Today, Fracture Mechanics is a well known topic within the
scientific community. Applications of Fracture Mechanics can be
found in various fields ranging from solid mechanics and structures
to materials sciences and computational mechanics. However, most of
these results apply only to linear fracture mechanics of
two-dimensional and homogeneous isotropic solids. Therefore there
are still incompletely solved problems; such as non-linearity,
frictional contact cracks, residual stresses in fracture mechanics,
three-dimensional crack geometry, coupled cracked solid/fluid, etc.
Recently, new topics related to crack detection based on different
physical phenomena have appeared.
This book is an attempt to present, in a unified manner,
different topics of Continuum and Fracture Mechanics: energy
methods, conservation laws, mathematical methods to solve
two-dimensional and three-dimensional crack problems. Moreover, a
series of new subjects is presented in a straightforward manner,
accessible to under-graduate students. These new topics take into
consideration the thermodynamics of continuous media, including
thermal and dynamical aspects. In addition, the book introduces the
notion of duality or symmetry in Solids Mechanics. The loss of
symmetry is exploited to provide a unique and powerful tool, called
the reciprocity gap functional introduced by the authora (TM)s
groups, to solve explicitly some important inverse problems arising
in crack determination as well as in the earthquake inverse
problem.
With its emphasis, initially on physical or experimental
back-grounds, and then on analysis and theoretical results, rather
than on numerical computations, this monograph is intended to
beused by students and researchers in solids mechanics, mechanical
engineering and applied mathematics.
General
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