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Nonlinear Mechanics for Composite Heterogeneous Structures applies
both classical and multi-scale finite element analysis to the
non-linear, failure response of composite structures. These
traditional and modern computational approaches are holistically
presented, providing insight into a range of non-linear structural
analysis problems. The classical methods include geometric and
material non-linearity, plasticity, damage and contact mechanics.
The cutting-edge formulations include cohesive zone models, the
Extended Finite Element Method (XFEM), multi-scale computational
homogenization, localization of damage, neural networks and
data-driven techniques. This presentation is simple but efficient,
enabling the reader to understand, select and apply appropriate
methods through programming code or commercial finite element
software. The book is suitable for undergraduate studies as a final
year textbook and for MSc and PhD studies in structural,
mechanical, aerospace engineering and material science, among
others. Professionals in these fields will also be strongly
benefited. An accompanying website provides MATLAB codes for
two-dimensional finite element problems with contact, multi-scale
(FE2) and non-linear XFEM analysis, data-driven and machine
learning simulations.
This book summarizes the research being pursued as part of the
Erasmus+ CBHE KA2 project entitled "Development of master curricula
for natural disasters risk management in Western Balkan countries"
(NatRisk), which aims to educate experts on the prevention and
management of natural disasters in the Western Balkan region in
line with national and EU policies. The project has successfully
developed and implemented master curricula and educational training
in the field of natural disasters risk management, and a
methodology for the identification and prevention of natural
disasters. Consisting of 11 chapters, the book analyzes and
discusses topics such as risk assessment tools and quality methods,
the different approaches for civil-military collaboration, natural
disasters risk management in Bosnia and Herzegovina, leadership
models for managing crises resulting from natural disasters,
natural disasters in industrial areas, natural risk management in
geotechnics, flood risk modeling, adaptive neuro-fuzzy inference
models for flood prediction, collapse prediction of masonry arches,
an algorithm for fire truck dispatch in emergency situations, and
processing drought data in a GIS environment.
This book summarizes the research being pursued as part of the
Erasmus+ CBHE KA2 project entitled "Development of master curricula
for natural disasters risk management in Western Balkan countries"
(NatRisk), which aims to educate experts on the prevention and
management of natural disasters in the Western Balkan region in
line with national and EU policies. The project has successfully
developed and implemented master curricula and educational training
in the field of natural disasters risk management, and a
methodology for the identification and prevention of natural
disasters. Consisting of 11 chapters, the book analyzes and
discusses topics such as risk assessment tools and quality methods,
the different approaches for civil-military collaboration, natural
disasters risk management in Bosnia and Herzegovina, leadership
models for managing crises resulting from natural disasters,
natural disasters in industrial areas, natural risk management in
geotechnics, flood risk modeling, adaptive neuro-fuzzy inference
models for flood prediction, collapse prediction of masonry arches,
an algorithm for fire truck dispatch in emergency situations, and
processing drought data in a GIS environment.
Contact mechanics is an active research area with deep theoretical
and numerical roots. The links between nonsmooth analysis and
optimization with mechanics have been investigated intensively
during the last decades, especially in Europe. The study of
complementarity problems, variational -, quasivariational- and
hemivariational inequalities arising in contact mechanics and
beyond is a hot topic for interdisciplinary research and
cooperation. The needs of industry for robust solution algorithms
suitable for large scale applications and the regular updates of
the respective elements in major commercial computational mechanics
codes, demonstrate that this interaction is not restricted to the
academic environment. The contributions of this book have been
selected from the participants of the CMIS 2009 international
conference which took place in Crete and continued a successful
series of specialized contact mechanics conferences.
