A Principles of Hyperplasticity Part 6 doc
A Principles of Hyperplasticity Part 6 doc
... temperature). Both approaches have advantages and
drawbacks. Rational mechanics achieves great generality, but at the expense that
it has so far proved difficult to express simple material models ... within a large-
scale yield surface and the material memory for modelling cyclic and transient
behaviour. The case of an infinite number of internal variables (i.
e. an internal
varia...
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 ... strain rate, whilst at high
values of
rH
, it increases linearly with the logarithm of the strain rate. This
represents quite realistically the behaviour of a number of material...
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 ... Chain of four partial Legendre transformations
3 26 Appendix D Convex Analysis
that
xV
and *xV
c
. More generally,
V
c
is termed the topological dual space
of V (the space of lin...
A Principles of Hyperplasticity part 15 docx
... (1979). Application of an anisotropic hardening model
in the analysis of elasto-plastic deformation of soil, Géotechnique, Vol. 29, No. 1, 134
Index
A
adiabatic 43– 46, 49, 66 , 67 , 79, 2 56
advanced ...
Shaw, P. and Brown, S.F. (1988) Behaviour of granular materials under repeated load biaxial and
triaxial stress conditions, Géotechnique, Vol. 38, No. 4, 62 7 63 4
Stalle...
A Principles of Hyperplasticity Part 1 pdf
... 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
K
,
{K
ˆˆ
aa
... 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 aware, i...
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
...
which can of course be manipulated into a variety of other forms.
5.1.5 Hierarchy of Isotropic Elastic Models
An advantage of the hyperelastic approach (here extended to include thermal
effects) ... strains (
e.
g.
incompressible behaviour) or on the rates of the internal variables (
e.
g.
dilational constraints for granular materials). A full treatment of constraint...
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...
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