A Principles of Hyperplasticity Part 1 pdf
A Principles of Hyperplasticity Part 1 pdf
... 211
11 .1 Theoretical Background 211
11 .1. 1 Preliminaries 211
11 .1. 2 The Force Potential and the Flow Potential 213
11 .1. 3 Incremental Response 215
11 .2 Examples 216
11 .2 .1 One-dimensional ... illustrated in Table 1. 1.
Contents
1 Introduction 1
1 .1 Plasticity and Thermodynamics 1
1 .1. 1 Purpose of this Book 1
1 .1. 2 Advantages of Our Approach 2
1. 1.3 Gene...
A Principles of Hyperplasticity Part 7 pdf
... certain materials more accurately across a wide
range of strain amplitudes. This is important, for instance, in modelling geo-
technical materials (Houlsby, 19 99). The disadvantage is that a large ... the above example, we showed how the choice of a particular pair of func-
tionals leads to a material model with a specific stress-strain curve. In certain
circumstances, it...
A Principles of Hyperplasticity Part 8 pdf
... 9.5 Applications in Geomechanics: Elasticity and Small Strains 18 1
where
ae
a
Le
aa
aa
K
, so that
aa
aa K.
Then, substituting Equation (9.89) in (9.86) and the result in (9.84) and ... Elasticity and Small Strains 17 7
reproduce the characteristic S-shaped curve in a plot of normalised secant shear
stiffness
o
GG against shear strain
log
J
and to generalise this...
A Principles of Hyperplasticity Part 2 ppsx
... 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
yield surface ...
Lemaitre and Chaboche (19 90), Maugin (19 92, 19 99), Coussy (19 95). In this con-
text, what we call a hyperplastic material has much in common with what the
French authors define as a...
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
...
instance, often forms a central part of a finite element analysis. Therefore, one of
the most important criteria that needs to be applied to the formulation of any
model is that the incremental ... stress and strain are
possible, subject to analogous conditions.
4 .11 .3 Internal Variable and Generalised Stress
Transformations between u, f, h, and g, in terms of the intern...
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...
A Principles of Hyperplasticity Part 6 doc
... functionals of the history of the material (usually through
the history of strain and temperature). Both approaches have advantages and
drawbacks. Rational mechanics achieves great generality, ... 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 here is...
A Principles of Hyperplasticity Part 9 doc
... derived, it follows that
11 22 33 11 22 33
1
3
dkakaka FD F D F D
(10 .11 1)
Substitution of Equations (10 .10 7)– (10 .11 0), and
12 3
0aaa
in (10 .11 1)
gives the following ... 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...
A Principles of Hyperplasticity part 10 doc
... experimental data obtained by Vaid and Cam-
panella (19 77) for the behaviour of a natural clay. Figure 11 . 7a shows the data
they obtained in undrained triaxial compression tests at different rates. ... numerical integration (using forward differences with
Chapter 11
Rate Effects
11 .1 Theoretical Background
11 .1. 1 Preliminaries
So far we have considered only materials that...
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