Inverse and crack identification problems are of paramount
importance for health monitoring and quality control purposes
arising in critical applications in civil, aeronautical, nuclear,
and general mechanical engineering. Mathematical modeling and the
numerical study of these problems require high competence in
computational mechanics and applied optimization. This is the first
monograph which provides the reader with all the necessary
information. Delicate computational mechanics modeling, including
nonsmooth unilateral contact effects, is done using boundary
element techniques, which have a certain advantage for the
construction of parametrized mechanical models. Both elastostatic
and harmonic or transient dynamic problems are considered. The
inverse problems are formulated as output error minimization
problems and they are theoretically studied as a bilevel
optimization problem, also known as a mathematical problem with
equilibrium constraints. Beyond classical numerical optimization,
soft computing tools (neural networks and genetic algorithms) and
filter algorithms are used for the numerical solution. The book
provides all the required material for the mathematical and
numerical modeling of crack identification testing procedures in
statics and dynamics and includes several thoroughly discussed
applications, for example, the impact-echo nondestructive
evaluation technique. Audience: The book will be of interest to
structural and mechanical engineers involved in nondestructive
testing and quality control projects as well as to research
engineers and applied mathematicians who study and solve related
inverse problems. People working on applied optimization and soft
computing will find interesting problems to apply to their methods
and all necessary material to continue research in this field.
Nonsmooth energy functions govern phenomena which occur frequently
in nature and in all areas of life. They constitute a fascinating
subject in mathematics and permit the rational understanding of yet
unsolved or partially solved questions in mechanics, engineering
and economics. This is the first book to provide a complete and
rigorous presentation of the quasidifferentiability approach to
nonconvex, possibly nonsmooth, energy functions, of the derivation
and study of the corresponding variational expressions in
mechanics, engineering and economics, and of their numerical
treatment. The new variational formulations derived are illustrated
by many interesting numerical problems. The techniques presented
will permit the reader to check any solution obtained by other
heuristic techniques for nonconvex, nonsmooth energy problems. A
civil, mechanical or aeronautical engineer can find in the book the
only existing mathematically sound technique for the formulation
and study of nonconvex, nonsmooth energy problems. Audience: The
book will be of interest to pure and applied mathematicians,
physicists, researchers in mechanics, civil, mechanical and
aeronautical engineers, structural analysts and software
developers. It is also suitable for graduate courses in nonlinear
mechanics, nonsmooth analysis, applied optimization, control,
calculus of variations and computational mechanics.
Nonconvexity and nonsmoothness arise in a large class of
engineering applica tions. In many cases of practical importance
the possibilities offered by opti mization with its algorithms and
heuristics can substantially improve the per formance and the range
of applicability of classical computational mechanics algorithms.
For a class of problems this approach is the only one that really
works. The present book presents in a comprehensive way the
application of opti mization algorithms and heuristics in smooth
and nonsmooth mechanics. The necessity of this approach is
presented to the reader through simple, represen tative examples.
As things become more complex, the necessary material from convex
and nonconvex optimization and from mechanics are introduced in a
self-contained way. Unilateral contact and friction problems,
adhesive contact and delamination problems, nonconvex
elastoplasticity, fractal friction laws, frames with semi rigid
connections, are among the applications which are treated in
details here. Working algorithms are given for each application and
are demonstrated by means of representative examples. The
interested reader will find helpful references to up-to-date
scientific and technical literature so that to be able to work on
research or engineering topics which are not directly covered
here."
Contact mechanics is an active research area with deep theoretical
and numerical roots. The links between nonsmooth analysis and
optimization with mechanics have been investigated intensively
during the last decades, especially in Europe. The study of
complementarity problems, variational -, quasivariational- and
hemivariational inequalities arising in contact mechanics and
beyond is a hot topic for interdisciplinary research and
cooperation. The needs of industry for robust solution algorithms
suitable for large scale applications and the regular updates of
the respective elements in major commercial computational mechanics
codes, demonstrate that this interaction is not restricted to the
academic environment. The contributions of this book have been
selected from the participants of the CMIS 2009 international
conference which took place in Crete and continued a successful
series of specialized contact mechanics conferences.
Nonsmoothness and nonconvexity arise in numerous applications of
mechan- ics and modeling due to the need for studying more and more
complicated phe- nomena and real life applications. Mathematicians
have started to provide the necessary tools and theoretical results
underpinning these applications. Ap- plied mathematicians and
engineers have begun to realize the benefits of this new area and
are adopting, increasingly, these new tools in their work. New
computational tools facilitate numerical applications and enable
the theory to be tested, and the resulting feedback poses new
theoretical questions. Because of the upsurge in activity in the
area of nonsmooth and noncon- vex mechanics, Professors Gao and
Ogden, together with the late Professor P.D. Panagiotopoulos, had
planned to organize a Minisymposium with the title Nonsmooth and
Nonconvex Mechanics within the ASME 1999 Mechanics & Materials
Conference, June 27-30 1999, Blacksburg, Virginia. After the unex-
pected death of Professor Panagiotopoulos the first two editors
invited the third editor (Professor Stavroulakis) to join them. A
large number of mathematical and engineering colleagues supported
our efforts by presenting lectures at the Minisymposium in which
the available mathematical methods were described and many problems
of nonsmooth and nonconvex mechanics were discussed. The interest
of the many participants encourages us all to continue our research
efforts.
