Abstract
The static and dynamic indentation of structural elements such as beams and plates continue to be intriguing problems, especially for scenarios where large area contacts are expected to occur. Standard methods of indentation analyses use a beam theory solution to obtain an overall load-displacement relationship and then a Hertzian contact solution to calculate local stresses under the indenter. However, these techniques are only applicable in a fairly limited class of problems: the stress distribution in the contact region will differ significantly from a Hertzian one when the contact length exceeds the thickness of the beam. The indentation models developed herein are improvements over existing GLOBAL/LOCAL models for static and dynamic indentation of cantilever beams. Maximum contact stresses, beam displacements, and contact force time histories are obtained and compared with the predictions of current static and dynamic indentation models. The validity of the solutions presented herein is further assessed by comparing the results obtained to the predictions of modified beam theory solutions. © 2001 Elsevier Science Ltd. All rights reserved.
Recommended Citation
M. Zhou and W. P. Schonberg, "Smooth Static and Dynamic Indentation of a Cantilever Beam," International Journal of Solids and Structures, vol. 39, no. 2, pp. 297 - 310, Elsevier, Dec 2001.
The definitive version is available at https://doi.org/10.1016/S0020-7683(01)00212-8
Department(s)
Civil, Architectural and Environmental Engineering
Keywords and Phrases
Cantilever beam; GLOBAL/LOCAL; Low velocity impact; Non-hertzian contact; Static indentation
International Standard Serial Number (ISSN)
0020-7683
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Elsevier, All rights reserved.
Publication Date
28 Dec 2001
