LIST OF PAPERS IN METAMATERIALS

[125] F. dell’Isola, T. Lekszycki, M. Pawlikowski, R. Grygoruk and L. Greco “Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence”, Zeitschrift fur angewandte Mathematik und Physik ZAMP vol. 66 (6), 2015, pp. 3473-3498. Download Pdf

[133] F. dell’Isola, I. Giorgio and U. Andreaus “Elastic pantographic 2D lattices: a numerical analysis on the static response and wave propagation”, Proceedings of the Estonian Academy of Sciences, vol. 64 (3), 2015, pp. 219-225. Download Pdf

[136] F. dell’Isola, A. Della Corte, L. Greco and A. Luongo “Plane bias extension test for a continuum with two inextensible families of fibers: A variational treatment with Lagrange multipliers and a perturbation solution”, International Journal of Solids and Structures, vol. 81, 2016, pp. 1-12. 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

[141] F. dell’Isola, D. Steigmann and A. Della Corte “Synthesis of fibrous complex structures: designing microstructure to deliver targeted macroscale response”, Applied Mechanics Reviews, vol. 67 (6), 2016, 060804, 21 pages. (DOI: 10.1115/1.4032206). Download Pdf

[142] F. dell’Isola, A. Della Corte, I. Giorgio and D. Scerrato “Pantographic 2D sheets: Discussion of some numerical investigations and potential applications”, International Journal of Non-Linear Mechanics, vol. 80, 2016, pp. 200-208. Download Pdf

[143] I. Giorgio, A. Della Corte, F. dell’Isola and D. J. Steigmann “Buckling modes in pantographic lattices”, Comptes Rendus – Mécanique, vol. 344 (7), 2016 pp. 487-501. (DOI:10.1016/j.crme.2016.02.009). Download Pdf

[144] M. Cuomo, F. dell’Isola and L. Greco “Simplified analysis of a generalized bias-test for fabrics with two families of inextensible fibres”, Zeitschrift für angewandte Mathematik und Physik, 2016, 39 pages. (DOI: 10.1007/s00033-016-0653-z). Download Pdf

[146] F. dell’Isola, A. Della Corte, R. Esposito, L. Russo “Some cases of unrecognized transmission of scientific knowledge: From antiquity to Gabrio Piola’s peridynamics and generalized continuum theories”, Generalized Continua as Models for Classical and Advanced Materials, Volume 42 of the series Advanced Structured Materials, 2016, pp. 77-128. Download Pdf

[147] F. dell’Isola, S. Bucci and A. Battista “Against the fragmentation of knowledge: The power of multidisciplinary research for the design of metamaterials”, Advanced Methods of Continuum Mechanics for Materials and Structures Volume 60 of the series Advanced Structured Materials, 2016, pp. 523-545. Download Pdf

[148] E. Turco, F. dell’Isola, A. Cazzani and N. L. Rizzi “Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models”, Zeitschrift für angewandte Mathematik und Physik, vol. 67 (4), August 2016 (First online: 25 June 2016), 28 pages. (DOI: 10.1007/s00033-016-0681-8). Download Pdf.

[149] E. Turco, F. dell’Isola, N. L. Rizzi, R. Grygoruk, W. H. Müller and C. Liebold “Fiber rupture in sheared planar pantographic sheets: Numerical and experimental evidence”, Mechanics Research Communications, vol. 76, September 2016 (First online: 1 August 2016), pp. 86-90. (DOI: 10.1016/j.mechrescom.2016.07.007). Download Pdf

[150] F. dell’Isola, M. Cuomo, L. Greco and A. Della Corte “Bias extension test for pantographic sheets: numerical simulations based on second gradient shear energies”, Journal of Engineering Mathematics, 2016, pp. 1-31 (DOI: 10.1007/s10665-016-9865-7). Download Pdf

[151] U. Andreaus, F. dell’Isola, I. Giorgio, L. Placidi, T. Lekszycki and N. L. Rizzi “Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity”, International Journal of Engineering Science, vol. 108, 2016, pp. 34-50. Download Pdf

