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An investigation of the stability of numerical solutions of Biot's equations of consolidation

✍ Scribed by J.R. Booker; J.C. Small

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
698 KB
Volume
11
Category
Article
ISSN
0020-7683

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πŸ“œ SIMILAR VOLUMES

An investigation of the stability of num
An investigation of the stability of numerical solutions of the equations of viscoelasticity
✍ J. R. Booker; J. C. Small πŸ“‚ Article πŸ“… 1977 πŸ› John Wiley and Sons 🌐 English βš– 429 KB

## Abstract In this paper the correspondence principle is used to reduce the equations of viscoelasticity to the equations of elasticity by means of a Laplace transform. The finite element technique is used to approximate these equations in Laplace transform space. The approximating equations are

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Von Neumann stability analysis is performed for a Galerkin ΓΏnite element formulation of Biot's consolidation equations on two-dimensional bilinear elements. Two dimensionless groups-the Time Factor and Void Factor-are identiΓΏed and these quantities, along with the time-integration weighting, are use

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