A new methodology for computing dynamic stress intensity factors in the frequency domain based on the mixed boundary element method, a combination of the equations corresponding to the integral representations of displacements and tractions, is proposed and analysed. The expressions of hypersingular
The mixed finite element method for the quasi-static and dynamic analysis of viscoelastic timoshenko beams
✍ Scribed by Yalçin Aköz; Fethi Kadioǧlu
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 213 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
The quasi-static and dynamic responses of a linear viscoelastic Timoshenko beam on Winkler foundation are studied numerically by using the hybrid Laplace-Carson and finite element method. In this analysis the field equation for viscoelastic material is used. In the transformed Laplace-Carson space two new functionals have been constructed for viscoelastic Timoshenko beams through a systematic procedure based on the Gaˆteaux differential. These functionals have six and two independent variables respectively. Two mixed finite element formulations are obtained; TB12 and TB4. For the inverse transform Schapery and Fourier methods are used. The numerical results for quasi-static and dynamic responses of several visco-elastic models are presented.
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