%0 Book Section %1 ballmann1985high %A Ballmann, Josef %A Raatschen, Hans-Jürgen %A Staat, Manfred %B Local Effects in the Analysis of Structures. %D 1985 %E Ladeveze, P %I Elsevier, Amsterdam %K imported %P 235--252 %R 10.1016/B978-0-444-42520-1.50015-3 %T High stress intensities in focussing zones of waves %U http://linkinghub.elsevier.com/retrieve/pii/B9780444425201500153 %X 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 a linearly elastic plate. %@ 9780444425201

@incollection{ballmann1985high, abstract = {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 a linearly elastic plate.}, added-at = {2019-12-23T09:34:32.000+0100}, author = {Ballmann, Josef and Raatschen, Hans-J{\"{u}}rgen and Staat, Manfred}, biburl = {https://www.bibsonomy.org/bibtex/2119f86ca9a9bab8a8faacf1125905677/staat}, booktitle = {Local Effects in the Analysis of Structures.}, doi = {10.1016/B978-0-444-42520-1.50015-3}, editor = {Ladeveze, P}, interhash = {a7b1053f16f194db94babb94789ad884}, intrahash = {119f86ca9a9bab8a8faacf1125905677}, isbn = {9780444425201}, keywords = {imported}, pages = {235--252}, publisher = {Elsevier, Amsterdam}, timestamp = {2019-12-23T09:34:32.000+0100}, title = {{High stress intensities in focussing zones of waves}}, url = {http://linkinghub.elsevier.com/retrieve/pii/B9780444425201500153}, year = 1985 }