics of Solids. Vol. 4, pp. 20-32.
• Krivtsov A. M. Molecular dynamics simulation of impact fracture in polycrystalline materials. // Meccanica, 2003, 38(1), 61–70.