Space-time partial hybrid stress element for linear elastodynamic analysis of anisotropic materials

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Abstract

The variational basis and finite-element implementation for the space-time partial hybrid stress element is presented in this paper. Through convolution integration and dividing the six stress components into flexural (σx, σy, σz, τxy) and transverse shear (τxz, τyz) parts, the Hellinger-Reissner functional or the total potential energy functional can be modified as the basis for constructing the space-time partial hybrid stress element. By assuming Hermitian interpolation functions in time, displacement field for flexural stresses, and hybrid stress for transverse shear, the space-time partial hybrid stress element can be established for linear elastodynamic analysis consistently without any contradiction.

Original languageEnglish
Pages (from-to)39-45
Number of pages7
JournalCommunications in Applied Numerical Methods
Volume7
Issue number1
DOIs
Publication statusPublished - 1991 Jan 1

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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