Bounds for the effective shear modulus

• Autorzy: Ecsedi I.
• Języki publikacji: EN

Abstrakty

EN

This paper deals with the uniform torsion of nonhomogeneus elastic beams. The concept of the effective shear modulus is deduced from torsional rigidity. Upper and lower bounds are derived for the effective shear modulus. It is proven that the effective shear modulus of a~compound beam is between the weighted arithmetic and harmonic means of shear moduli of the beam components.

Słowa kluczowe

EN

uniform torsion; bounds; effective; shear modulus; non-homogeneous

PL

skręcanie; efektywność

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2005
• Tom: Vol. 53, iss. 4
• Strony: 415--423
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Ecsedi I.

• University of Miskolc, Department of Mechanics, Miskolc-Egyetemvaros, H-3515 Hungary,

Bibliografia

• 1. N. N. ARUTJUNJAN, V. L. ABRAMJAN, Torsion of elastic bodies [in Russian], Fiz.-Mat.­ Lit. Nauka, Moscow 1963.
• 2. I. ECSEDI, Supplementary notices to the theory of uniform torsion of nonhomogenous beams [in Hungarian], Dissertation, University of Miskolc 1981.
• 3. S. G. LEKHNITSKII, Torsion of anisotropic and nonhomogeneous beams [in Russian], Fiz.­ Mat.-Lit. Nauka, Moscow 1971.
• 4. V. A. LOMAKIN, Theory of nonhomogeneous elastic bodies [in Russian], University of Moscow, 1976.
• 5. L. E. MALVERN, Introduction to the mechanics of a continuous medium, Englewood Cliffs., N. Prentice Hall, New York 1969.
• 6. N. MUSKHELISHVILI, Some basic problems of the mathematical theory of elasticity, Gronigen, (Holland), Noordoff 1953.
• 7. C. WEBER, W. GONTHER, Torsionstheorie, Akademie-Verlag, Berlin 1958.