An isotropic frictional theory for a granular medium with or without cohesion

Dais, J. L.

doi:10.1016/0020-7683(70)90055-7

Cited by 11 publications

(1 citation statement)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Neither of the results quoted above are applicable since the first requires a differentiable yield function and the second a unique correspondence between the tensors of stress and strain rate or their deviators. Moreover, coincidence does not hold for an isotropic frictional material [4], which obeys the verbal hypotheses upon which coincidence for the Tresca material is generally taken.In Sec. 1 a pictorial description of the rigid perfectly plastic Tresca material is given and it is explained why coincidence does not hold for the conceptually similar frictional material.…”

mentioning

confidence: 99%

On stress-strain relations for isotropic rigid perfectly plastic solids

Dais¹

1969

Quart. Appl. Math.

View full text Add to dashboard Cite

Abstract.Sufficient conditions under which principal directions of stress and strain rate must coincide are established rigorously. It is the coincidence of these directions which permits a proper interpretation of principal strain rate components in principal stress space.Introduction. A rigid perfectly plastic solid is characterized by a "yield" or "limit" surface /( where a',-is the stress deviator tensor) then normality requires that for some scalar X, ei; = X(3//3o-i,) = XaJ,-; coincidence of principal directions of stress and strain rate is then immediate since the principal axes of the stress and stress deviator tensors coincide.More generally, if / is a function of stress invariants which is differentiable in the components of cr,, then the principal directions of cr,,-and d//d cr2 > c3 . Deformation occurs by simple shearing in the direction of the shear stress vector T if the magnitude r of T reaches a critical value k. Since the planes of maximum shearing, called slip planes, are orthogonal, the simple

show abstract

mentioning

confidence: 99%