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This book has following unique features that distinguish it from
other works from the same area: 1) Investigates the influence of
fissure geometry on strength failure and crack evolution behaviour
of real rock material; 2) Analyzes the effect of pre-experiment
high-temperature treatment on fracture mechanical behaviour of rock
material with a single fissure or two parallel fissures; 3)
Compares quantitatively simulated results using discrete element
modelling and experimental results of fracture mechanical behaviour
of rock material with two fissures; 4) Constructs the relationship
between crack evolution processes and acoustic emission
distribution of pre-fissured rock material under entire
deformation; and 5) Discusses the crack evolution mechanism of
pre-fissured rock material with respect to different confining
pressures. This book can become the reference for technicians in
the field of geotechnical engineering, mining engineering and
geology engineering. At the same time, this book can be regarded as
a good reference for scientific researchers carrying out fissured
rock mechanics and correlated specialties.
Lagrange and penalty function methods provide a powerful approach,
both as a theoretical tool and a computational vehicle, for the
study of constrained optimization problems. However, for a
nonconvex constrained optimization problem, the classical Lagrange
primal-dual method may fail to find a mini mum as a zero duality
gap is not always guaranteed. A large penalty parameter is, in
general, required for classical quadratic penalty functions in
order that minima of penalty problems are a good approximation to
those of the original constrained optimization problems. It is
well-known that penaity functions with too large parameters cause
an obstacle for numerical implementation. Thus the question arises
how to generalize classical Lagrange and penalty functions, in
order to obtain an appropriate scheme for reducing constrained
optimiza tion problems to unconstrained ones that will be suitable
for sufficiently broad classes of optimization problems from both
the theoretical and computational viewpoints. Some approaches for
such a scheme are studied in this book. One of them is as follows:
an unconstrained problem is constructed, where the objective
function is a convolution of the objective and constraint functions
of the original problem. While a linear convolution leads to a
classical Lagrange function, different kinds of nonlinear
convolutions lead to interesting generalizations. We shall call
functions that appear as a convolution of the objective function
and the constraint functions, Lagrange-type functions.
'Optimization Day' (OD) has been a series of annual
mini-conferences in Aus tralia since 1994. The purpose of this
series of events is to gather researchers in optimization and its
related areas from Australia and their collaborators, in order to
exchange new developments of optimization theories, methods and
their applications. The first four OD mini-conferences were held in
The Uni versity of Ballarat (1994), The University of New South
Wales (1995), The University of Melbourne (1996) and Royal
Melbourne Institute of Technology (1997), respectively. They were
all on the eastern coast of Australia. The fifth mini-conference
Optimization Days was held at the Centre for Ap plied Dynamics and
Optimization (CADO), Department of Mathematics and Statistics, The
University of Western Australia, Perth, from 29 to 30 June 1998.
This is the first time the OD mini-conference has been held at the
west ern coast of Australia. This fifth OD preceded the
International Conference on Optimization: Techniques and
Applications (ICOTA) held at Curtin Uni versity of Technology. Many
participants attended both events. There were 28 participants in
this year's mini-conference and 22 presentations in the mini
conference. The presentations in this volume are refereed
contributions based on papers presented at the fifth Optimization
Days mini-conference. The volume is di vided into the following
parts: Global Optimization, Nonsmooth Optimization, Optimization
Methods and Applications."
This edited book is dedicated to Professor N. U. Ahmed, a leading
scholar and a renowned researcher in optimal control and
optimization on the occasion of his retirement from the Department
of Electrical Engineering at University of Ottawa in 1999. The
contributions of this volume are in the areas of optimal control,
non linear optimization and optimization applications. They are
mainly the im proved and expanded versions of the papers selected
from those presented in two special sessions of two international
conferences. The first special session is Optimization Methods,
which was organized by K. L. Teo and X. Q. Yang for the
International Conference on Optimization and Variational
Inequality, the City University of Hong Kong, Hong Kong, 1998. The
other one is Optimal Control, which was organized byK. Teo and L.
