Abstract
After many years of study, granular materials still present problems to the mathematical modeller. It is agreed that their behaviour is broadly in line with the theory of plasticity: there is often a well defined yield point and the resistance to deformation is approximately rate independent. It is a relatively simple matter to write down plausible yield functions (ψ) in terms of the components of stress (σ ij ) such that when ψ < 0 no deformation takes place while when ψ = 0 some plastic deformation can occur. The difficult problem, however, is to decide how the strain increment is apportioned between the various components (ė ij ) by defining a flow rule. Unfortunately it has not been easy to find a consistent way of formulating such flow rules so as to ensure that the corresponding energy dissipation is always positive [1,2]. This paper reviews some of the current procedures for linking the flow rule with the yield, plastic potential or dissipation functions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A.J.M.Spencer,in Mechanics of Solids, The Rodney Hill 60th Anniversmy Volume(ed. H.G.Hopkins and M.J.Sewell), Pergamon Press, Oxford (1982) pp607–652.
D.Harris, Q Jl Mech Appl. Math, 46 (1993) 41–69.
P.V.Lade, int. J. Nurner. Anal. Methods Geomech.,12 (1988) 351–370.
D.C.Drucker, R.E.Gibson and D.J.Henkel, Trans. ASCE, 122 (1957) 338–346.
H.W.Chandler, J. Mech. Phys. Solids, 33 (1985) 215–226.
H.W.Chandler, hit. J. Engng Sci, 28 (1990) 719–734.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Chandler, H.W. (1995). On the Volume Changes of Granular Materials and Their Consequences for Plasticity Theory. In: Parker, D.F., England, A.H. (eds) IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics. Solid Mechanics and Its Applications, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8494-4_32
Download citation
DOI: https://doi.org/10.1007/978-94-015-8494-4_32
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4589-8
Online ISBN: 978-94-015-8494-4
eBook Packages: Springer Book Archive