Perturbation of constitutive relations in tensor non-linear materials

Mechanics of Advanced Materials and Structures

Volumn 15, Issue 6-7, 2008, Pages 528-532

  Georgievskii, Dimitri V ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Constitutive relation; Invariant; Material function; Perturbation; Stability; Tensor and scalar nonlinearity

Indexed keywords

CHLORINE COMPOUNDS; COLLOIDS; EQUATIONS OF MOTION; PERTURBATION TECHNIQUES; STRAIN RATE; VECTORS;

ADVANCED MATERIALS; CLOSED SYSTEMS; COMPLEX RHEOLOGY; CONSTITUTIVE RELATION; CONSTITUTIVE RELATIONS; INVARIANT; MATERIAL FUNCTION; MATERIAL FUNCTIONS; MOTION EQUATIONS; NON LINEARITIES; NON-LINEAR MATERIALS; PERTURBATION; PHYSICAL PARAMETERS; STABILITY; STRAIN RATE TENSORS; STRESS TENSORS; TENSOR AND SCALAR NONLINEARITY;

TENSORS;

EID: 49649115556     PISSN: 15376494     EISSN: 15376532     Source Type: Journal    
DOI: 10.1080/15376490802142759     Document Type: Conference Paper

References (8)

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5. Pobedria, B. E., "Lectures on Tensor Analysis," 3rd ed., chap. 8, Moscow Univ. Publ. House, Moscow (1986).
6. Georgievskii, D. V., "The Problem of the Stability of Quasilinear Flows with Respect to Perturbations of Hardening Function," J. Applied Math, and Mech. Transl, of Prikladnaya Mathematika i Mekhanika 63, 779-784 (1999).
7. Georgievskii, D. V., "Perturbations of Flows of Incompressible Non-Linear and Viscoplastic Fluids Generated by Variations of Material Functions," Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela (Solid Mechanics) 3, 55-62 (2007).
8. Georgievskii, D. V., "Small Perturbations of an Undeformed State in Media with Yield Stress," Doklady Physics. Transl, from Doklady Akademii Nauk 48, 590-593 (2003).