F. dell'Isola, L. Placidi: Variational principles are a powerful
tool also for formulating field theories. - F. dell'Isola, P.
Seppecher, A. Madeo: Beyond Euler-Cauchy Continua. The structure of
contact actions in N-th gradient generalized continua: a
generalization of the Cauchy tetrahedron argument. - B. Bourdin,
G.A. Francfort: Fracture. - S. Gavrilyuk: Multiphase flow modeling
via Hamilton's principle. - V. L. Berdichevsky: Introduction to
stochastic variational problems. - A. Carcaterra: New concepts in
damping generation and control: theoretical formulation and
industrial applications. - F. dell'Isola, P. Seppecher, A. Madeo:
Fluid shock wave generation at solid-material discontinuity
surfaces in porous media.
Variational methods give an efficient and elegant way to
formulate and solve mathematical problems that are of interest to
scientists and engineers. In this book three fundamental aspects of
the variational formulation of mechanics will be presented:
physical, mathematical and applicative ones.
The first aspect concerns the investigation of the nature of real
physical problems with the aim of finding the best variational
formulation suitable to those problems. The second aspect is the
study of the well-posedeness of those mathematical problems which
need to be solved in order to draw previsions from the formulated
models. And the third aspect is related to the direct application
of variational analysis to solve real engineering problems.
General
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