Un ricordo di Piero Villaggio

Davini, Cesare

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Un ricordo di Piero Villaggio

Davini, Cesare

La Matematica nella società e nella cultura, Série 1, Tome 7 (2014) no. 2, pp. 181-214.

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Davini, Cesare. Un ricordo di Piero Villaggio. La Matematica nella società e nella cultura, Série 1, Tome 7 (2014) no. 2, pp. 181-214. http://geodesic.mathdoc.fr/item/RIUMI_2014_1_7_2_a1/

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[28] P. Villaggio, Strong Ellipticity conditions for the differential operator of the finite isotropic elasticity. Meccanica, vol. V, 191-196 (1970). | MR | Zbl

[29] P. Villaggio, Theorems of convergence for minimal sequences in limit analysis. Int. J. Solids Struct. 5, 833-841 (1969). | Zbl

[30] P. Villaggio, A criterion of stability for non-linear continua. IUTAM Symp. Herrenalb, 19-24 (1969). | MR

[31] P. Villaggio, A criterion of classification for non-linear hypoelastic materials in simple shear. Meccanica, vol. VI, 6, 25-29 (1971). | DOI | MR

[32] P. Villaggio, Energetic bounds in Finite Elasticity. Arch. Rat. Mech. AnaL vol. 45, 4, 282-293 (1972). | DOI | MR | Zbl

[33] P. Villaggio, Formulation of some homogeneous thermodynamic processes as Variational Inequalities. In Int. Symposium on foundations of Plasticity. Warsaw, August 30 - Sept. 2, 1972. | Zbl

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[35] P. Villaggio, Formulation of some homogeneous thermodynamic processes as variational inequality. Archiwum Mech. Stosow., vol. 25 (2),293-298 (1973). | Zbl

[36] P. Villaggio, The Stability of Continuous Systems. Meccanica. vol. X, 4, 313-314 (1975).

[37] M. Gurtin, P. Villaggio, On Stability in the Classical Linear Theory of Fluid Mixtures. Ann. Mat. Pura e Appl. (IV), vol. CXI, 51-67 (1976). | DOI | MR | Zbl

[38] I. Miller, P. Villaggio, Condition of Stability and Wave Speeds for Fluid Mixtures. Meccanica., vol. XI (4), 191-195 (1976). | Zbl

[39] P. Villaggio, Two-Sided Estimates in Unilateral Elasticity. Int. J. Solids Struct., vol. 13, 279-292 (1977). | MR | Zbl

[40] I. Mller, P. Villaggio, A model for an Elastic Plastic Body. Arch. Rational Mech. Anal., vol.65 (1), 25-46 (1977). | DOI | MR | Zbl

[41] P. Villaggio, Hadamard's theorem applied to thin plates. Journal of Elasticity, vol. 7 (4), 425-436 (1977). | DOI | MR | Zbl

[42] P. Villaggio, Concavity techniques with application to shock problems. Journal of Elasticity, vol. 9 (1), 1-13 (1979). | DOI | MR | Zbl

[43] P. Villaggio, Buckling under unilateral constraints. Int. J. Solids Struct., vol. 15 (3), 193-201 (1979). | DOI | MR

[44] P. Villaggio, Comparison Properties for Solutions of Unilateral Problems. Meccanica. vol. XIII (1), 41-47 (1978). | Zbl

[45] P. Villaggio, An Elastic Theory of Coulomb Friction. Arch. Rat. Mech. Anal. vol. 70 (2), 135-144 (1979). | DOI | MR | Zbl

[46] P. Villaggio, The thermodynamics of fatigue-sensitive materials. Meccanica, vol. XIV (1), 48-54 (1979).

[47] P. Villaggio, A unilateral contact problem in linear elasticity. Journal of Elasticity. vol. 10, N. 2, 113-119 (1980). | DOI | MR | Zbl

[48] P. Villaggio, Maximum Modulus Theorems for the Elastic Half-Space. Riv. Mat. Univ. Parma, 5 (4), 663-672(1979). | MR

[49] P. Villaggio, Inverse Boundary Value Problems in Structural Optimization. In Free Boundary Problems, (Proc. Sem. Pavia 1979), Ist. Naz. Alta Matem. vol. II, 587-599.

[50] P. Villaggio, The Exact Deflection of an Elastic Beam over a Soft Obstacle. Meccanica, XIV (4), 219-223 (1979). | Zbl

[51] P. Villaggio, Stress Diffusion in Non-Linear Interpenetrating Bars. Int. J. Solids Struct., vol. 17, 411-420 (1981). | Zbl

[52] P. Villaggio, The Ritz method in solving unilateral problems in elasticity. Meccanica, vol. XVI (3),123-127 (1981). | Zbl

[53] P. Villaggio, Stress Diffusion in Masonry Walls. J. Struct. Mech., 9 (4), 439-450 (1981).

[54] W. Velte, P. Villaggio, Are the Optimum Problems in Structural Design Well Posed? Arch. Rational Mech. Anal. vol. 78 (3),199-211 (1982). | DOI | MR | Zbl

[55] P. Villaggio, Kelvin's Solution and Nuclei of Strain in a Solid Mixture. Ann. Sc. Norm. Sup. Pisa, S. IV. X, 1, 109-124 (1983). | fulltext EuDML | MR | Zbl

[56] P. Villaggio, A Free Boundary Value Problem in Plate Theory. Journ. Appl. Mech., vol. 50, 297-302 (1983). | Zbl

[57] P. Villaggio, Isoperimetric Distributions of Loads in Elastostatics. Rend. Sem. Mat. Univ. Padova, vol. 68, 261-268 (1982). | fulltext EuDML | MR | Zbl

[58] P. Villaggio, The Motion of a Detaching Elastic Body. Arch. Rational Mech. Anal. vol. 85 (2),161-110 (1984). | DOI | MR | Zbl

[59] P. Villaggio, Detachment Instabilities in Membranes. Meccanica, vol. 19, 201-205 (1984). | Zbl

[60] P. Villaggio, A Signorini Problem in Elasticity with Prescribed Contact Set. Appl. Math. Optim., vol. 13, 163-774 (1985). | DOI | MR

[61] P. Villaggio, A Correction to the Föppl-v. Karman Equations. Bollettino U.M.I. (6) 4-B, 761-711 (1985). | MR

[62] P. Villaggio, The Main Elastic Capacities of a Spheroid. Arch. Rational Mech. Anal, VoI. 92 (4), 331-353 (1986). | DOI | MR | Zbl

[63] R. Fosdick, P. Villaggio, Influence of the Bending Stiffness on the Shape of a Belt in Steady Motion. J. Appl. Mech., vol. 53 (2), 266-270 (1986).

[64] J. Dunwoody, P. Villaggio, Self Straining at the Interface of two bonded Hyperelastic Half-Spaces Uniformly Pre-Stressed. Quart. J. Mech. Appl. Math., vol. 41 (3), 347-361 (1988). | DOI | MR | Zbl

[65] P. Villaggio, The Virtual Friction of a Sphere Vibrating in an Elastic Medium. Arch. Rat. Mech. Anal., vol. 102 (3),193-203 (1988). | DOI | MR | Zbl

[66] P. Villaggio, Optimal Distributors of Loads in Plane Elastostatics. Meccanica, vol. XXIII, 203-208 (1988). | DOI | MR | Zbl

[67] P. Villaggio, How to Model a Bonded Joint. J. Appl. Mech., vol. 56 (3), 590-594 (1989). | Zbl

[68] P. Villaggio, The Penetration of an Elastic Wedge. Quad. Sc. Norm. Sup. Pisa, 791-797 (1989). | Zbl

[69] R.E.L. Turner, P. Villaggio, A Note on the Motion of a String on a Unilaterally Reacting Foundation. SIAM J. Appl. Math. 49 (4), 1223-1230 (1989). | DOI | MR | Zbl

[70] P. Villaggio, A Mathematical Theory of a Guillotine. Arch. Rat. Mech. Anal., vol. 110 (2), 93-101 (1990). | DOI | MR

[71] P. Villaggio, The Minimal Thickness of a Semicircular Arch with a Tension-Free Crown. Mech. Struct. and Mach., vol. 18 (4), 515-527 (1990).

[72] P. Villaggio, The equilibrium shapes of earth masses. Stab. Appl. Anal. Cont. Mech., vol. 1, 2, 149-164 (1991). | MR

[73] P. Villaggio, The Rigid Inclusion with Highest Penetration. Meccanica. vol. XXVI, 149-153 (1991).

[74] P. Villaggio, The Shape of a Free Surface of a Unilaterally Supported Elastic Body. Ann. Sc. Norm. Sup. Pisa. S.N. V. XVIII, 525-539 (1991). | fulltext EuDML | MR | Zbl

[75] W. Velte, P. Villaggio, On the Detachment of an Elastic Body Bonded to a Rigid Support. Journal of Elasticity, vol. 27, 133-142 (1992). | DOI | MR | Zbl

[76] P. Villaggio, The Best Position of a Reinforcement in an Elastic Sheet. Bollettino U.M.I (7) 6-A, 103-112 (1992). | MR | Zbl

[77] J. Dunwoody, P. Villaggio, A Theory for Brittle Fracture in Compression. Cont. Mech. Therm., vol. 5, 243-254 (1993). | DOI | MR | Zbl

[78] P. Villaggio, Elastic Waves Against a Corrugated Boundary. Meccanica, vol. XXVIII, 153-157 (1993). | Zbl

[79] P. Villaggio, How to Write a Paper on a Subject in Mechanics. Meccanica. vol. XXVIII, 163-167 (1993).

[80] P. Villaggio, The Flattening of Mountain Chains. In Boundary value problems for partial differential equations and applications. C. Baiocchi and J.L. Lions eds., Masson (Paris), 449-454 (1993). | MR | Zbl

[81] P. Villaggio, J. P. Zolésio, New Results in Shape Optimization. In Boundary Control and Boundary Variation (J.P. Zolésio, Ed.) Lecture Notes in Control and Inform. Sci. vol. 178, 356-361, Berlin Heidelberg New York: Springer (1992). | DOI | MR | Zbl

[82] P. Villaggio, The Problem of Packaging. In Partial Differential Equations and Applications. (Marcellini, Talenti, and Vesentini, Eds.). Lecture Notes in Pure and Appl. Math. Series. No 177, 319-321 (1996). | MR

[83] P. Villaggio, The Pillar of Best Efficiency. Journal of Elasticity. vol. 42, 79-89 (1996). | DOI | MR | Zbl

[84] P. Villaggio, The Added Mass of a Deformable Cylinder Moving in a Liquid. Cont. Mech. Therm., vol. 8, 115-120 (1996). | DOI | MR | Zbl

[85] P. Villaggio, The Rebound of an Elastic Sphere Against a Rigid Wall. J. Appl. Mech., vol. 63 (2), 259-263 (1996). | Zbl

[86] P. Villaggio, The Thickness of Roman Arches. In Contemporary Research in the Mechanics and Mathematics of Materials. R.C. Batra and M.F. Beatty (Eds.) CIMNE, Barcellona, 412-479 (1996).

[87] C. O. Horgan, P. Villaggio, A Semi-Inverse Shape Optimization Problem in Linear Anti-Plane Shear. Journal of Elasticity, vol. 45, 53-60 (1996). | DOI | MR | Zbl

[88] P. Villaggio, J.P. Zolésio, Suboptimal Shape of a Plate Stretched by Planar Forces. In Partial Differential Equations Methods in Control and Shape Analysis ( G. Da Prato and J. P. Zolésio, Eds.). Lecture Notes in Pure Appl. Math. vol. 188, 321-331. New York: Marcel Dekker (1997). | MR

[89] P. Villaggio, Some Extensions of Carother's Paradox in Plane Elasticity. Math. Mech. Solids, vol. 3, 17-28 (1998). | DOI | MR | Zbl

[90] P. Villaggio, The Roots of Trees. Cont. Mech. Therm., vol. 10, 233-240 (1998). | DOI | MR | Zbl

[91] R. J. Knops, P. Villaggio, Transverse Decay of Solutions in an Elastic Cylinder. Meccanica, vol. XXXIII, 577-585 (1998). | DOI | MR | Zbl

[92] R. J. Knops, P. Villaggio, Recovery of Stresses in a Beam from those in a Cone. Journal of Elasticity, vol. 53, 65-75 (1999). | DOI | MR | Zbl

[93] R. J. Knops, P. Villaggio, Spatial Behaviour in Plane lncompressible Elasticity on a Half-Strip. Quart. Appl. Math., vol. LVIII, N. 2, 355-367 (2000). | DOI | MR | Zbl

[94] P. Villaggio, The problem of the Stiffener and Advice for the Worm. Math. Comp. Modeling, vol. 34, 1423-1429 (2001). | DOI | MR | Zbl

[95] P. Villaggio, The Shape of Roofs. Meccanica, vol. XXXV, 3, 215-221 (2000). | Zbl

[96] R. J. Knops, P. Villaggio, The High Cantelivered Beam of Minimal Compliance. Q. J. Mec. Appl. Math., vol. 54 (2), 329-339 (2001). | DOI | MR | Zbl

[97] R. J. Knops, P. Villaggio, An elementary theory of the oblique impact of rods. Rend. Mat. Acc. Lincei, Serie 9, vol. 12, 49-56 (2001). | fulltext bdim | fulltext EuDML | MR | Zbl

[98] R. J. Knops, P. Villaggio, Spatial behaviour in the incompressible linear elastic free cylinder. Proc. R. Soc. Lond. A, vol. 457, 2113-2135 (2001). | DOI | MR | Zbl

[99] P. Villaggio, How to design a foundation. Int. J. Solids Struct., vol. 38 (48-49), 8899-8906 (2001). | Zbl

[100] P. Villaggio, How to design a shock absorber. Struct. Multidisc. Optim., vol. 23, 88-93 (2001).

[101] P. Villaggio, 'Wear of an Elastic Block. Meccanica, vol. XXXVI, 243-249, (2007). | DOI | MR | Zbl

[102] P. Villaggio, The apparent propagation velocity of a wave. Rend. Mat. Acc. Lincei, Serie. 9, vol. 12, 191-197 (2001). | fulltext bdim | fulltext EuDML | MR | Zbl

[103] P. Villaggio, Distortions in the History of Mechanics. Meccanica, vol. XXXVI, 589-592 (2001 ) | DOI | MR | Zbl

[104] D. Horstmann, B. Kawohl, P. Villaggio, Newton's aerodynamic problem in the presence of friction. Nonlinear Differ. Equ. Appl., vol. 9, 296-301 (2002). | DOI | MR | Zbl

[105] I. Müller, H.-S. Sahota, P. Villaggio, On the termodynamics of repetitive visco-plastic moulding. Z. angew. Math. Phyis., vol. 53 , 1139-1149 (2002). | DOI | MR | Zbl

[106] J. Jenkins, P. Villaggio, Elastic materials with sparse, rigid reinforcement and debonding. Cont. Mech. Therm., vol. 15, 287-294 (2003). | DOI | MR | Zbl

[107] M. Leitman, P. Villaggio, The Dynamics of a Detaching Rigid Body. Meccanica, vol. 38 (5), 595-609 (2003). | DOI | MR | Zbl

[108] P. Villaggio, Brittle detachment of a stiffener bonded to an elastic plate. J. Eng. Math., vol. 46 (3-4), 409-416 (2003). | DOI | MR | Zbl

[109] P. Villaggio, A Historical Survey of Impact Theories. In Essays on the History of Mechanics, 223-234. Basel: Birkhäuser (2003). | MR

[110] R. J. Knops, P. Villaggio, An Approximate Treatment of Blunt Body Impact. Journal of Elasticity, vol.72, 213-228 (2003). | DOI | MR | Zbl

[111] P. Villaggio, Calcolo delle variazioni e teoria delle strutture. Boll. U.M.I. La Matematica nella Società e nella Cultura Serie VIII, vol. VII-A, 49-76 (2004). | fulltext bdim | fulltext EuDML

[112] P. Villaggio, A model of seismic excitation. Rend. Mat. Acc. Lincei 1.9, vol. 15, 119-123 (2004). | fulltext bdim | fulltext EuDML | Zbl

[113] P. Villaggio, Hammering of Nails and Pitons. Math. Mech. Solids, vol. 10, 461-468 (2005). | DOI | MR | Zbl

[114] P. Villaggio, On Enriques's Foundations of Mechanics. In Two Cultures. Essays in Honour of D. Speiser (K. Williams Ed.) Basel: Birkhäuser, 132-138 (2005). | DOI | MR | Zbl

[115] M. Leitman, P. Villaggio, An Extension of the Complex Variable Method in Plane Elasticity to Domains with Corners: A Notch Problem. Journal of Elasticity, vol. 81, 206-215 (2005). | DOI | MR | Zbl

[116] P. Villaggio, A theory of plastic splashing. Red. Lincei Mat. Appl. 17, 89-93 (2006). | DOI | MR | Zbl

[117] R. Ballarini, P. Villaggio, Frobenius' method for curved cracks. Int. Journal of Fracture 139, 59-69 (2006). | Zbl

[118] M. Leitman, P. Villaggio, The Dynamics of a Membrane Shock-Absorber. Mechanics Based Design of Structures and Machines, vol. 34, 277-292 (2006).

[119] R. J. Knops, P. Villaggio, An optimum braking strategy. Meccanica vol. 41, 693-696 (2006). | DOI | MR | Zbl

[120] R. J. Knops, P. Villaggio, Exact solutions in the reinforcement of a circular plate under concentrated loads. Struct. Multidisc. Optim., vol. 32, 427-433 (2006). | DOI | MR | Zbl

[121] P. Villaggio, Problemi Variazionali Plebei. Boll. U.M.I La Matematica nella Società e nella Cultura. Serie VIII, vol. X-A, 1-20 (2007). | fulltext bdim | fulltext EuDML

[122] P. Villaggio, A mathematical theory of climbing. IMA Joumal of Applied Mathematics, vol. 72, 510-576 (2007). | DOI | MR | Zbl

[123] P. Villaggio, How to climb the face of a mountain. Note di Matematica, vol. 27 (2), 249-255 (2007). | MR | Zbl

[124] P. Villaggio, Small perturbations and large self-quotations. Meccanica, vol. 43, 81-83 (2008). | Zbl

[125] P. Villaggio, Karl-Eugen Kurrer, The History of the Theory of Structures. From Arc Analysis to Computational Mechanics (Book Review). Journal of Elasticity, vol. 93, 199-202 (2008).

[126] P. Villaggio, Axial irnpact on a semi-infinite elastic rod. Rend. Lincei Mat. Appl., vol. 19, 205-210 (2008). | DOI | MR | Zbl

[127] R. J. Knops, P. Villaggio, On Saint-Venant's Principle for Elastic-Plastic Bodies. Math. Mech. Solids, vol.11(7), 601-621 (2009). | DOI | MR | Zbl

[128] P. Villaggio, Some Plebeian Variational Problems. In Variational Analysis and Aerospace Engineering. G. Buttazzo, A. Frediani (eds.). Springer Science * Business Media 509-518 (2009). | DOI | MR | Zbl

[129] P. Villaggio, Deep Foundations. Rend. Lincei Mat. Appl. vol. 20 , 413-420 (2009). | DOI | MR

[130] M. Leitman, P. Villaggio, Plastic Zone around Circular Holes ASCE J. Eng. Mech., vol. 135 (12), 1467-1471 (2009).

[131] P. Villaggio, Reviews of Books. Meccanica, vol. 45, 891-899 (2010). | Zbl

[132] M. Leitman, P. Villaggio, Optimal Parabolic Arches. lntern. J. Eng. Science, vol. 48, 1433-1439 (2010). | DOI | MR | Zbl

[133] P. Villaggio, Artificial and Geological Isoresistant Buttresses. In Mechanics and Architecture between Epistéme and Téchne. Ed. By Anna Sinopoli. Edizioni di Storia e Letteratura. Roma, 25-36 (2010).

[134] R. Ballarini, P. Villaggio, Elastic stress diffusion around a thin corrugated inclusion. IMA Journal of Applied Mathematics vol.76, 633-641 (2011). | DOI | MR | Zbl

[135] M. Leitman, P. Villaggio, An approximate theory of pseudo-arches. lnt. J. Solids Struct., vol. 48, 2960-2964 (2011). | DOI | MR

[136] R. J. Knops, P. Villaggio, Illustrations of Zanaboni's formulation of Saint-Venant's principle. Rend. Lincei Mat. Appl. vol. 22 , 347-364 (2011). | DOI | MR | Zbl

[137] P. Villaggio, Sixty years of solid mechanics. Meccanica, vol. 46, 1171-1189 (2011). | DOI | MR | Zbl

[138] R. J. Knops, P. Villaggio, Remarks on Neuber's Complex Variable Procedure for Plane Elastic Solutions. Z. Angew. Math. Mech., vol. 92 (3), 196-203 (2012). | DOI | MR | Zbl

[139] P. Villaggio, The War like Interest in Impact Theories. In Variational Analysis and Aerospace Engineering. (G. Buttazzo and A. Frediani, Eds.) Springer, 427-434 (2012). | DOI | MR

[140] R. J. Knops, P. Villaggio, On oblique impact of a rigid rod against a Winkler foundation. Cont. Mech.Therm., vol. 24, 559-582 (2012). | DOI | MR | Zbl

[141] R. J. Knops, P. Villaggio, Zanaboni's treatment of Saint-Venant's principle. Applicable Analysis, vol.91, 345-370 (2012). | DOI | MR | Zbl

[142] M. Leitman, P. Villaggio, Some Ambiguities in the Complex Variable Method in Elasticity. Journal of Elasticiry, vol. 109, 223-234 (2012). | DOI | MR | Zbl

[143] M. Leitman, P. Villaggio, The Dynamics of a Landslide. Atti della Acc. Peloritana dei Pericolanti, vol. 91, Suppl. N 1, A11, 1-9 (2013). | MR

[144] P. Villaggio, Crisis of mechanics literature? Meccanica, A8, 765-767 (2013). | Zbl

[145] M. Leitman, P. Villaggio, Parabolic tunnels in a heavy elastic medium. Rend. Lincei Mat. Appl., vol. 24, 1-10 (2013). | DOI | MR | Zbl

[146] R. J. Knops, P. Villaggio, The shape of a glacier. Boll. Unione Mat. Italiana, Serie IX, vol. VI, 299-317 (2013). | fulltext bdim | MR | Zbl

[147] R. J. Knops, P. Villaggio, The optimal shape of a plinth. J. Eng. Sci, vol. 77, 24-29 (2014). | DOI | MR | Zbl

[148] R. J. Knops, P. Villaggio, Deformable stiffener welded to an elastic plate ASCE J. Eng. Mechs, (to appear).

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