Difference between revisions of ""Crystal""

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[[Main Page|Department of Theoretical and Applied Mechanics]] > '''"Crystal"''' <HR>
 
[[Main Page|Department of Theoretical and Applied Mechanics]] > '''"Crystal"''' <HR>
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[http://tm.spbstu.ru/%D0%9F%D1%80%D0%BE%D0%B5%D0%BA%D1%82_%22%D0%9A%D1%80%D0%B8%D1%81%D1%82%D0%B0%D0%BB%D0%BB%22 In Russian]
  
 
[[File:diamond.jpg|thumb]]
 
[[File:diamond.jpg|thumb]]
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* at the macro level: elastic material characteristics such as stiffness tensor components, the Young's modulus, Poisson's ratio, etc.
 
* at the macro level: elastic material characteristics such as stiffness tensor components, the Young's modulus, Poisson's ratio, etc.
  
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== Considered model ==
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== See also ==
−
 
 
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The following table considered models classified by type and lattices of type interaction. For each model listed responsible for research (as of 2010). Work carried out under the supervision of [[Anton Krivtsov]]
 
  
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{| class="wikitable"
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* [http://tm.spbstu.ru/Crystal:_Graz_2012 Crystal: Graz 2012]
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! colspan="4"| Structure
 
−
! colspan="4"| Interaction
 
−
|-
 
−
| Lattice
 
−
| Groups
 
−
| Atoms <BR> stacked
 
−
| Modules <BR> elasticity
 
−
| Power
 
−
| Moment
 
−
| 3-partial
 
−
| 4-partial
 
−
|-
 
−
| ОЦК
 
−
|
 
−
| 1
 
−
| 3
 
−
| Н.Двас
 
−
| М.Калмыкова
 
−
|
 
−
|
 
−
|-
 
−
| ГЦК
 
−
| ABCABC
 
−
| 1
 
−
| 3
 
−
| И.Нейгебауэр
 
−
| И.Нейгебауэр
 
−
| И.Нейгебауэр
 
−
|
 
−
|-
 
−
| ГПУ
 
−
| ABABAB
 
−
| 2
 
−
| 5
 
−
| [[Podolskaya_Ekaterina|E.Podolskaya]]
 
−
| [[Podolskaya_Ekaterina|E.Podolskaya]]
 
−
|
 
−
|
 
−
|-
 
−
| Diamond
 
−
| ABCABC
 
−
| 2
 
−
| 3
 
−
| И.Нейгебауэр
 
−
| [[O.S. Loboda|O.Loboda]]
 
−
| С.Хакало
 
−
| [[:ru:Igor_Berinskii|I.Berinskii]]
 
−
|-
 
−
| Lonsdale
 
−
| ABABAB
 
−
| 4
 
−
| 5
 
−
|
 
−
| С.Хакало
 
−
|
 
−
|
 
−
|-
 
−
| Graphene 2D
 
−
|
 
−
| 2
 
−
| 2
 
−
| И.Нейгебауэр
 
−
| [[:ru:Igor_Berinskii|I.Berinskii]]
 
−
| [[:ru:Igor_Berinskii|I.Berinskii]]
 
−
| [[:ru:Igor_Berinskii|I.Berinskii]]
 
−
|-
 
−
| Graphene 3D
 
−
|
 
−
| 2
 
−
| 8
 
−
|
 
−
| А.Кударова, [[Vitaly_Kuzkin|V.Kuzkin]]
 
−
|
 
−
|
 
−
|-
 
−
| α - graphite
 
−
| ABABAB
 
−
| 4
 
−
| 5
 
−
|
 
−
| С.Хакало
 
−
|
 
−
|
 
−
|-
 
−
| β - graphite
 
−
| ABCABC
 
−
| 2
 
−
| ?
 
−
|
 
−
| С.Хакало
 
−
|
 
−
|
 
−
|}
 
  
−
== ==
+
== link ==
 +
* [http://en.wikipedia.org/wiki/Allotropes_of_iron 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
 +
* 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.
 +
* 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.
 +
* 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.
 +
* Loboda O. S., Krivtsov A. M. 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.

Latest revision as of 16:35, 1 June 2016

Department of Theoretical and Applied Mechanics > "Crystal"

In Russian

Diamond.jpg

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[edit]

link[edit]

Project publications[edit]

  • 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
  • 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.
  • 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.
  • 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.
  • Loboda O. S., Krivtsov A. M. 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.
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