All Stories

  1. OPERA: A Unified Framework for AI-Assisted Polymer Metamaterial Design Through Operator Learning, Physics Embedding, and Normalizing-Flow Inverse Architecture

    Article • Polymers, July 2026, MDPI AG

    Prof. Ivan Giorgio

  2. Biomechanical modeling of maxillary expansion: Toward an evolutionary boundary value problem for the midpalatal suture

    Article • Mechanics Research Communications, June 2026, Elsevier

    Prof. Ivan Giorgio

  3. Thermal analysis of multilayered composite walls: experimental investigation and comparison with tolerance modeling and FEM

    Article • Zeitschrift für angewandte Mathematik und Physik, May 2026, Springer Science + Business Media

    Prof. Ivan Giorgio

  4. Nonlinear seismic wave effects caused by high-energy earthquakes in heterogeneous stratified basins: A refined 2D model of the Aterno Valley in L’Aquila

    Article • Mathematics and Mechanics of Solids, April 2026, SAGE Publications

    Prof. Ivan Giorgio

  5. A nonlinear micropolar continuum model with diffusion–reaction equation for remodeling of bone with trabecular lattice microarchitecture

    Article • Mathematics and Mechanics of Solids, January 2026, SAGE Publications

    Prof. Ivan Giorgio, Professor Emeritus Christian SOIZE

  6. An investigation of thermoelastic behavior in periodic and functionally graded multilayered composite structures using tolerance modeling and finite element methods

    Article • Mechanics Research Communications, December 2025, Elsevier

    Prof. Ivan Giorgio

  7. Mechanical in-silico modeling of orthodontic tooth movement: A review of the boundary value problem

    Article • Mathematics and Mechanics of Solids, October 2025, SAGE Publications

    Prof. Ivan Giorgio

  8. A mixed Cosserat and higher gradient formulation for fibrous tissues and biomaterials

    Article • International Journal of Solids and Structures, October 2025, Elsevier

    Prof. Ivan Giorgio

  9. New hinge design for fibrous metamaterial enables for filament 3D printing

    Article • Mechanics Research Communications, September 2025, Elsevier

    Prof. Ivan Giorgio

  10. A generalised plate with kinematically independent thickness for modelling shapes of corneas affected by keratoconus before and after penetrating keratoplasty

    Article • Mathematics and Mechanics of Solids, July 2025, SAGE Publications

    Prof. Ivan Giorgio

  11. Non-linear effects in seismic waves in high-energy earthquakes: A two-dimensional analysis for non-homogeneous isotropic media with a view towards the study of the 2009 L’Aquila earthquake

    Article • Mathematics and Mechanics of Solids, April 2025, SAGE Publications

    Prof. Ivan Giorgio

  12. Simulating bone healing with bio-resorbable scaffolds in a three-dimensional system: insights into graft resorption and integration

    Article • Comptes Rendus Mécanique, March 2025, Cellule MathDoc/CEDRAM

    Prof. Ivan Giorgio

  13. Heat conduction in multi-component step-wise FGMs

    Article • Continuum Mechanics and Thermodynamics, March 2024, Springer Science + Business Media

    Prof. Ivan Giorgio

  14. A 3D pantographic metamaterial behaving as a mechanical shield: Experimental and numerical evidence

    Article • Materials & Design, January 2024, Elsevier

    Prof. Ivan Giorgio

  15. An orthotropic continuum model with substructure evolution for describing bone remodeling: an interpretation of the primary mechanism behind Wolff’s law

    Article • Biomechanics and Modeling in Mechanobiology, August 2023, Springer Science + Business Media

    Prof. Ivan Giorgio

  16. Second-grade elasticity of three-dimensional pantographic lattices: theory and numerical experiments

    Article • Continuum Mechanics and Thermodynamics, July 2023, Springer Science + Business Media

    Prof. Ivan Giorgio

  17. A model for the bio-mechanical stimulus in bone remodelling as a diffusive signalling agent for bones reconstructed with bio-resorbable grafts

    Article • Mechanics Research Communications, May 2023, Elsevier

    Prof. Ivan Giorgio

  18. Wrinkling of twisted thin films

    Article • International Journal of Solids and Structures, February 2023, Elsevier

    Prof. Ivan Giorgio

  19. A Proposal for a Novel Formulation Based on the Hyperbolic Cattaneo’s Equation to Describe the Mechano-Transduction Process Occurring in Bone Remodeling

