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A multidata method of approximate Laplace transform inversion (1970)

Cost, Thomas L. ; Becker, Eric B.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 2 (1970), S. 207-219

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ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: A newly developed numerical Laplace transform inversion technique is described. A derivation of the method, termed the ‘multidata method’, is presented along with a description of a similar collocation method. Similarities and differences between the two numerical methods are described and discussed. Results of parameter studies of both methods are presented which demonstrate the sensitivity to error displayed by the collocation method and the magnitude of the improvement in accuracy obtainable with the multidata method as compared with the collocation method, especially when errors exist in the function to be inverted.

Zusätzliches Material: 6 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620020206

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Digitale Medien

A conforming crack tip element with quadratic variation in the singular fields (1978)

Stern, Morris ; Becker, Eric B.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 12 (1978), S. 279-288

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ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: Shape functions are given for a six node triangular element in which the √r displacement filed varies quadratically in the circumferential direction. Using a convenient co-ordinate system the stiffness development is sketched and the integrations re done exactly in the radial co-ordinate direction. Brief numerical results are presented. Shape functions for a 15 node three-dimensional element are given explicitly. The shape functions provide both constant strain capability and conformability with quadratic isoparametric elements.

Zusätzliches Material: 6 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620120209

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Digitale Medien

A finite element procedure for axisymmetric elastomeric solids under general loading (1993)

Marusak, Ronald E. ; Becker, Eric B.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 36 (1993), S. 2031-2048

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ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: A finite element procedure, which utilizes Fourier series, is developed to compute the large deformations and deflections in axisymmetric elastomeric solids subjected to non-axisymmetric loading. Nearly incompressible and incompressible, isotropic strain energy density functions describe the elastic properties. The nearly incompressible functions become compatible with an analytical integration scheme by using a novel variable to approximate the dilatation. A large spherical elastomeric bearing is analysed with this procedure.

Zusätzliches Material: 8 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620361206

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Finite elements: ¬An¬ introduction; Vol. 1 (1981)

Becker, Eric B. ; Carey, Graham F. ; Oden, J. Tinsley

Englewood Cliffs, NJ :Prentice-Hall,

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Titel: Finite elements: ¬An¬ introduction; Vol. 1

Autor: Becker, Eric B.

Beteiligte Person(en): Carey, Graham F. , Oden, J. Tinsley

Verlag: Englewood Cliffs, NJ :Prentice-Hall,

Erscheinungsjahr: 1981

Seiten: 258 S.

Serie: Texas finite element series Vol. 1

Materialart: Buch

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