On the lower-order theories of continua with application to incremental motions, stability and vibrations of rods

Author:

Altay G.,Dökmeci M. C.

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy,Mechanics of Materials,General Materials Science

Reference139 articles.

1. Euler, L.: De curvis elasticis (“Elastic Curves”) : additamentum I to his methodus inveniendi lineas curvas maximi minimive proprietate gaudentes. Lausanne=Opera Omnia I 24, 231–297 (1744) (in Latin)

2. Love A.E.H.: A Treatise on the Mathematical Theory of Elasticity. Dover Publications, New York (1944)

3. Von Karman, T.: Festigkeitsprobleme in Maschinenbau. In: Encyclopadie der Mathematischen Wissenschaften, vol. IV/4, pp. 311–385. Teubner, Leipzig (1910); see also, Ebene platen, In: Collected Works of Theodore von Karman, vol. 1, 1902–1913, pp. 176–178. Butterworths Scientific Publications, London (1956)

4. Von Karman, T.: Engineer grapples with nonlinear problems (15th Josiah Willard Gibbs lecture. Am. Math. Soc. 1939). Bull. Am. Math. Soc. 46, 615–683 (1940)

5. Antman S.S.: The theory of rods. In: Truesdell, C. (eds) Handbuch der Physik, Bd.VIa/2, pp. 641–703. Springer, Berlin (1972)

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1. Asymptotic beam theory for non-classical elastic materials;International Journal of Mechanical Sciences;2021-01

2. On a consistent rod theory for a linearized anisotropic elastic material: I. Asymptotic reduction method;Mathematics and Mechanics of Solids;2020-08-27

3. Pointwise error estimate for a consistent beam theory;Analysis and Applications;2017-10-26

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