    Article • Symmetry, November 2022, MDPI AG

    Prof. Ivan Giorgio

  20. To Francesco dell’Isola

    Article • Mathematics and Mechanics of Solids, September 2022, SAGE Publications

    Prof. Ivan Giorgio

  21. A continuum model based on Rayleigh dissipation functions to describe a Coulomb-type constitutive law for internal friction in woven fabrics

    Article • Zeitschrift für angewandte Mathematik und Physik, September 2022, Springer Science + Business Media

    Prof. Ivan Giorgio

  22. Maestro and his pupils: History of a scientific production

    Article • Mathematics and Mechanics of Solids, August 2022, SAGE Publications

    Prof. Ivan Giorgio

  23. Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets

    Article • Wave Motion, August 2022, Elsevier

    Prof. Ivan Giorgio

  24. Shear rupture mechanism and dissipation phenomena in bias-extension test of pantographic sheets: Numerical modeling and experiments

    Article • Mathematics and Mechanics of Solids, July 2022, SAGE Publications

    Prof. Ivan Giorgio

  25. Bone Remodeling Process Based on Hydrostatic and Deviatoric Strain Mechano-Sensing

    Article • Biomimetics, May 2022, MDPI AG

    Prof. Ivan Giorgio

  26. A variational formulation for one-dimensional linear thermoviscoelasticity

    Article • Mathematics and Mechanics of Complex Systems, December 2021, Mathematical Sciences Publishers

    Prof. Ivan Giorgio

  27. Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime

    Article • Zeitschrift für angewandte Mathematik und Physik, October 2021, Springer Science + Business Media

    Prof. Ivan Giorgio

  28. A rate-independent internal friction to describe the hysteretic behavior of pantographic structures under cyclic loads

    Article • Mechanics Research Communications, September 2021, Elsevier

    Prof. Ivan Giorgio

  29. Mesoscale modeling and experimental analyses for pantographic cells: Effect of hinge deformation

    Article • Mechanics of Materials, September 2021, Elsevier

    Prof. Ivan Giorgio

  30. Electrical analogs of curved beams and application to piezoelectric network damping

    Article • Mathematics and Mechanics of Solids, July 2021, SAGE Publications

    Prof. Ivan Giorgio

  31. A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: Clamped rectangular incompressible elastic plates

    Article • Mathematics and Mechanics of Solids, July 2021, SAGE Publications

    Prof. Ivan Giorgio

  32. Bio-Inspired Design of a Porous Resorbable Scaffold for Bone Reconstruction: A Preliminary Study

    Article • Biomimetics, March 2021, MDPI AG

    Prof. Ivan Giorgio

  33. Dynamics of pantographic sheet around the clamping region: experimental and numerical analysis

    Article • Mathematics and Mechanics of Solids, March 2021, SAGE Publications

    Prof. Ivan Giorgio

  34. Investigating the mechanical response of microscale pantographic structures fabricated by multiphoton lithography

    Article • Extreme Mechanics Letters, February 2021, Elsevier

    Prof. Ivan Giorgio

  35. In-depth gaze at the astonishing mechanical behavior of bone: A review for designing bio-inspired hierarchical metamaterials

    Article • Mathematics and Mechanics of Solids, December 2020, SAGE Publications

    Prof. Ivan Giorgio

  36. Lattice shells composed of two families of curved Kirchhoff rods: an archetypal example, topology optimization of a cycloidal metamaterial

    Article • Continuum Mechanics and Thermodynamics, November 2020, Springer Science + Business Media

    Prof. Ivan Giorgio

  37. A study about the impact of the topological arrangement of fibers on fiber-reinforced composites: Some guidelines aiming at the development of new ultra-stiff and ultra-soft metamaterials

    Article • International Journal of Solids and Structures, October 2020, Elsevier

    Prof. Ivan Giorgio

  38. Chirality in 2D Cosserat media related to stretch-micro-rotation coupling with links to granular micromechanics

    Article • International Journal of Solids and Structures, October 2020, Elsevier

    Prof. Ivan Giorgio

  39. A discrete formulation of Kirchhoff rods in large-motion dynamics

    Article • Mathematics and Mechanics of Solids, February 2020, SAGE Publications

    Prof. Ivan Giorgio

  40. Equilibrium of Two-Dimensional Cycloidal Pantographic Metamaterials in Three-Dimensional Deformations

    Article • Symmetry, December 2019, MDPI AG

    Prof. Ivan Giorgio

  41. A Biot–Cosserat two-dimensional elastic nonlinear model for a micromorphic medium

    Article • Continuum Mechanics and Thermodynamics, November 2019, Springer Science + Business Media