[152] P. Boisse, N. Hamila, E. Guzman-Maldonado, A. Madeo, G. Hivet and F. dell’Isola “The bias-extension test for the analysis of in-plane shear properties of textile composite reinforcements and prepregs: a review”, International Journal of Material Forming, vol. 10 (4), 2017, pp. 473-492. (Published online: 11 April 2016). (DOI: 10.1007/s12289-016-1294-7). Download Pdf

[154] M. Cuomo, F. dell’Isola, L. Greco and N. L. Rizzi “First versus second gradient energies for planar sheets with two families of inextensible fibres: Investigation on deformation boundary layers, discontinuities and geometrical instabilities”, Composites Part B Engineering, vol. 115, 2017, pp. 423-448. (DOI: 0.1016/j.compositesb.2016.08.043). Download Pdf

[155] I. Giorgio, A. Della Corte and F. dell’Isola “Dynamics of 1D nonlinear pantographic continua”, Nonlinear Dynamics., vol. 88 (1), 2017, pp. 21-31. (First online: 29 November 2016). (DOI: 10.1007/s11071-016-3228-9). Download Pdf

[157] I. Giorgio, U. Andreaus, F. dell’Isola and T. Lekszycki “Viscous second gradient porous materials for bones reconstructed with bio-resorbable grafts”, Extreme Mechanics Letters., vol. 13, 2017, pp. 141-147. (DOI: 10.1016/j.eml.2017.02.008). Download Pdf

[158] C. Boutin, F. dell’Isola, I. Giorgio and L. Placidi ” Linear pantographic sheets: Asymptotic micro-macro models identification”, Mathematics and Mechanics of Complex Systems, vol. 5 (2), 2017, pp. 127–162. (DOI: 10.2140/memocs.2017.5.127). Download Pdf

[160] M. Spagnuolo, K. Barcz, A. Pfaff, F. dell’Isola and P. Franciosi “Qualitative pivot damage analysis in aluminum printed pantographic sheets: Numerics and experiments”, Mechanics Research Communications, vol. 83, 2017, pp. 47-52. Download Pdf

[162] B. E. Abali, W. H. Müller and F. dell’Isola “Theory and computation of higher gradient elasticity theories based on action principles”, Archive of Applied Mechanics, vol. 87 (9), 2017, pp. 1495-1510. (FIRST ONLINE 05 June 2017). (DOI: 10.1007/s00419-017-1266-5). Download Pdf

[164] E. Turco, I. Giorgio, A. Misra and F. dell’Isola “King post truss as a motif for internal structure of (meta)material with controlled elastic properties”, Royal Society Open Science, Published 18 October 2017, 20 pages. (DOI: 10.1098/rsos.171153). Download Pdf

[165] V. A. Eremeyev, F. dell’Isola, C. Boutin and D. Steigmann “Linear pantographic sheets: Existence and uniqueness of weak solutions”, Journal of Elasticity, First Online: 06 November 2017, pp. 1-22. (DOI 10.1007/s10659-017-9660-3). Download Pdf

[169] A. Misra, T. Lekszycki, I. Giorgio, G. Ganzoschf, W. H. Müller and F. dell’Isola “Pantographic Metamaterials Show Atypical Poynting Effect Reversal”, Mechanics Research Communications, vol. 89, 2018, pp. 6-10. (FIRST online 24 February 2018). [DOI: https://doi.org/10.1016/j.mechrescom.2018.02.003]. Download Pdf

[172] E. Barchiesi, F. dell’Isola, M. Laudato, L. Placidi and P. Seppecher “A 1D continuum model for beams with pantographic microstructure: Asymptotic micro-macro identification and numerical results”, Advances in Mechanics of Microstructured Media and Structures, FIRST ONLINE: 28 February 2018. pp. 43-74 [DOI: 10.1007/978-3-319-73694-5_4 ]. Download Pdf

[175] E. Turco, A. Misra, M. Pawlikowski, F. dell’Isola and F. Hild “Enhanced Piola–Hencky discrete models for pantographic sheets with pivots without deformation energy: numerics and experiments”, International Journal of Solids and Structures, Available online 17 May 2018. 34 pages. [DOI: 10.1016/j.ijsolstr.2018.05.015 ]. Download Pdf

[176] I. Giorgio, P. Harrison, F. dell’Isola, J. Alsayednoor and E. Turco “Wrinkling in engineering fabrics: a comparison between two different comprehensive modelling approaches”, Proceedings of The Royal Society A Mathematical, Physical and Engineering Sciences, vol. 474 (2216), 2018, 20 pages, [DOI: 10.1098/rspa.2018.0063 ]. Download Pdf

[177] I. Giorgio, F. dell’Isola and D. J. Steigmann “Axisymmetric deformations of a 2nd grade elastic cylinder”, Mechanics Research Communications, Available online 8 September 2018. [DOI: https://doi.org/10.1016/j.mechrescom.2018.09.004]. Download Pdf

[178] F. dell’Isola, P. Seppecher, J. J. Alibert, T. Lekszycki, R. Grygoruk, M. Pawlikowski, D. Steigmann, I. Giorgio, U. Andreaus, E. Turco, M. Gołaszewski, N. Rizzi, C. Boutin, V. A. Eremeyev, A. Misra, L. Placidi, E. Barchiesi, L. Greco, M. Cuomo, A. Cazzani, A. Della Corte, A. Battista, D. Scerrato, I. Z. Eremeeva, Y. Rahali, J.-F. Ganghoffer, W. Müller, G. Ganzosch, M. Spagnuolo, A. Phaff, K. Barcz, K. Hoschke, J. Neggers and F. Hild “Pantographic metamaterials: an example of mathematically driven design and of its technological challenges”, Continuum Mechanics and Thermodynamics, 2019, vol. 31 (4), pp. 851-884. [Available online 30 June 2018]. [DOI: 10.1007/s00161-018-0689-8 ]. Download Pdf

[179] I. Giorgio, F. dell’Isola and D. J. Steigmann “Edge Effects in Hypar Nets”, Comptes Rendus – Mécanique, vol. 347 (2), 2019, pp. 114-123. [DOI: 10.1016/j.crme.2019.01.003]. Download Pdf

[181] E. Barchiesi, S. R. Eugster, L. Placidi and F. dell’Isola “Pantographic beam: a complete second gradient 1D-continuum in plane”, ZAMP – Zeitschrift für angewandte Mathematik und Physik, FIRST ONLINE 16 August 2019, 24 pages. [DOI: https://doi.org/10.1007/s00033-019-1181-4]. Download Pdf

[187] N. Nejadsadeghi, M. De Angelo, R. Drobnicki, T. Lekszycki, F. dell’Isola and A. Misra “Parametric experimentation on pantographic unit cells reveals local extremum configuration”, Experimental Mechanics, FIRST ONLINE: 24 April 2019, pp. 1-13. Download Pdf

[192] F. dell’Isola, E. Turco, A. Misra, Z. Vangelatos, C. Grigoropoulos, V. Melissinaki and M. Farsari “Force–displacement relationship in micro-metric pantographs: Experiments and numerical simulations”, Comptes Rendus Mécanique, 2019, vol. 347 (5), pp. 397-405. [DOI: https://doi.org/10.1016/j.crme.2019.03.015]. Download Pdf

[202] L. Placidi, F. dell’Isola and E. Barchiesi “Heuristic homogenization of Euler and pantographic beams”, Mechanics of Fibrous Materials and Applications – Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 596), 2020, pp.123-155. [FIRST ONLINE: 28 July 2019]Download Pdf

[203] E. F. Grekova, A. V. Porubov and F. dell’Isola “Reduced linear constrained elastic and viscoelastic homogeneous Cosserat media as acoustic metamaterials”, Simmetry , 2020, vol. 12 (4), 22 pages. 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

[215] V. A. Eremeyev, S. A. Lurie, Y. O. Solyaev and F. dell’Isola “On the well posedness of static boundary value problem within the linear dilatational strain gradient elasticity”, Zeitschrift für angewandte Mathematik und Physik ZAMP, 71:82, 2020, 16 pages. [DOI: https://doi.org/10.1007/s00033-020-01395-5]. Download Pdf

[216] E. Barchiesi, F. dell’Isola, A. M. Bersani and E. Turco “Equilibria determination of elastic articulated duoskelion beams in 2D via a Riks-type algorithm”, International Journal of Non-Linear Mechanics, vol. 128, 2021, (103628), 24 pages. [Available online 17 October 2020]. [DOI: https://doi.org/10.1016/j.ijnonlinmec.2020.103628]. Download Pdf

