A Principles of Hyperplasticity part 14 doc
A Principles of Hyperplasticity part 14 doc
...
Treatments of the mechanics of elastic/plastic materials that use convex analysis
notation may be found in Maugin (1992), Reddy and Martin (1994), and notably
Han and Reddy (1999).
Because ... for any x that is a member of the set
and
f
elsewhere. Although this appears at first sight to be a rather curious
function, it proves to have many applications. In particular, it pl...
A Principles of Hyperplasticity Part 6 doc
... is that it requires the specification of a tensor-valued functional
(the stress as a functional of the strain history). This is clearly a challenging
task. An advantage of the approach adopted ... instead expresses the
response in terms of functionals of the history of the material (usually through
the history of strain and temperature). Both approaches have advantages...
A Principles of Hyperplasticity Part 9 doc
... the laws of thermodynamics,
and at the same time account for many important aspects of soil behaviour.
Houlsby and Mortara (2004) explore an approach to the behaviour of fric-
tional materials ... plastic dissipation for geotechnical materials. Hyper-
plasticity is used to analyse the stress–dilatancy relation for shear deformations
of frictional, granular materials. Central to this...
A Principles of Hyperplasticity part 10 doc
... Comparison with Experimental Results
We now compare this model with experimental data obtained by Vaid and Cam-
panella (1977) for the behaviour of a natural clay. Figure 11. 7a shows the data ...
Note that for a rate-dependent material, the time increment in a calculation
has a real physical meaning, whilst for a rate-independent material, the time
increment is artificial. F...
A Principles of Hyperplasticity part 15 docx
...
Shaw, P. and Brown, S.F. (1988) Behaviour of granular materials under repeated load biaxial and
triaxial stress conditions, Géotechnique, Vol. 38, No. 4, 627634
Stallebrass, S.E. and Taylor, ... Norris, V .A. , and Zienkiewicz, O.C. (1979). Application of an anisotropic hardening model
in the analysis of elasto-plastic deformation of soil, Géotechnique, Vol. 29, No. 1, 134
Index...
A Principles of Hyperplasticity Part 1 pdf
... a finite series of similar variables
o
a
initial value of
a
a
rate of
a
with time,
{w w
aat
a
material derivative,
{
,
ii
aaav
ˆ
a
any function of the internal variable ... is certainly large, and can encompass a very wide range of rate-
independent materials within a single framework.
It should also be stated that, as far as the authors are awar...
A Principles of Hyperplasticity Part 2 ppsx
... notation for large strain analysis, and often developing
a somewhat axiomatic approach in which thermodynamics is introduced at
a very general level. The disadvantages of this approach are twofold. ... plastic strains have become well established
over many years, but they are based on empirical observation, first of metals and
later of many other materials. The concept of a
y...
A Principles of Hyperplasticity Part 3 ppt
... internal energy expression is related to a par-
ticular aspect of the physical behaviour of the material. Once a familiarity is
established with the aspects of behaviour that are related to particular ... is that the state of
a material is entirely determined by the values of a certain set of independent
variables: the kinematic variables (strain and internal variables)...
A Principles of Hyperplasticity Part 4 ppt
... strains (
e.
g.
incompressible behaviour) or on the rates of the internal variables (
e.
g.
dilational constraints for granular materials). A full treatment of constraints
would not be appropriate ... Elastic and Plastic Models in Hyperplasticity
they represent the areas shown in the figure. For the special case that the energy
functions are quadratic functions, the areas f a...
A Principles of Hyperplasticity Part 5 ppt
... de-
termined by calibration against experimental unloading-reloading curves.
A variety of forms have been suggested in the literature.
The advantage of the bounding surface approach is that, apart from ... discrete set of internal variables are introduced. A direct application of this
generalisation is the thermomechanical formulation of kinematic hardening
plasticity with an...