    Prof. Ivan Giorgio

  42. A review of recent developments in mathematical modeling of bone remodeling

    Article • Proceedings of the Institution of Mechanical Engineers Part H Journal of Engineering in Medicine, June 2019, SAGE Publications

    Prof. Ivan Giorgio

  43. On mechanically driven biological stimulus for bone remodeling as a diffusive phenomenon

    Article • Biomechanics and Modeling in Mechanobiology, May 2019, Springer Science + Business Media

    Prof. Ivan Giorgio

  44. Nonlinear dynamics of uniformly loaded Elastica : Experimental and numerical evidence of motion around curled stable equilibrium configurations

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, April 2019, Wiley

    Prof. Ivan Giorgio

  45. Edge effects in Hypar nets

    Article • Comptes Rendus Mécanique, February 2019, Elsevier

    Prof. Ivan Giorgio

  46. Numerical identification of constitutive parameters in reduced-order bi-dimensional models for pantographic structures: application to out-of-plane buckling

    Article • Archive of Applied Mechanics, January 2019, Springer Science + Business Media

    Prof. Ivan Giorgio, Bilen Emek Abali

  47. Axisymmetric deformations of a 2nd grade elastic cylinder

    Article • Mechanics Research Communications, December 2018, Elsevier

    Prof. Ivan Giorgio

  48. Non-Linear Lumped-Parameter Modeling of Planar Multi-Link Manipulators with Highly Flexible Arms

    Article • Robotics, September 2018, MDPI AG

    Prof. Ivan Giorgio

  49. Wrinkling in engineering fabrics: a comparison between two different comprehensive modelling approaches

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, August 2018, Royal Society Publishing

    Prof. Ivan Giorgio

  50. Material characterization and computations of a polymeric metamaterial with a pantographic substructure

    Article • Zeitschrift für angewandte Mathematik und Physik, July 2018, Springer Science + Business Media

    Prof. Ivan Giorgio, Bilen Emek Abali

  51. Pantographic metamaterials: an example of mathematically driven design and of its technological challenges

    Article • Continuum Mechanics and Thermodynamics, June 2018, Springer Science + Business Media

    Prof. Ivan Giorgio

  52. Metamaterials with relative displacements in their microstructure: technological challenges in 3D printing, experiments and numerical predictions

    Article • Continuum Mechanics and Thermodynamics, June 2018, Springer Science + Business Media

    Prof. Ivan Giorgio

  53. Virtual spring damper method for nonholonomic robotic swarm self-organization and leader following

    Article • Continuum Mechanics and Thermodynamics, April 2018, Springer Science + Business Media

    Prof. Ivan Giorgio

  54. Pantographic metamaterials show atypical Poynting effect reversal

    Article • Mechanics Research Communications, April 2018, Elsevier

    Prof. Ivan Giorgio

  55. Variational Principles in Numerical Practice

    Article • December 2017, Springer Science + Business Media

    Prof. Ivan Giorgio

  56. Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, November 2017, Royal Society Publishing

    Prof. Ivan Giorgio

  57. King post truss as a motif for internal structure of (meta)material with controlled elastic properties

    Article • Royal Society Open Science, October 2017, Royal Society Publishing

    Prof. Ivan Giorgio

  58. Modelling flexible multi-link robots for vibration control: Numerical simulations and real-time experiments

    Article • Mathematics and Mechanics of Solids, September 2017, SAGE Publications

    Prof. Ivan Giorgio

  59. Pantographic lattices with non-orthogonal fibres: Experiments and their numerical simulations

    Article • Composites Part B Engineering, June 2017, Elsevier

    Prof. Ivan Giorgio

  60. Linear pantographic sheets: Asymptotic micro-macro models identification

    Article • Mathematics and Mechanics of Complex Systems, May 2017, Mathematical Sciences Publishers