Caccetta for the Dynamic Control Congress, Ottawa, 1999. This
volume is divided into three parts: Optimal Control; Optimization
Methods; and Applications. The Optimal Control part is concerned
with com putational methods, modeling and nonlinear systems. Three
computational methods for solving optimal control problems are
presented: (i) a regularization method for computing
ill-conditioned optimal control problems, (ii) penalty function
methods that appropriately handle final state equality constraints,
and (iii) a multilevel optimization approach for the numerical
solution of opti mal control problems. In the fourth paper, the
worst-case optimal regulation involving linear time varying systems
is formulated as a minimax optimal con trol problem."
A collection of 28 refereed papers grouped according to four
broad topics: duality and optimality conditions, optimization
algorithms, optimal control, and variational inequality and
equilibrium problems. Suitable for researchers, practitioners and
postgrads.
This book contains refereed papers which were presented at the 34th
Workshop of the International School of Mathematics "G.
Stampacchia," the International Workshop on Optimization and
Control with Applications. The book contains 28 papers that are
grouped according to four broad topics: duality and optimality
conditions, optimization algorithms, optimal control, and
variational inequality and equilibrium problems. The specific
topics covered in the individual chapters include optimal control,
unconstrained and constrained optimization, complementarity and
variational inequalities, equilibrium problems, semi-definite
programs, semi-infinite programs, matrix functions and equations,
nonsmooth optimization, generalized convexity and generalized
monotinicity, and their applications.
Lagrange and penalty function methods provide a powerful approach,
both as a theoretical tool and a computational vehicle, for the
study of constrained optimization problems. However, for a
nonconvex constrained optimization problem, the classical Lagrange
primal-dual method may fail to find a mini mum as a zero duality
gap is not always guaranteed. A large penalty parameter is, in
general, required for classical quadratic penalty functions in
order that minima of penalty problems are a good approximation to
those of the original constrained optimization problems. It is
well-known that penaity functions with too large parameters cause
an obstacle for numerical implementation. Thus the question arises
how to generalize classical Lagrange and penalty functions, in
order to obtain an appropriate scheme for reducing constrained
optimiza tion problems to unconstrained ones that will be suitable
for sufficiently broad classes of optimization problems from both
the theoretical and computational viewpoints. Some approaches for
such a scheme are studied in this book. One of them is as follows:
an unconstrained problem is constructed, where the objective
function is a convolution of the objective and constraint functions
of the original problem. While a linear convolution leads to a
classical Lagrange function, different kinds of nonlinear
convolutions lead to interesting generalizations. We shall call
functions that appear as a convolution of the objective function
and the constraint functions, Lagrange-type functions."
This edited book is dedicated to Professor N. U. Ahmed, a leading
scholar and a renowned researcher in optimal control and
optimization on the occasion of his retirement from the Department
of Electrical Engineering at University of Ottawa in 1999. The
contributions of this volume are in the areas of optimal control,
non linear optimization and optimization applications. They are
mainly the im proved and expanded versions of the papers selected
from those presented in two special sessions of two international
conferences. The first special session is Optimization Methods,
which was organized by K. L. Teo and X. Q. Yang for the
International Conference on Optimization and Variational
Inequality, the City University of Hong Kong, Hong Kong, 1998. The
other one is Optimal Control, which was organized byK. Teo and L.
Caccetta for the Dynamic Control Congress, Ottawa, 1999. This
volume is divided into three parts: Optimal Control; Optimization
Methods; and Applications. The Optimal Control part is concerned
with com putational methods, modeling and nonlinear systems. Three
computational methods for solving optimal control problems are
presented: (i) a regularization method for computing
ill-conditioned optimal control problems, (ii) penalty function
methods that appropriately handle final state equality constraints,
and (iii) a multilevel optimization approach for the numerical
solution of opti mal control problems. In the fourth paper, the
worst-case optimal regulation involving linear time varying systems
is formulated as a minimax optimal con trol problem."
