Elastic Interaction of Grains in Polycrystalline Materials

Shavshukov, Viacheslav M.

doi:10.15593/perm.mech/2014.4.08

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Nearest Neighbours Approximation1

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2015

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“…17 is rather straightforward if coefficients ) (ξη ijmn B are calculated for real microstructure of polycrystal. For spherical grains with 26 nearest neighbours of equal volumes the numerical calculation results as follows for polycrystalline zinc [8]. The correction of first-order .…”

Section: Nearest Neighbours Approximationmentioning

confidence: 99%

Quantum Field Theory Approach to Mechanics of Polycrystals

Shavshukov¹,

Tashkinov²

2015

SSP

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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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Section: Nearest Neighbours Approximationmentioning

confidence: 99%