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Nonlinear Homogenization and its Applications to Composites, Polycrystals and Smart Materials - Proceedings of the NATO Advanced Research Workshop, held in Warsaw, Poland, 23-26 June 2003 (Paperback, 2004 ed.)
Loot Price: R8,092
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Nonlinear Homogenization and its Applications to Composites, Polycrystals and Smart Materials - Proceedings of the NATO Advanced Research Workshop, held in Warsaw, Poland, 23-26 June 2003 (Paperback, 2004 ed.)
Series: NATO Science Series II: Mathematics, Physics and Chemistry, 170
Expected to ship within 10 - 15 working days
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Although several books and conference proceedings have already
appeared dealing with either the mathematical aspects or
applications of homogenization theory, there seems to be no
comprehensive volume dealing with both aspects. The present volume
is meant to fill this gap, at least partially, and deals with
recent developments in nonlinear homogenization emphasizing
applications of current interest. It contains thirteen key lectures
presented at the NATO Advanced Workshop on Nonlinear Homogenization
and Its Applications to Composites, Polycrystals and Smart
Materials. The list of thirty one contributed papers is also
appended. The key lectures cover both fundamental, mathematical
aspects of homogenization, including nonconvex and stochastic
problems, as well as several applications in micromechanics, thin
films, smart materials, and structural and topology optimization.
One lecture deals with a topic important for nanomaterials: the
passage from discrete to continuum problems by using nonlinear
homogenization methods. Some papers reveal the role of
parameterized or Young measures in description of microstructures
and in optimal design. Other papers deal with recently developed
methods - both analytical and computational - for estimating the
effective behavior and field fluctuations in composites and
polycrystals with nonlinear constitutive behavior. All in all, the
volume offers a cross-section of current activity in nonlinear
homogenization including a broad range of physical and engineering
applications. The careful reader will be able to identify
challenging open problems in this still evolving field. For
instance, there is the need to improve bounding techniques for
nonconvex problems, as well as for solving geometrically nonlinear
optimum shape-design problems, using relaxation and homogenization
methods.
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