'Optimization Day' (OD) has been a series of annual
mini-conferences in Aus tralia since 1994. The purpose of this
series of events is to gather researchers in optimization and its
related areas from Australia and their collaborators, in order to
exchange new developments of optimization theories, methods and
their applications. The first four OD mini-conferences were held in
The Uni versity of Ballarat (1994), The University of New South
Wales (1995), The University of Melbourne (1996) and Royal
Melbourne Institute of Technology (1997), respectively. They were
all on the eastern coast of Australia. The fifth mini-conference
Optimization Days was held at the Centre for Ap plied Dynamics and
Optimization (CADO), Department of Mathematics and Statistics, The
University of Western Australia, Perth, from 29 to 30 June 1998.
This is the first time the OD mini-conference has been held at the
west ern coast of Australia. This fifth OD preceded the
International Conference on Optimization: Techniques and
Applications (ICOTA) held at Curtin Uni versity of Technology. Many
participants attended both events. There were 28 participants in
this year's mini-conference and 22 presentations in the mini
conference. The presentations in this volume are refereed
contributions based on papers presented at the fifth Optimization
Days mini-conference. The volume is di vided into the following
parts: Global Optimization, Nonsmooth Optimization, Optimization
Methods and Applications."
This book presents mainly experimental studies on the mechanical
behavior and damage fracture mechanism of deep rocks including
sandstone, marble, mudstone and granite, combining with several
advanced technologies of X-ray micro-CT and AE monitoring. It has
several unique features: 1) Investigates the influence of loading
path on triaxial strength and deformation behavior of sandstone and
marble; 2) Analyzes the effect of borehole size on triaxial
strength and deformation behavior of hollow sandstone; 3) Explores
the influence of high temperature on triaxial deformation and
permeability behavior of sandstone and granite; 4) to reveal the
damage fracture mechanism of deep rocks using spatial AE techniques
and X-ray micro CT observations. This work will appeal to a
wide readership from technicians in the field of geotechnical
engineering and engineering geology to scholars carrying out
research in the rock mechanics.
This book presents mainly experimental studies on the mechanical
behavior and damage fracture mechanism of deep rocks including
sandstone, marble, mudstone and granite, combining with several
advanced technologies of X-ray micro-CT and AE monitoring. It has
several unique features: 1) Investigates the influence of loading
path on triaxial strength and deformation behavior of sandstone and
marble; 2) Analyzes the effect of borehole size on triaxial
strength and deformation behavior of hollow sandstone; 3) Explores
the influence of high temperature on triaxial deformation and
permeability behavior of sandstone and granite; 4) to reveal the
damage fracture mechanism of deep rocks using spatial AE techniques
and X-ray micro CT observations. This work will appeal to a wide
readership from technicians in the field of geotechnical
engineering and engineering geology to scholars carrying out
research in the rock mechanics.
Involving several areas of geological engineering, geotechnical
engineering and tunnel engineering, this book describes the soft
soil deformation characteristics and dynamic responses induced by
subway vibration load. Based on field monitoring and laboratory
testing data, with both comprehensive micro-and macroanalysis, the
authors present dynamic characteristics and deformation settlement
of saturated soft clay surrounding subway tunnels using dynamic and
static methodology. Mechanism of deformation, failure in
microstructure of soft clay soil, dynamic response, macro
deformation and settlement are all discussed and analyzed
thoroughly and systematically. Some of the research findings in
this book have been widely applied by large subway companies and
will have broader application prospects in future. All the above
make this book a valuable reference not only for technical
engineers working in subway design or construction but also for
advanced graduate students. Prof. Yiqun Tang works at the
Department of Geotechnical Engineering, Tongji University,
Shanghai, China.
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