Journal article
A SPACE–TIME FINITE ELEMENT METHOD FOR ELASTO-PLASTIC SHOCK DYNAMICS
Journal of sound and vibration, Vol.222(1), pp.65-84
04/22/1999
DOI: 10.1006/jsvi.1998.2033
Abstract
A space–finite element method (STFEM) for elastoplastic dynamic analysis is proposed in this paper. A weak form of the governing equation which corresponds to the conservation of impulse-momentum (the shock-momentum equation) is established, based on which STFEM equations are derived. A family of linear temporal shape functions is studied, which for linear elasticity, the ensuing STFEM algorithm is equivalent to the Newmark algorithm with γ=0·5. Rate-dependent plasticity is incorporated into the model. As a numerical example, a cantilever beam under shock loading is analyzed. The results show that the propagation of shock waves is drastically slowed down by the presence of plasticity. Also, because the plastic deformation tends to be localized in the vicinity of the impact, a full transient analysis is essential, in order to accurately determine the locations of the plastic hinges.
Details
- Title: Subtitle
- A SPACE–TIME FINITE ELEMENT METHOD FOR ELASTO-PLASTIC SHOCK DYNAMICS
- Creators
- R.P.S Han - Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242, U.S.AJ Lu - Department of Mechanical Engineering, University of California, Berkeley, CA 94720, U.S.A
- Resource Type
- Journal article
- Publication Details
- Journal of sound and vibration, Vol.222(1), pp.65-84
- Publisher
- Elsevier Ltd
- DOI
- 10.1006/jsvi.1998.2033
- ISSN
- 0022-460X
- eISSN
- 1095-8568
- Language
- English
- Date published
- 04/22/1999
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064212302771
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