Sciact
  • EN
  • RU

The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity Full article

Journal International Journal of Engineering Science
ISSN: 0020-7225
Output data Year: 2020, Volume: 151, Article number : 103272, Pages count : DOI: 10.1016/j.ijengsci.2020.103272
Tags Axisymmetric body; Boussinesq problem; Closed form solution; Fourier–Bessel transform; Implicit material response; Linear viscoelasticity; Papkovich–Neuber representation; Potential theory; Punch indentation
Authors Itou Hiromichi 1 , Kovtunenko Victor A. 2,3,4 , Rajagopal Kumbakonam R. 5
Affiliations
1 Department of Mathematics, Tokyo University of Science
2 Institute for Mathematics and Scientific Computing, University of Graz, NAWI Graz
3 Institute of Analysis and Number Theory, Graz University of Technology, NAWI Graz, Kopernikusgasse 24, Graz 8010, Austria
4 Lavrentyev Institute of Hydrodynamics, Siberian Division of the Russian Academy of Sciences
5 Department of Mechanical Engineering, Texas A&M University

Abstract: The Boussinesq problem, namely the indentation of a flat-ended cylindrical punch into a viscoelastic half-space is studied. We assume a linear viscoelastic model wherein the linearized strain is expressed as a function of the stress. However, this expression is not invertible, which makes the problem very interesting. Based on the Papkovich–Neuber representation in potential theory and using the Fourier–Bessel transform for axisymmetric bodies, an analytical solution of the resulting time-dependent integral equation is constructed. Consequently, distribution of the displacement and the stress fields in the half space with respect to time is obtained in the closed form.
Cite: Itou H. , Kovtunenko V.A. , Rajagopal K.R.
The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity
International Journal of Engineering Science. 2020. V.151. 103272 . DOI: 10.1016/j.ijengsci.2020.103272 WOS Scopus РИНЦ OpenAlex
Identifiers:
Web of science: WOS:000528000100002
Scopus: 2-s2.0-85082664900
Elibrary: 43254905
OpenAlex: W3015495736
Citing:
DB Citing
Scopus 16
OpenAlex 19
Elibrary 15
Web of science 18
Altmetrics: