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Paolo Podio-Guidugli
Professor
Degree: Nuclear Engineering, University of Pisa, 1964
Office:
Department of Civil Engineering, building B, 2nd floor
Phone: +39 06 7259 7051 Fax: +39 06 7259 7052
E-mail: ppg@uniroma2.it
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Research
My research interests
are in the field of rational continuum mechanics, with special
attention for engineering applications as well as, occasionally,
for foundational issues [1-3]. In recent years I have developped
an interest for modelling and analysing problems originally posed
by materials scientists, such as phase interfaces in motion (in
particular, crystal growth, crack propagation, and peeling) [4-7].
I am also working in the dynamics of deformable ferromagnets,
with special attention for the partial differential equations
that govern their evolution [8-11]. Another line of research I am
currently busy with has to do with electroelastic and
magnetoelastic actuators and sensors, and micromachining, that is,
the study of miniature structures under form of rods, plates, and
shells undergoing large and rapid deformations under the action
of not always standard loads [12-14]. Finally, in the last year
or so, I have been also working at modelling the effects of
strain on the normal-to-super transition in high-Tc superconductors [15].
Recent Selected
Publications
- Inertia and
invariance, Annali di Matematica Pura e Applicata (IV),
Volume CLXXII, pp. 103-124 (1997)
- On the
representation of energy and momentum in elasticity,
Mathematical Methods and Models in Applied Sciences,
Volume 10 (2), pp. 203-216 (2000) (with S. Sellers and G.
Vergara Caffarelli)
- A Primer in
Elasticity, Special Invited Presentation, Journal of
Elasticity, Volume 58 (1), pp. 1-103 (2000). To be
published in book form by Kluwer Academic Publishers (2000)
- On radial growth
in crystallization theories of hyperbolic nature, pp. 150-167
of Motion by Mean Curvature and Related Topics,
Proceedings of the International Conference held in
Trento, July 20-24, 1992. G. Buttazzo & A. Visintin
Ed.s, de Gruyter: Berlin - New York, 1994 (with G.
Vergara Caffarelli)
- On configurational
inertial forces at a phase interface, Journal of
Elasticity, Volume 44, pp. 255-269 (1996) (with M.E.
Gurtin)
- Configurational
forces and a constitutive theory for crack propagation
that allows for kinking and curving, Journal of the
Mechanics and Physics of Solids, Volume 46 (2), pp. 1-36
(1998) (with M.E. Gurtin)
- Configurational
balances via variational arguments, to appear in
Interfaces and Free Boundaries (2000)
- On the continuum
theory of deformable ferromagnetic solids, Archive for
Rational Mechanics and Analysis, Volume 136, pp. 201-233
(1996) (with A. DeSimone)
- Pointwise balances
and the construction of stress fields in dielectrics,
Mathematical Models and Methods in Applied Sciences,
Volume 7 (4), pp. 477-485 (1997) (with A. DeSimone)
- On the dynamics of
deformable ferromagnets. I. Global weak solutions for
soft ferromagnets at rest, to appear in Annali di
Matematica Pura e Applicata (1999)
- Existence of
global-in-time weak solutions to a modified Gilbert
equation, to appear in Nonlinear Analysis. Theory,
Methods & Applications (2000) (with V. Valente)
- Piezoelectric
plates with changing thickness, Journal of Structural
Control, Volume 5 (2), pp. 73-86 (1998) (with V. Nicotra)
- Thickness waves in
electroelastic plates, to appear in Wave Motion (2000) (with
G. Tomassetti)
- Shells with
thickness distension, International Journal of Solids and
Structures, Volume 38/6, pp. 7405-7429 (2001) (with A.
DiCarlo and W.O.Williams)
- Deformation
effects in epitaxial films of high-temperature
superconductors, in preparation (2000) (with P. Cermelli)
Revised: Friday,
Oct 20, 2000