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Digitale Medien

Dispersion of elastic waves in periodically inhomogeneous media (1993)

Sotiropoulos, D. A.

Springer

Computational mechanics 12 (1993), S. 134-146

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ISSN: 1432-0924

Quelle: Springer Online Journal Archives 1860-2000

Thema: Maschinenbau

Notizen: Abstract Propagation of time-harmonic elastic waves through periodically inhomogeneous media is considered. The material inhomogeneity exists in a single direction along which the elastic waves propagate. Within the period of the linear elastic and isotropic medium, the density and elastic modulus vary either in a continuous or a discontinuous manner. The continuous variations are approximated by staircase functions so that the generic problem at hand is the propagation of elastic waves in a medium whose finite period consists of an arbitrary number of different homogeneous layers. A dynamic elasticity formulation is followed and the exact phase velocity is derived explicitly as a solution in closed form in terms of frequency and layer properties. Numerical examples are then presented for several inhomogeneous structures.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00371989

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Digitale Medien

Dynamic analysis of inelastic plates by the D/BEM (1994)

Providakis, C. P. ; Beskos, D. E. ; Sotiropoulos, D. A.

Springer

Computational mechanics 13 (1994), S. 276-284

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ISSN: 1432-0924

Quelle: Springer Online Journal Archives 1860-2000

Thema: Maschinenbau

Notizen: Abstract A direct boundary element method is developed for the dynamic analysis of thin inelastic flexural plates of arbitrary planform and boundary conditions. It employs the static fundamental solution of the associated elastic problem and involves not only boundary integrals but domain integrals as well. Thus boundary as well as interior elements are employed in the numerical solution. Time integration is accomplished by the explicit algorithm of the central difference predictor method. A viscoplastic constitutive theory with state variables is employed to model the material behaviour. Numerical results are also presented to illustrate quantitatively the proposed method of solution.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00350229

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Digitale Medien

BEM analysis of reduced dynamic stress concentration by multiple holes (1993)

Providakis, C. P. ; Sotiropoulos, D. A. ; Beskos, D. E.

Chichester : Wiley-Blackwell

Communications in Numerical Methods in Engineering 9 (1993), S. 917-924

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ISSN: 1069-8299

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: The reduction of stress concentration around a circular hole in a dynamically loaded plate by introducing auxiliary holes around the original hole is studied numerically. The solution of this plane stress problem is carried out in the Laplace transformed domain with the aid of the boundary-element method, and subsequently the time domain response is obtained by numerically inverting the transformed solution. Numerical examples are presented which demonstrate a stress reduction as high as 18 per pent by the introduction of two auxiliary holes in the loading direction for the uniaxial case.

Zusätzliches Material: 4 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/cnm.1640091108

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