High stress intensities in focussing zones of waves. Ballmann, J., Raatschen, H., & Staat, M. In Local Effects in the Analysis of Structures., pages 235–252. Elsevier, Amsterdam, 1985. ZSCC: NoCitationData[s0] Paper doi abstract bibtex 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.
@incollection{ballmann_high_1985,
title = {High stress intensities in focussing zones of waves},
copyright = {All rights reserved},
isbn = {978-0-444-42520-1},
url = {http://linkinghub.elsevier.com/retrieve/pii/B9780444425201500153},
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.},
booktitle = {Local {Effects} in the {Analysis} of {Structures}.},
publisher = {Elsevier, Amsterdam},
author = {Ballmann, Josef and Raatschen, Hans-Jürgen and Staat, Manfred},
editor = {Ladeveze, P},
year = {1985},
doi = {10.1016/B978-0-444-42520-1.50015-3},
note = {ZSCC: NoCitationData[s0] },
pages = {235--252},
}
Downloads: 0
{"_id":"C2nxS4e9Mrd8dhsK4","bibbaseid":"ballmann-raatschen-staat-highstressintensitiesinfocussingzonesofwaves-1985","authorIDs":["5dba9b3cdd3901df010000ff","5dbc2e733d8602de01000053","7jhRHDZJ6AgPa9GzF"],"author_short":["Ballmann, J.","Raatschen, H.","Staat, M."],"bibdata":{"bibtype":"incollection","type":"incollection","title":"High stress intensities in focussing zones of waves","copyright":"All rights reserved","isbn":"978-0-444-42520-1","url":"http://linkinghub.elsevier.com/retrieve/pii/B9780444425201500153","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.","booktitle":"Local Effects in the Analysis of Structures.","publisher":"Elsevier, Amsterdam","author":[{"propositions":[],"lastnames":["Ballmann"],"firstnames":["Josef"],"suffixes":[]},{"propositions":[],"lastnames":["Raatschen"],"firstnames":["Hans-Jürgen"],"suffixes":[]},{"propositions":[],"lastnames":["Staat"],"firstnames":["Manfred"],"suffixes":[]}],"editor":[{"propositions":[],"lastnames":["Ladeveze"],"firstnames":["P"],"suffixes":[]}],"year":"1985","doi":"10.1016/B978-0-444-42520-1.50015-3","note":"ZSCC: NoCitationData[s0] ","pages":"235–252","bibtex":"@incollection{ballmann_high_1985,\n\ttitle = {High stress intensities in focussing zones of waves},\n\tcopyright = {All rights reserved},\n\tisbn = {978-0-444-42520-1},\n\turl = {http://linkinghub.elsevier.com/retrieve/pii/B9780444425201500153},\n\tabstract = {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.},\n\tbooktitle = {Local {Effects} in the {Analysis} of {Structures}.},\n\tpublisher = {Elsevier, Amsterdam},\n\tauthor = {Ballmann, Josef and Raatschen, Hans-Jürgen and Staat, Manfred},\n\teditor = {Ladeveze, P},\n\tyear = {1985},\n\tdoi = {10.1016/B978-0-444-42520-1.50015-3},\n\tnote = {ZSCC: NoCitationData[s0] },\n\tpages = {235--252},\n}\n\n","author_short":["Ballmann, J.","Raatschen, H.","Staat, M."],"editor_short":["Ladeveze, P"],"key":"ballmann_high_1985","id":"ballmann_high_1985","bibbaseid":"ballmann-raatschen-staat-highstressintensitiesinfocussingzonesofwaves-1985","role":"author","urls":{"Paper":"http://linkinghub.elsevier.com/retrieve/pii/B9780444425201500153"},"metadata":{"authorlinks":{"staat, m":"https://bibbase.org/show?bib=https%3A%2F%2Fapi.zotero.org%2Fusers%2F6114608%2Fcollections%2FTJTBXR6Y%2Fitems%3Fkey%3DqbBfhA5sX7Oco1IT48KAsV2v%26format%3Dbibtex%26limit%3D100&msg=embed"}},"downloads":0},"bibtype":"incollection","creationDate":"2019-10-31T08:28:44.248Z","downloads":0,"keywords":[],"search_terms":["high","stress","intensities","focussing","zones","waves","ballmann","raatschen","staat"],"title":"High stress intensities in focussing zones of waves","year":1985,"biburl":"https://api.zotero.org/users/6114608/collections/TJTBXR6Y/items?key=qbBfhA5sX7Oco1IT48KAsV2v&format=bibtex&limit=100","dataSources":["cPhhAkHmzKqReLvdL","i5FJs3p7i69258A5p","6oZq3hyFvk3yWvfWa","J85Tv7d2C3MXhGnoK"]}