LIST OF PAPERS IN FOUNDATIONS OF CONTINUUM MECHANICS

[1] F. dell’Isola and A. Romano, “On a general balance law for continua with an interface,” Ricerche Mat., vol. 35, 1986, pp. 325-337. Download Pdf

[2] F. dell’Isola and A. Romano, “On the derivation of thermomechanical balance equations for continuous systems with a nonmaterial interface,” International Journal of Engineering Science, vol. 25 (11-12), 1987, pp. 1459-1468. Download Pdf

[3] F. dell’Isola and A. Romano, “A phenomenological approach to phase transition in classical field theory,” International Journal of Engineering Science, vol. 25 (11-12), 1987, pp. 1469-1475. Download Pdf

[7]* F. dell’Isola and W. Kosinski, “The curved Interface with variable thickness,” Proceedings of the 5th bilateral Polish-Italian Meeting Thermodynamics and Kinetic Theory, Kosinski-Larecki-Morro-Zorski, 1990. Download Pdf

[8]* F. dell’Isola and W. Kosinski, “The interfaces between phases as a layer Part II. A H-oder model for two-dimensional nonmaterial continua. Waves and stability in continuos media,” Proceedings of Vth International Meeting Waves and Stability in Continous Media, 1991. Download Pdf

[10] F. dell’Isola and W. Kosinski, “Deduction of thermodynamic balance laws for bidimensional nonmaterial directed continua modelling interphase layers,” Archives of Mechanics, vol. 45 (3), 1993, pp. 333-359. Download Pdf

[12] F. dell’Isola, “On the lack of Structure of Defay-Prigogine 2D-Continua,” Archives of Mechanics, vol. 46 (3), 1994, pp. 329-341. Download Pdf

[13]* F. dell’Isola and G. Rotoli, “On the problem of generalizing Tolman formula” Atti del XII Congresso Nazionale sulla trasmissione del calore 23-24 Giugno 1994. Download Pdf

[17] F. dell’Isola and P. Seppecher, “The relationship between edge contact forces, double forces and interstitial working allowed by the principle of virtual power,” Comptes Rendus de l’Academie de Sciences – Serie IIb: Mecanique, Physique, Chimie, Astronomie, vol. 321, 1995, pp. 303-308.Download Pdf

[21] F. dell’Isola, H. Gouin, and G. Rotoli, “Nucleation of spherical shell-like interfaces by second gradient theory: Numerical simulations,” European Journal of Mechanics, B/Fluids, vol. 15 (4), 1996, pp. 545-568. Download Pdf

[31] F. dell’Isola and P. Seppecher, “Edge Contact Forces and Quasi-Balanced Power,” Meccanica, vol. 32 (1), 1997, pp. 33-52. Download Pdf

[64] J. Alibert, P. Seppecher, and F. dell’Isola, “Truss modular beams with deformation energy depending on higher displacement gradients,” Mathematics and Mechanics of Solids, vol. 8 (1), 2003, pp. 51-73. Download Pdf

[78] C. Maurini, F. dell’Isola and J. Pouget, “On models of layered piezoelectric beams for passive vibration control,” Journal de Physique IV (Proceedings), vol. 115, 2004, p. 307–316. Download Pdf

[79] C. Maurini, J. Pouget, and F. dell’Isola, “On a model of layered piezoelectric beams including transverse stress effect,” International journal of solids and structures, vol. 41 (16-17), 2004, p. 4473–4502. Download Pdf

[94] C. Maurini, J. Pouget, and F. dell’Isola, “Extension of the Euler Bernoulli model of piezoelectric laminates to include 3D effects via a mixed approach,” Computers and Structures, vol. 84 (22-23), 2006, pp. 1438-1458. Download Pdf

[104] F. dell’Isola, A. Madeo, and P. Seppecher, “Boundary conditions at fluid-permeable interfaces in porous media: A variational approach,” International Journal of Solids and Structures, vol. 46 (17), 2009 Download Pdf

[108] F. dell’Isola and P. Seppecher, “Commentary about the paper ‘ Hypertractions and hyperstresses convey the same mechanical information Continuum Mech. Thermodyn. (2010) 22:163-176 ‘ by Prof. Podio Guidugli and Prof. Vianello and some related papers on higher gradient theories” Continuum Mechanics and Thermodynamics, vol. 23 (5), 2011, pp. 473-478  Download Pdf

[111]* F. dell’Isola, P. Seppecher and A. Madeo “Beyond Euler-Cauchy Continua: The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument.” Variational Models and Methods in Solid and Fluid Mechanics CISM Courses and Lectures vol. 535, 2012, pag. 17-106. Download Pdf

[113]* F. dell’Isola and L. Placidi “Variational principles are a powerful tool also for formulating field theories”, Variational Models and Methods in Solid and Fluid Mechanics CISM Courses and Lectures vol. 535, 2012, pag. 1-15. Download Pdf