Mechanics have played an important role in mathematics, from
infinitesimal calculus, calculus of variations, partial
differential equations and numerical methods (finite elements).
Originally, mechanics treated smooth objects. Technological
progress has evoked the necessity to model and solve more
complicated problems, like unilateral contact and friction,
plasticity, delamination and adhesion, advanced materials, etc. The
new tools include convex analysis, differential calculus for convex
functions, and subgradients of convex functions and extensions for
nonconvex problems. Nonsmooth mechanics is a relatively complex
field, and requires a good knowledge of mechanics and a good
background in some parts of modern mathematics. The present volume
of lecture notes follows a very successful advanced school, with
the aim to cover as much as possible all these aspects. Therefore
the contributions cover mechanical aspects as well as the
mathematical and numerical treatment.
The nature and the human creations are full of complex phenomena,
which sometimes can be observed but rarely follow our hypotheses.
The best we can do is to build a parametric model and then try to
adjust the unknown parameters based on the available observations.
This topic, called parameter identification, is discussed in this
book for materials and structures. The present volume of lecture
notes follows a very successful advanced school, which we had the
honor to coordinate in Udine, October 6-10, 2003. The authors of
this volume present a wide spectrum of theories, methods and
applications related to inverse and parameter identification
problems. We thank the invited lecturers and the authors of this
book for their contributions, the participants of the course for
their active participation and the interesting discussions as well
as the people of CISMfor their hospitality and their well-known
professional help. Zenon Mroz Georgios E. Stavroulakis CONTENTS
Preface An overview of enhanced modal identification by L.
Bolognini 1 The reciprocity gap functional for identifying defects
and cracks by H. D. Bui, A. Constantinescu and H. Maigre 17 Some
innovative industrial prospects centered on inverse analyses by G.
Maier, M. Bocciarelli andR. Fedele 55 Identification of damage in
beam and plate structures using parameter dependent modal changes
and thermographic methods by Z. Mroz andK. Dems 95 Crack and flaw
identification in statics and dynamics, using filter algorithms and
soft computing by G. E, Stavroulakis, M. Engelhardt andH.
Nonsmoothness and nonconvexity arise in numerous applications of
mechan- ics and modeling due to the need for studying more and more
complicated phe- nomena and real life applications. Mathematicians
have started to provide the necessary tools and theoretical results
underpinning these applications. Ap- plied mathematicians and
engineers have begun to realize the benefits of this new area and
are adopting, increasingly, these new tools in their work. New
computational tools facilitate numerical applications and enable
the theory to be tested, and the resulting feedback poses new
theoretical questions. Because of the upsurge in activity in the
area of nonsmooth and noncon- vex mechanics, Professors Gao and
Ogden, together with the late Professor P.D. Panagiotopoulos, had
planned to organize a Minisymposium with the title Nonsmooth and
Nonconvex Mechanics within the ASME 1999 Mechanics & Materials
Conference, June 27-30 1999, Blacksburg, Virginia. After the unex-
pected death of Professor Panagiotopoulos the first two editors
invited the third editor (Professor Stavroulakis) to join them. A
large number of mathematical and engineering colleagues supported
our efforts by presenting lectures at the Minisymposium in which
the available mathematical methods were described and many problems
of nonsmooth and nonconvex mechanics were discussed. The interest
of the many participants encourages us all to continue our research
efforts.
Inverse and crack identification problems are of paramount
importance for health monitoring and quality control purposes
arising in critical applications in civil, aeronautical, nuclear,
and general mechanical engineering. Mathematical modeling and the
numerical study of these problems require high competence in
computational mechanics and applied optimization. This is the first
monograph which provides the reader with all the necessary
information. Delicate computational mechanics modeling, including
nonsmooth unilateral contact effects, is done using boundary
element techniques, which have a certain advantage for the
construction of parametrized mechanical models. Both elastostatic
and harmonic or transient dynamic problems are considered. The
inverse problems are formulated as output error minimization
problems and they are theoretically studied as a bilevel
optimization problem, also known as a mathematical problem with
equilibrium constraints. Beyond classical numerical optimization,
soft computing tools (neural networks and genetic algorithms) and
filter algorithms are used for the numerical solution. The book
provides all the required material for the mathematical and
numerical modeling of crack identification testing procedures in
statics and dynamics and includes several thoroughly discussed
applications, for example, the impact-echo nondestructive
evaluation technique. Audience: The book will be of interest to
structural and mechanical engineers involved in nondestructive
testing and quality control projects as well as to research
engineers and applied mathematicians who study and solve related
inverse problems. People working on applied optimization and soft
computing will find interesting problems to apply to their methods
and all necessary material to continue research in this field.
Nonconvexity and nonsmoothness arise in a large class of
engineering applica tions. In many cases of practical importance
the possibilities offered by opti mization with its algorithms and
heuristics can substantially improve the per formance and the range
of applicability of classical computational mechanics algorithms.
For a class of problems this approach is the only one that really
works. The present book presents in a comprehensive way the
application of opti mization algorithms and heuristics in smooth
and nonsmooth mechanics. The necessity of this approach is
presented to the reader through simple, represen tative examples.
As things become more complex, the necessary material from convex
and nonconvex optimization and from mechanics are introduced in a
self-contained way. Unilateral contact and friction problems,
adhesive contact and delamination problems, nonconvex
elastoplasticity, fractal friction laws, frames with semi rigid
connections, are among the applications which are treated in
details here. Working algorithms are given for each application and
are demonstrated by means of representative examples. The
interested reader will find helpful references to up-to-date
scientific and technical literature so that to be able to work on
research or engineering topics which are not directly covered
here."
Nonsmooth energy functions govern phenomena which occur frequently
in nature and in all areas of life. They constitute a fascinating
subject in mathematics and permit the rational understanding of yet
unsolved or partially solved questions in mechanics, engineering
and economics. This is the first book to provide a complete and
rigorous presentation of the quasidifferentiability approach to
nonconvex, possibly nonsmooth, energy functions, of the derivation
and study of the corresponding variational expressions in
mechanics, engineering and economics, and of their numerical
treatment. The new variational formulations derived are illustrated
by many interesting numerical problems. The techniques presented
will permit the reader to check any solution obtained by other
heuristic techniques for nonconvex, nonsmooth energy problems. A
civil, mechanical or aeronautical engineer can find in the book the
only existing mathematically sound technique for the formulation
and study of nonconvex, nonsmooth energy problems. Audience: The
book will be of interest to pure and applied mathematicians,
physicists, researchers in mechanics, civil, mechanical and
aeronautical engineers, structural analysts and software
developers. It is also suitable for graduate courses in nonlinear
mechanics, nonsmooth analysis, applied optimization, control,
calculus of variations and computational mechanics.
This book contains a thorough and unique record of recent advances
in the important scientific fields fluid-structure interaction,
acoustics and control of priority interest in the academic
community and also in an industrial context regarding new
engineering designs. It updates advances in these fields by
presenting state-of-the-art developments and achievements since the
previous Book published by Springer in 2018 after the 4th FSSIC
Symposium. This book is unique within the related literature
investigating advances in these fields because it addresses them in
a complementary way and thereby enhances cross-fertilization
between them, whereas other books treat these fields separately.
This book contains a thorough and unique record of recent advances
in the important scientific fields fluid-structure interaction,
acoustics and control of priority interest in the academic
community and also in an industrial context regarding new
engineering designs. It updates advances in these fields by
presenting state-of-the-art developments and achievements since the
previous Book published by Springer in 2018 after the 4th FSSIC
Symposium. This book is unique within the related literature
investigating advances in these fields because it addresses them in
a complementary way and thereby enhances cross-fertilization
between them, whereas other books treat these fields separately.
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