Quantum Field Theory Approach to Mechanics of Polycrystals

V. Shavshukov; A.A. Tashkinov

doi:10.4028/www.scientific.net/SSP.243.131

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Determination of Thermography Modes for Recording Delamination between Composite Material and Reinforced Concrete Structures
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Mechanical and Microstructural Aspects of Localized Plastic Flow
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Characterization of Microstructure of Fibrous Composites Using High-Order Correlation Functions
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Quantum Field Theory Approach to Mechanics of Polycrystals
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Numerical Method for Solving the Problem of Thermomechanics of Polymeric Environment in Conditions of Phase Transition
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Evolution of Stresses in the Bolted Connection Node of Viscoelastic Composite Plates
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Multilevel Models of Polycrystalline Metals: Application for Cyclic Loading Description
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Quantum Field Theory Approach to Mechanics of Polycrystals

Abstract:

The solution of boundary-value problem in mechanics of polycrystalline materials is represented as perturbation series upon intergrains interaction like it is made in quantum fields theory. The terms of this series satisfy the infinite set of integral equations that reduced to systems of linear algebraic equations if to neglect the heterogeneities of strains within domain of individual grain. The method allows to take into account a microstructure of materials. Few examples of method application are demonstrated.

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Periodical:

Solid State Phenomena (Volume 243)

Pages:

131-138

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.243.131

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Online since:

October 2015

Authors:

V. Shavshukov*, A.A. Tashkinov

Keywords:

Elastic Interaction, Mechanics of Materials, Polycrystals, Quantum Field Theory

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References

[1] Abrikosov A.A., Gorkov L.P., Dzyaloshinski I.E., Methods of Quantum Field Theory in Statistical Physics. Prentice-Hall, Englewood Cliffs, N.J., (1963).

DOI: 10.1126/science.143.3606.559.b

Google Scholar

[2] Ashcroft N.M., Mermin N.D., Solid States Physics. Fort Worth: Sanders College, (1976).

Google Scholar

[3] Mura T., Micromechanics of Defects in Solids, second revised ed., Martinus Nijhoff Publishers, Dordrecht, The Netherlands, (1987).

Google Scholar

[4] Eshelby J.D., The determination of the elastic field of an ellipsoidal inclusion and related problems, Proc. Roy. Soc. A241 (1957) 376-396.

Google Scholar

[5] Shavshukov V.E., Stress field distribution in polycrystalline materials, Fiz. Mezomekh. 15 (2012) 85-91.

Google Scholar

[6] Shavshukov V.E., Tashkinov A.A., Strzhemechny Y., Hui D., Modeling of pseudoplastic deformation of carbon/carbon composites with pyrocarbon matrix, Mod. Sim. Mater. Sci. Eng. 15 (2008) 1-18.

DOI: 10.1088/0965-0393/16/5/055001

Google Scholar

[7] Ziman J.M., Models of Disorder. Cambridge University Press, Cambridge, (1979).

Google Scholar

[8] Shavshukov V.E., Elastic interaction of grains in polycrystalline materials, PRNPU Mechanics Bulletin 4 (2014) 198-220.

Google Scholar