[217] P. Auger, T. Lavigne, B. Smaniotto, M. Spagnuolo, F. Dell’isola and F. Hild “Poynting Effects in Pantographic Metamaterial Captured via Multiscale DVC”, Journal of Strain Analysis for Engineering Design, 2021, Volumes 208–209, pp. 49-62. Download Pdf

[219] U. Mühlich, B. E. Abali and F. dell’Isola “Commented translation of Erwin Schrödinger’s paper ‘On the dynamics of elastically coupled point systems’ (Zur Dynamik elastisch gekoppelter Punktsysteme)”, Mathematics and Mechanics of Solids, [first published online: August 5, 2020], 2021, Vol 26, Issue 1, 16 pages. [DOI: https://doi.org/10.1177/1081286520942955]. Download Pdf

[220] F. Hild, A. Misra and F. dell’Isola “Multiscale DIC applied to Pantographic Structures”, Experimental Mechanics, 2021, vol. 61, pp. 431-443 . Download Pdf

[221] E. Barchiesi, F. dell’Isola and F. Hild “On the Validation of Homogenized Modeling for Bi-Pantographic Metamaterials via Digital Image Correlation”, International Journal of Solids and Structures, 2021, vol. 208–209, pp. 49-62. Download Pdf

[224] E. Turco, E. Barchiesi, F. dell’Isola “A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams”, Mathematics and Mechanics of Solids, 2021, 27 pages. [DOI: https://doi.org/DOI: 10.1177/10812865211010877]. Download Pdf

[228] Z. Vangelatos, M.E. Yildizdag, I. Giorgio, F. dell’Isola, C. Grigoropoulos “Investigating the mechanical response of microscale pantographic structures fabricated by multiphoton lithography” Extreme Mechanics Letters, 2021, vol. 43, 8 pages. Download Pdf

[242] L. Placidi, E. Barchiesi, F. dell’Isola, V. Maksimov, A. Misra, N. Rezaei, A. Scrofani, D. Timofeev “On a hemi-variational formulation for a 2D elasto-plastic-damage strain gradient solid with granular microstructure” Mathematics in Engineering, 2023, vol. 5 (1), pp. 1-24. [DOI: 10.3934/mine.2023021]. 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

[250] A. Ciallella, F. D’Annibale, F. dell’Isola, D. Del Vescovo and I. Giorgio “Modal Analysis of a Second-Gradient Annular Plate made of an Orthogonal Network of Logarithmic Spiral Fibers” Sixty Shades of Generalized Continua: Dedicated to the 60th Birthday of Prof. Victor A. Eremeyev, [CHAPTER of Book], 2023, pp. 103-116. Download Pdf

[251] E. Turco, E. Barchiesi and F. dell’Isola “Nonlinear dynamics of origami metamaterials: energetic discrete approach accounting for bending and in-plane deformation of facets” Zeitschrift für angewandte Mathematik und Physik, 2023, vol. 74 (1), 29 pages. DOI: https://doi.org/10.1007/s00033-022-01917-3. Download Pdf

[253] M. Stilz, F. dell’Isola and S. Hiermaier”Complete 1D continuum model for a pantographic beam by asymptotic homogenization from discrete elements with shear deformation measure” Mechanics Research Communications, 2023, Vol. 127, pp. 104042. Download Pdf

[254] J.-J. Alibert, E. Barchiesi, F. dell’Isola and P. Seppecher “A Class of One Dimensional Periodic Microstructures Exhibiting Effective Timoshenko Beam Behavior” ESAIM: Control, Optimisation and Calculus of Variations, 2023, Vol. 29, Article Number:53, 28 pages. [DOI: https://doi.org/10.1051/cocv/2023048]. Download Pdf

[255] I. Giorgio, F. dell’Isola and D. J. Steigmann “Second-grade elasticity of three-dimensional pantographic lattices: theory and numerical experiments” Continuum Mechanics and Thermodynamics, 2023, 13 pages. [DOI: https://doi.org/10.1007/s00161-023-01240-w]. Download Pdf