Third‐Invariant Model for Rate‐Dependent Soils
- 1 February 1985
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Geotechnical Engineering
- Vol. 111 (2) , 181-192
- https://doi.org/10.1061/(asce)0733-9410(1985)111:2(181)
Abstract
A theory of viscoplasticity for frictional materials is developed in which first and third invariants of stress and strain are used instead of the more conventional second invariants. Rate effects are incorporated directly into the expression for the flow surface so that the numerical algorithm for a plasticity subroutine can be used. The usual concepts of strain‐ and strain rate‐hardening viscoplasticity are used, except that a non‐associated flow rule is required to control dilatation. For two sandy materials, detailed comparisons are made of theoretical and experimental stress‐strain data for both static and dynamic paths.Keywords
This publication has 6 references indexed in Scilit:
- Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfacesPublished by Elsevier ,2003
- A Third-Invariant Plasticity Theory for Frictional MaterialsJournal of Structural Mechanics, 1983
- A Thermoelastic-Viscoplastic Model With a Rate-Dependent Yield StrengthJournal of Applied Mechanics, 1982
- Loading Rate Effects on Compressibility of SandJournal of the Geotechnical Engineering Division, 1980
- Cubical Triaxial Tests on Cohesionless SoilJournal of the Soil Mechanics and Foundations Division, 1973
- Fundamental Problems in ViscoplasticityPublished by Elsevier ,1966