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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2010 Issue 1(20), Pages 53–59 (Mi vsgtu750)

This article is cited in 2 papers

Mechanics of Solids

Formulation of Material Strength Condition for Endochronic Theory of Non-Elasticity Allowing for Micro-Fractures under Large Strains

Yu. I. Kadashevich, S. P. Pomytkin

Dept. of Higher Mathematics, St. Petersburg State Technological University for Plant and Polymers, St. Petersburg

Abstract: Endochronic constitutive relations in viscoplastic theory for large strain domain are considered. It is assumed micro-fractures are initiated both in elastic and in non-elastic elements of deformed material. Two constitutive equations and two dilatation ones for elastic and non-elastic ranges are proposed. Dilatation parameters are introduced into strength condition for brittle and ductile fracture of materials.

Keywords: non-elasticity, endochronic theory, large strains, constitutive equations, micro-fractures, strength condition.

UDC: 539.374, 535.422

MSC: 74C20

Original article submitted 30/XII/2009
revision submitted – 15/III/2010

DOI: 10.14498/vsgtu750



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