[115] F. dell’Isola, P. Seppecher and A. Madeo “How contact interactions may depend on the shape of Cauchy cuts in N-th gradient continua: approach “à la D’Alembert” “, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), vol.63 (6), 2012, pp. 1119-1141. Download Pdf

[122] F. dell’Isola, and D. Steigmann “A two-dimensional gradient-elasticity theory for woven fabrics”, Journal of Elasticity, vol. 118 (1), 2015, pp.113-125.  Download Pdf

[124] A. Carcaterra, F. dell’Isola, R. Esposito and M. Pulvirenti “Macroscopic description of microscopically strongly inhomogenous systems: A mathematical basis for the synthesis of higher gradients metamaterials”, Archive for Rational Mechanics and Analysis, vol. 218 (3), 2015, pp. 1239-1262. Download Pdf

[126] D.J. Steigmann and F. dell’Isola “Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching”, Acta Mechanica Sinica, vol. 31 (3), 2015, pp. 373-382. Download Pdf

[127] I. Giorgio, R. Grygoruk, F. dell’Isola and D.J. Steigmann “Pattern formation in the three-dimensional deformations of fibered sheets”, Mechanics Research Communications, vol. 69, 2015, pp. 164–171. Download Pdf

[128] F. dell’Isola, U. Andreaus and L. Placidi “At the origins and in the vanguard of peridynamics, non-local and higher gradient continuum mechanics. An underestimated and still topical contribution of Gabrio Piola”, Mechanics and Mathematics of Solids (MMS), vol. 20 (8), 2015, pp. 887-928. (Published online before print February 2, 2014). Download Pdf

[129] N. Auffray, F. dell’Isola, V. Eremeyev, A. Madeo and G. Rosi “Analytical continuum mechanics à la Hamilton-Piola: least action principle for second gradient continua and capillary fluids”, Mechanics and Mathematics of Solids (MMS), vol. 20 (4), 2015, pp. 375-417. (Published online before print August 28, 2013).Download Pdf

[132] F. dell’Isola, P. Seppecher and A. Della Corte “The postulations á la D’Alembert and á la Cauchy for higher gradient continuum theories are equivalent: a review of existing results”, Proceedings of The Royal Society A, vol. 471 (2183), 2015, 25 pages. Download Pdf

[137] F. dell’Isola, A. Della Corte and I. Giorgio “Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives”, Mathematics and Mechanics of Solids, Published online before print January 14, 2016, 21 pages. (DOI: 10.1177/1081286515616034) Download Pdf

[138] F. dell’Isola, I. Giorgio, M. Pawlikowski and N. L. Rizzi “Large deformations of planar extensible beams and pantographic lattices: heuristic homogenization, experimental and numerical examples of equilibrium”, Proceedings of the Royal Society of London A, vol. 472 (2185), 2016, 23 pages. Download Pdf

[140] F. dell’Isola, A. Madeo and P. Seppecher “Cauchy tetrahedron argument applied to higher contact interactions”, Archive for Rational Mechanics and Analysis, vol. 219 (3), 2016, pp. 1305-1341 (Published online before print September 2015). Download Pdf

[214] V. A. Eremeyev and F. dell’Isola “Weak Solutions within the Gradient-Incomplete Strain-Gradient Elasticity”, Lobachevskii Journal of Mathematics, 2020, vol. 41 (10), pp. 191-197. [DOI: 10.1134/S1995080220100078]. Download Pdf

[231] Y. Solyaev, S. Lurie, H. Altenbach, F. dell’Isola “On the elastic wedge problem within simplified and incomplete strain gradient elasticity theories” International Journal of Solids and Structures, 2022, 111433. Download Pdf

[232] F. dell’Isola, S.R. Eugster, R. Fedele, P. Seppecher “Second-gradient continua: From Lagrangian to Eulerian and back” Mathematics and Mechanics of Solids, 2022, 10812865221078822. Download Pdf

[244] F. dell’Isola and A. Misra “Principle of Virtual Work as Foundational Framework for Metamaterial Discovery and Rational Design” Comptes Rendus. Mécanique, 2023, Vol. 351 (S3), pp. 1-25. [Available online 02 March 2023] . Download Pdf

[245] A. M. Bersani, P. Caressa and F. dell’Isola “Approximation of dissipative systems by elastic chains: Numerical evidence” Mathematics and Mechanics of Solids, 2023, Vol. 28 (2), pp. 501-520. [First online 24 March 2022] . Download Pdf

[246] F. dell’isola and M. Stilz “The «materialization» of forces: Why confounding mathematical concept and physical entity makes the design of metamaterials arduous” ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 2023, Vol. 103 (2), pp. e202200433. [First online 08 November 2022]. Download Pdf

[249] F. dell’Isola and R. Fedele “Irreducible representation of surface distributions and Piola transformation of external loads sustainable by third gradient continua” Comptes Rendus. Mécanique, Published online: 28 April 2023, pp. 1-30. Download Pdf