    Prof. Ivan Giorgio

  61. Viscous second gradient porous materials for bones reconstructed with bio-resorbable grafts

    Article • Extreme Mechanics Letters, May 2017, Elsevier

    Prof. Ivan Giorgio

  62. Extensional Elastica in large deformation as $$\Gamma $$ Γ -limit of a discrete 1D mec...

    Article • Zeitschrift für angewandte Mathematik und Physik, March 2017, Springer Science + Business Media

    Prof. Ivan Giorgio

  63. Finite-Element Analysis of Polyhedra under Point and Line Forces in Second-Strain Gradient Elasticity

    Article • Journal of Engineering Mechanics, February 2017, American Society of Civil Engineers (ASCE)

    Prof. Ivan Giorgio

  64. Modeling Deformable Bodies Using Discrete Systems with Centroid-Based Propagating Interaction: Fracture and Crack Evolution

    Article • January 2017, Springer Science + Business Media

    Prof. Ivan Giorgio

  65. Can a Hencky-Type Model Predict the Mechanical Behaviour of Pantographic Lattices?

    Article • January 2017, Springer Science + Business Media

    Prof. Ivan Giorgio

  66. Dynamics of 1D nonlinear pantographic continua

    Article • Nonlinear Dynamics, November 2016, Springer Science + Business Media

    Prof. Ivan Giorgio

  67. Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity

    Article • International Journal of Engineering Science, November 2016, Elsevier

    Prof. Ivan Giorgio

  68. Variational Feedback Control for a nonlinear beam under an earthquake excitation

    Article • Mathematics and Mechanics of Solids, August 2016, SAGE Publications

    Prof. Ivan Giorgio

  69. Bias extension test on an unbalanced woven composite reinforcement: Experiments and modeling via a second-gradient continuum approach

    Article • Journal of Composite Materials, July 2016, SAGE Publications

    Prof. Ivan Giorgio

  70. Numerical identification procedure between a micro-Cauchy model and a macro-second gradient model for planar pantographic structures

    Article • Zeitschrift für angewandte Mathematik und Physik, July 2016, Springer Science + Business Media

    Prof. Ivan Giorgio

  71. Buckling modes in pantographic lattices

    Article • Comptes Rendus Mécanique, July 2016, Elsevier

    Prof. Ivan Giorgio

  72. In plane shear and bending for first gradient inextensible pantographic sheets: numerical study of deformed shapes and global constraint reactions

    Article • Mathematics and Mechanics of Solids, June 2016, SAGE Publications

    Prof. Ivan Giorgio

  73. Towards the design of an enriched concrete with enhanced dissipation performances

    Article • Cement and Concrete Research, June 2016, Elsevier

    Prof. Ivan Giorgio

  74. Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model

    Article • Journal of Engineering Mathematics, May 2016, Springer Science + Business Media

    Prof. Ivan Giorgio

  75. Modeling of a non-local stimulus for bone remodeling process under cyclic load: Application to a dental implant using a bioresorbable porous material

    Article • Mathematics and Mechanics of Solids, May 2016, SAGE Publications

    Prof. Ivan Giorgio

  76. Three-dimensional instabilities of pantographic sheets with parabolic lattices: numerical investigations

    Article • Zeitschrift für angewandte Mathematik und Physik, April 2016, Springer Science + Business Media

    Prof. Ivan Giorgio

  77. Pantographic 2D sheets: Discussion of some numerical investigations and potential applications

    Article • International Journal of Non-Linear Mechanics, April 2016, Elsevier

    Prof. Ivan Giorgio

  78. Multi-scale concrete model with rate-dependent internal friction

    Article • European Journal of Environmental and Civil engineering, February 2016, Taylor & Francis

    Prof. Ivan Giorgio

  79. A visco-poroelastic model of functional adaptation in bones reconstructed with bio-resorbable materials

    Article • Biomechanics and Modeling in Mechanobiology, January 2016, Springer Science + Business Media

    Prof. Ivan Giorgio

  80. Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives

    Article • Mathematics and Mechanics of Solids, January 2016, SAGE Publications

    Francesco dell'Isola, Prof. Ivan Giorgio

  81. Large deformations of planar extensible beams and pantographic lattices: heuristic homogenization, experimental and numerical examples of equilibrium

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, January 2016, Royal Society Publishing

    Prof. Ivan Giorgio

  82. The influence of different geometries of matrix/scaffold on the remodeling process of a bone and bioresorbable material mixture with voids

