Matematica

Prof. Paolo Podio Guidugli

1. Inertia and invariance, Annali di Matematica Pura e Applicata (IV), Volume CLXXII, pp. 103-124 (1997);
2. Null lagrangians in linear elasticity, Mathematical Models and Methods in Applied Sciences, Volume 5, pp. 415-427 (1995) (with M.R. Lancia and G. Vergara Caffarelli);
3. On the continuum theory of deformable ferromagnetic solids, Archive for Rational Mechanics and Analysis, Volume 136, pp. 201-233 (1996) (with A. DeSimone);
4. Constraint groups, Journal of Elasticity, Volume 37, pp. 91-92 (1995) (with A. Danescu and M. Vianello);
5. On the differentiability of local representations of isotropic constraints, in Suhubi and Continuum Mechanics, special issue of Bulletin of the Technical University of Istanbul, Volume 47, pp. 13-23 (1994) (with A. Danescu and M. Vianello);
6. Inertial and self interactions in structured continua: liquid crystals and magnetostrictive solids, MECCANICA, Volume 30, pp. 629-640 (1995) (with A. DeSimone);
7. Configurational forces and the basic laws for crack propagation, Journal of the Mechanics and Physics of Solids, Volume 44 (6), pp. 905-927 (1996) (with M.E. Gurtin);
8. On configurational inertial forces at a phase interface, Journal of Elasticity, Volume 44, pp. 255-269 (1996) (with M.E. Gurtin);
9. Centri di forza e oscillazioni di spessore nelle piastre, pp. 99-104 of Atti del XII Congresso Nazionale di Meccanica Teorica ed Applicata (Napoli, 1995), Volume V (1995) (with A. DeSimone);
10. Stabilità di mensole elastiche soggette a carichi con potenziale non convesso, pp. 305-310 of Atti del XII Congresso Nazionale di Meccanica Teorica ed Applicata (Napoli, 1995), Volume V (1995) (with A. DeSimone);
11. Old and new invariance methods in continuum mechanics, pp. 41-52 of Modern Group Analysis VI, Proceedings of the International Conference held in Johannesburg, January 15--20, 1996. N.H. Ibragimov \& F.M. Mahomed d.s, New Age International Publishers: New Delhi 1997;
12. 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);
13. Gleanings of radial cavitation, Journal of Elasticity, Volume 44, pp. 183-192 (1996) (with M.R. Lancia and G. Vergara Caffarelli);
14. 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);
15. On the representation of the stored energy for elastic materials with full transverse response--symmetry, Journal of Elasticity, Volume 51 (2), pp. 167-176 (1998) (with F.P. Duda and L.C. Martins);
16. Some recent results on Saint--Venant Problem, pp. 35-45 of Atti dei Convegni Lincei N. 140, Giornata Lincea su "Il Problema di de Saint-Venant: Aspetti Teorici e Applicativi'' (Roma, 6 March 1997). Accademia Nazionale dei Lincei, Roma 1998;
17. 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);
18. The compatibility constraint, to appear in Journal of Elasticity (1999);
19. Universal deformations for a class of compressible isotropic hyperelastic materials, Journal of Elasticity, Volume 52 (2), pp. 159-166 (1998/1999) (with G. Tomassetti);
20. Piezoelectric plates with changing thickness, Journal of Structural Control, Volume 5 (2), pp. 73-86 (1998) (with V. Nicotra);
21. Elasticity with live loads, pp. 127-142 of Atti dei Convegni Lincei N.148, Giornata Lincea su "Interactions between Analysis and Mechanics. The Legacy of Gaetano Fichera'' (Roma, 22-23 April 1998). Accademia azionale dei Lincei, Roma 1999;
22. Shells with thickness distension, International Journal of Solids and Structures, Volume 38, pp.1201-1225 (2001) (with A. DiCarlo and W.O.Williams);
23. On internal constraints and the derivation of a linear plate theory, pp. 96-102 of Trends in Applications of Mathematics to Mechanics, Proceedings of STAMM X (Nice, May 25-29, 1998), G. Iooss, O. Guess, and A. Nouri Ed.s, Chapman\&Hall/CRC: Boca Raton London New York Washington, D.C. 2000;
24. Recent results in the theory of elastic plates, Transport Theory and Statistical Physics, (Special Issue, J.J. Dorning Ed.) Volume 29 (1\&2), pp. 217-224 (1999);
25. On the dynamics of deformable ferromagnets. I. Global weak solutions for soft ferromagnets at rest, to appear in Annali di Matematica Pura e Applicata (IV), Volume CLXXVII, pp. xxx-xxx (2000) (with M. Bertsch and V. Valente);
26. Thickness waves in electroelastic plates, to appear in Wave Motion (2000) (with G. Tomassetti);
27. Exact equilibrium solutions for linearly elastic plate-like bodies, Journal of Elasticity, Volume 56 (3), pp.231-245 (1999) (with V. Nicotra and A. Tiero);
28. On dissipation mechanisms in micromagnetics, to appear in European Physical Journal B. Condensed Matter, (2001);
29. Energy estimates in hyerarchical plate theories, J. Math. Anal. and Appl., Volume 248, pp. 216-232 (2000) (with S. Carrillo and G. Vergara Caffarelli);
30. Un formato tipo lavori virtuali per la termodinamica dei processi omogenei, Atti del XIV Congresso Nazionale di Meccanica Teorica ed Applicata (Como, October 1999) (with A. Tiero);
31. Second-gradient constraints in second-grade materials, pp. 200-206 of K. Wilmanski's 60th Anniversary Volume, Report 18, Weierstrass Institute for Applied Analysis and Stochastic, Berlin (2000) (with M. Lembo);
32. Configurational balances via variational arguments, Interfaces and Free Boundaries Volume 3, pp. 1-10 (2001);
33. Le equazioni di evoluzione dei continui ferromagnetici, to appear in Bollettino U.M.I. (2000);
34. Existence of global-in-time weak solutions to a modified Gilbert equation, to appear in Nonlinear Analysis. Theory, Methods \& Applications (2000) (with V. Valente)
35. A primer in elasticity, Journal of Elasticity, Volume 58 (1), pp. 1-104 (2000);
36. Deformation effects in epitaxial films of high-temperature superconductors, submitted (2001) (with P. Cermelli).