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Mathematical justification of a one-dimensional model for general elastic shallow arches (1998)

Álvarez-Dios, J. A. ; Viaño, J. M.

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 21 (1998), S. 281-325

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ISSN: 0170-4214

Schlagwort(e): Engineering ; Numerical Methods and Modeling

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik

Notizen: We present a bending model for a shallow arch, namely the type of curved rod where the curvature is of the order of the diameter of the cross section. The model is deduced in a rigorous mathematical way from classical tridimensional linear elasticity theory via asymptotic techniques, by taking the limit on a suitable re-scaled formulation of that problem as the diameter of the cross section tends to zero. This model is valid for general cases of applied forces and material, and it allows us to calculate displacements, axial stresses, bending moments and shear forces. The equations present a more general form than in the classical Bernoulli-Navier bending theory for straight slender rods, so that flexures and extensions are proved to be coupled in the most general case. © 1998 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd.

Materialart: Digitale Medien

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Digitale Medien

An asymptotic general model for linear elastic homogeneous anisotropic rods (1993)

Alvarez-Dios, J. A. ; Viaño, J. M.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 36 (1993), S. 3067-3095

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ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: This paper covers the mathematical justification and generalization of classical anisotropic rod theories using asymptotic analysis as the area of the cross-section tends to zero in the three-dimensional elasticity model after a rescaling in the unknowns and data, together with convergence results.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620361804

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