INCREMENTAL MATRIX FORM OF AN ELASTIC VISCOPLASTIC MODEL FOR SOILS
Incremental stress-strain-time relationships have been developed for an elastic viscoplastic model of soils exhibiting the following particularities: (a) for the distortional part of plastic strain components the yield surfaces are open-ended circular cylinders whose axis is the space diagonal, while for the spheric part the yield surfaces are octahedral planes perpendicular to the space diagonal. (b) an associative flow rule has been applied. (C) yield functions are expressed in terms of octahedral values of stresses and strains and of time. The resulting relationships have the form (eq 39) (do') = (M) (de) + (T) dt. The matrix (M) and vector (t) depend on stresses and on differential quotients of yield functions with respect to octahedral strains and to time. Particular expressions of these differential quotients have been presented for yield functions corresponding to the behaviour of soil as a non-linear kelvin body. Prevost and hoeg's incremental plasticity theory has been considered as a special case of the prsent relationships. In a preceding study (Saje, Kovacic and Suklje, 1979) the simultaneous solution of diffusion and equilibrium equations was developed, in plain strain conditions, for saturated soils whose visco-hypoelastic model was presented in the same incremental matrix form; the composition of the matrix (M) and vector (t) is different, their members, however, depend upon the same parameters. Thus, the preceding solution can be applied also for rheological relationships developed in the present paper. (TRRL)
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Availability:
- Find a library where document is available. Order URL: http://worldcat.org/issn/03740633
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Authors:
- Suklje, L
- Publication Date: 1982
Language
- English
Media Info
- Features: References;
- Pagination: p. 1-15
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Serial:
- ACTA Geotech
- Issue Number: 83
- Publisher: Institut za Geodezijo
- ISSN: 0374-0633
Subject/Index Terms
- TRT Terms: Deformation curve; Development; Diffusion (Optics); Elasticity (Mechanics); Equations; Equilibrium (Mechanics); Mathematical models; Matrices (Mathematics); Percent saturation; Plasticity; Rheology; Soil mechanics; Soils; Strain (Mechanics); Stresses; Time; Vector analysis; Viscoelastic materials; Viscosity
- Old TRIS Terms: Viscoelastic media
- ITRD Terms: 5595: Deformation; 5907: Degree of saturation (mater); 9013: Development; 6769: Diffusion; 5912: Elasticity; 7145: Equilibrium; 6473: Mathematical model; 6494: Matrix; 5922: Plasticity; 5442: Rheology; 4156: Soil; 5575: Stress (in material); 5414: Time; 6493: Vector; 5936: Viscosity
- Subject Areas: Geotechnology; Highways;
Filing Info
- Accession Number: 00379998
- Record Type: Publication
- Source Agency: Transport and Road Research Laboratory (TRRL)
- Files: ITRD, TRIS
- Created Date: Jan 30 1984 12:00AM