TY - JOUR

T1 - Korn's inequality for an arbitrary system of distorted thin rods

AU - Nazarov, S. A.

AU - Slutskii, A. S.

PY - 2002/12/1

Y1 - 2002/12/1

N2 - We derive a weighted and anisotropic Korn inequality for a system of elastic thin rods and verify its asymptotic accuracy. The structure of the norms at the construction elements (rods and knots) is determined from classifying the elements and assigning them to the following categories: movable, hard-movable, and clamped. This classification was never involved while the constraints on the structure of systems of rods in the preceding reserach excluded the presence of movable elements.

AB - We derive a weighted and anisotropic Korn inequality for a system of elastic thin rods and verify its asymptotic accuracy. The structure of the norms at the construction elements (rods and knots) is determined from classifying the elements and assigning them to the following categories: movable, hard-movable, and clamped. This classification was never involved while the constraints on the structure of systems of rods in the preceding reserach excluded the presence of movable elements.

KW - Classification of elements of elastic constructions

KW - Korn's inequality

KW - Movable and hard-movable rods

KW - Thin rod

KW - Weighted and anisotropic norms

UR - http://www.scopus.com/inward/record.url?scp=0036439334&partnerID=8YFLogxK

U2 - 10.1023/A:1021121402082

DO - 10.1023/A:1021121402082

M3 - Article

AN - SCOPUS:0036439334

VL - 43

SP - 1069

EP - 1079

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 6

ER -