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Multifield Problems - State of the Art (Paperback, Softcover reprint of hardcover 1st ed. 2000)
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Multifield Problems - State of the Art (Paperback, Softcover reprint of hardcover 1st ed. 2000)
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This book on the state of the art in "Multifield Problems" consists
of selected articles based on a conference on this topic at the
University of Stuttgart in 1999. The first two articles are
contributions to the general modelling of multifield problems. S.S.
Antman presents the important role of viscoelastic dissipation in
the mathematical modelling of bifurcation analysis of nonlinear
elasticity for large deformations. G.A. Maugin presents the basic
theoretical foundations for the combination of three scales - the
microscopic lattice of crystals, the mesoscopic thermomechanical
model and the macroscopic con tinuum mechanics model for describing
the propagation of phase transition fronts in terms of the
Landau-Ginzburg theory and the modelling of nonlinear waves. The
other contributions are associated with five main areas of
multifield modelling such as two and multiphase flows, the
mechanics of materials in terms of multiscaling, the interaction of
solids and fluids, efficient solution methods of the discrete
equations including adaptivity, and the modelling of contact and
fracture."
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