Incompressible or nearly incompressible soil dynamic behaviour—a new staggered algorithm to circumvent restrictions of mixed formulation
✍ Scribed by Maosong Huang; Shiming Wu; O.C. Zienkiewicz
- Book ID
- 104322452
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 817 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0267-7261
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✦ Synopsis
The restriction of the Babuska±Brezzi stability criteria for the mixed formulation requires non-uniform interpolation of displacement and pore-pressure variables, which complicates the coding in the ®nite element analysis. This will certainly preclude the use of many otherwise useful elements. A possible solution to overcome this problem introduced earlier by the authors requires a semi-explicit form. However, the effectiveness of the semi-explicit procedure is dependent on the time step length used, which presents dif®culties for transient analysis. In this paper, an unconditionally stable staggered implicit-implicit algorithm is developed, which is generalised from the semi-explicit form. For non-uniform mesh con®gurations, the results indicate a signi®cant improvement compared with those obtained by using the semi-explicit procedure.