Problems of Statics of Two-Component Elastic Mixtures

Giorgashvili, Levan; Skhvitaridze, K.

doi:10.1515/gmj.2005.619

Cited by 3 publications

(1 citation statement)

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“…Also, linear and non-linear static bodies were solved by [4]. [2,5] discussed the entropy flux of transversely isotropic elastic bodies of homogeneous type, while [6,7,8] gave a solution of a non-classical problem of oscillation of two component mixtures. A fundamental solution of the system of differential equations of stationary oscillation of two-temperature elastic mixture theory was provided by [9].…”

Section: Introductionmentioning

confidence: 99%

Time Impact on Residue in a Non-homogeneous Equation of Statics in the Theory of Elastic Mixture

Ndiwari

2021

IJMCR

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Residual stress in continuum has not been quantified because time relationship with residues has not been proven analytically. This is achieved in this paper by analyzing a two component mixture with the non-homogeneous equation of statics in the theory of elastic mixture, and second order differential equations with variable coefficients. A dry mixture of sand and cement is transformed into a continuum, which is been determined as an entire or a meromorphic function, as a result of the existence of residues that are contained in the principal component of the mixture obtained directly from the earth. The time relationship with residue, in these two functions are determined. Our result shows that time places a limit on residues, making the meromorphic function prone to implosion..

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