Formulation of stiffness equation for a three-dimensional isoparametric element with elastic-plastic material and large deformation

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The formulation of the stiffness equation for an 8 to 21 node isoparametric element with elastic-plastic material and large deformation is presented. The formulation has been implemented in a nonlinear finite element program for the analysis of three-dimensional continuums. To demonstrate the utility of the formulation, a thick-walled cylinder was analyzed and the results are compared favorably with a known solution. The element type presented can be applied not only to 3-D continuums, but also to plate or shell structures, for which degenerated isoparametric elements may be used. (auth)

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17 p.

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Chang, T.Y.; Prachuktam, S. & Reich, M. November 1, 1975.

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Description

The formulation of the stiffness equation for an 8 to 21 node isoparametric element with elastic-plastic material and large deformation is presented. The formulation has been implemented in a nonlinear finite element program for the analysis of three-dimensional continuums. To demonstrate the utility of the formulation, a thick-walled cylinder was analyzed and the results are compared favorably with a known solution. The element type presented can be applied not only to 3-D continuums, but also to plate or shell structures, for which degenerated isoparametric elements may be used. (auth)

Physical Description

17 p.

Notes

Dep. NTIS

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  • Other Information: Orig. Receipt Date: 30-JUN-76

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  • Report No.: BNL--20684
  • Grant Number: None
  • DOI: 10.2172/4091809 | External Link
  • Office of Scientific & Technical Information Report Number: 4091809
  • Archival Resource Key: ark:/67531/metadc863509

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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Creation Date

  • November 1, 1975

Added to The UNT Digital Library

  • Sept. 16, 2016, 12:32 a.m.

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  • Oct. 12, 2017, 2:20 p.m.

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Chang, T.Y.; Prachuktam, S. & Reich, M. Formulation of stiffness equation for a three-dimensional isoparametric element with elastic-plastic material and large deformation, report, November 1, 1975; Upton, New York. (digital.library.unt.edu/ark:/67531/metadc863509/: accessed October 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.