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High stress intensities in focussing zones of waves

  • The propagation of mechanical waves in plates of isotropic elastic material is investigated. After a short introduction to the understanding of focussing of stress waves in a plate with a curved boundary the method of characteristics is applied to a plate of hyperelastic material. Using this method the propagation of acceleration waves is discussed. Based on this a numerical difference scheme is developed for solving initial-boundary-value problems and applied to two examples: propagation of a point disturbance in a homogeneously finitely strained non-linear elastic plate and geometrical focussing in al linear elastic plate.

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Metadaten
Author:J. Ballmann, Hans-Jürgen Raatschen, Manfred Staat
DOI:https://doi.org/10.1016/B978-0-444-42520-1.50015-3
DOI:https://doi.org/10.21269/264
Document Type:Conference Proceeding
Language:English
Year of Completion:1985
Publishing Institution:Fachhochschule Aachen
Date of the Publication (Server):2009/10/08
Tag:Wellen
mechanical waves
GND Keyword:Technische Mechanik
Source:Local effects in the analysis of structures : [selection of papers presented at the Euromech Colloquium "Inclusion of Local Effects in the Analysis of Structures", held Sept. 11-14, 1984 ... Cachan, France] / ed. by Pierre Ladevèze. Amsterdam : Elsevier, 1985. S. 235-252
Institutes:FH Aachen / Fachbereich Medizintechnik und Technomathematik
Dewey Decimal Classification:6 Technik, Medizin, angewandte Wissenschaften / 62 Ingenieurwissenschaften / 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten