Numerical Modeling of Cracking
PREFACE
Reliable model-based prognoses of the initiation and propagation of
cracks in concrete plays an important role for the durability and integrity
assessment of concrete and reinforced concrete structures. To
this end, a large number of material models for concrete cracking
based on different theories (e.g., damage mechanics, fracture mechanics,
plasticity theory and combinations of the mentioned theories) as
well as advanced finite element methods suitable for the representation
of cracks (e.g., the Extended Finite Element Method and Embedded
Crack Models) have been developed in recent years.
The focus of the Advanced School on ”Numerical Modeling of Concrete
Cracking” at the International Centre for Mechanical Sciences
(CISM) at Udine in May 2009 was laid on numerical models for describing
crack propagation in concrete and their applications to numerical
simulations of concrete and reinforced concrete structures.
The lectures of this course formed the basis for this book. Its aim
is to impart fundamental knowledge of the underlying theories of the
different approaches for modelling cracking of concrete and to provide
a critical survey of the state-of-the-art in computational concrete mechanics.
This book covers a relatively broad spectrum of topics related to
modelling of cracks, including continuum-based and discrete crack
models, meso-scale models, advanced discretization strategies to capture
evolving cracks based on the concept of finite elements with embedded
discontinuities and on the extended finite element method, respectively,
and, last but not least, extensions to coupled problems such
as hygro-mechanical problems as required in computational durability
analyses of concrete structures.
Innsbruck and Bochum,
March 2011,
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