    Article • Mathematics and Mechanics of Solids, December 2015, SAGE Publications

    Prof. Ivan Giorgio

  83. Modeling and designing micro- and nano-structured metamaterials: Towards the application of exotic behaviors

    Article • Mathematics and Mechanics of Solids, December 2015, SAGE Publications

    Prof. Ivan Giorgio

  84. Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices

    Article • International Journal of Engineering Science, December 2015, Elsevier

    Prof. Ivan Giorgio

  85. Pattern formation in the three-dimensional deformations of fibered sheets

    Article • Mechanics Research Communications, October 2015, Elsevier

    Prof. Ivan Giorgio

  86. A model for elastic flexoelectric materials including strain gradient effects

    Article • Mathematics and Mechanics of Solids, June 2015, SAGE Publications

    Prof. Ivan Giorgio

  87. Piezo-electromechanical smart materials with distributed arrays of piezoelectric transducers: Current and upcoming applications

    Article • International Journal of Applied Electromagnetics and Mechanics, June 2015, IOS Press

    Prof. Ivan Giorgio

  88. A micro-structural model for dissipation phenomena in the concrete

    Article • International Journal for Numerical and Analytical Methods in Geomechanics, May 2015, Wiley

    Prof. Ivan Giorgio

  89. A mathematical model for longitudinal wave propagation in a magnetoelastic hollow circular cylinder of anisotropic material under the influence of initial hydrostatic stress

    Article • Mathematics and Mechanics of Solids, May 2015, SAGE Publications

    Prof. Ivan Giorgio

  90. Continuum and discrete models for structures including (quasi-) inextensible elasticae with a view to the design and modeling of composite reinforcements

    Article • International Journal of Solids and Structures, May 2015, Elsevier

    Prof. Ivan Giorgio

  91. Euromech 563 Cisterna di Latina 17-21 March 2014 Generalized continua and their applications to the design of composites and metamaterials: A review of presentations and discussions

    Article • Mathematics and Mechanics of Solids, April 2015, SAGE Publications

    Prof. Ivan Giorgio

  92. Interfaces in micromorphic materials: Wave transmission and reflection with numerical simulations

    Article • Mathematics and Mechanics of Solids, February 2015, SAGE Publications

    Prof. Ivan Giorgio, Dr Arkadi Berezovski

  93. Elastic pantographic 2D lattices: a numerical analysis on the static response and wave propagation

    Article • Proceedings of the Estonian Academy of Sciences, January 2015, Estonian Academy Publishers

    Prof. Ivan Giorgio

  94. The influence of different loads on the remodeling process of a bone and bioresorbable material mixture with voids

    Article • Continuum Mechanics and Thermodynamics, December 2014, Springer Science + Business Media

    Prof. Ivan Giorgio

  95. Wave reflection at a free interface in an anisotropic pyroelectric medium with nonclassical thermoelasticity

    Article • Continuum Mechanics and Thermodynamics, December 2014, Springer Science + Business Media

    Prof. Ivan Giorgio

  96. A simple non-linear model for internal friction in modified concrete

    Article • International Journal of Engineering Science, July 2014, Elsevier

    Prof. Ivan Giorgio

  97. Dynamic problems for metamaterials: Review of existing models and ideas for further research

    Article • International Journal of Engineering Science, July 2014, Elsevier

    Prof. Ivan Giorgio

  98. The mathematical model of reflection and refraction of longitudinal waves in thermo-piezoelectric materials

    Article • Archive of Applied Mechanics, May 2014, Springer Science + Business Media

    Prof. Ivan Giorgio

  99. Modeling of the interaction between bone tissue and resorbable biomaterial as linear elastic materials with voids

    Article • Zeitschrift für angewandte Mathematik und Physik, February 2014, Springer Science + Business Media

    Prof. Ivan Giorgio

  100. A 2-D continuum model of a mixture of bone tissue and bio-resorbable material for simulating mass density redistribution under load slowly variable in time

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, August 2013, Wiley

    Prof. Ivan Giorgio

  101. Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials

    Article • Mathematics and Mechanics of Solids, March 2013, SAGE Publications

    Prof. Ivan Giorgio

  102. Propagation of linear compression waves through plane interfacial layers and mass adsorption in second gradient fluids

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, March 2013, Wiley

    Prof. Ivan Giorgio

  103. Buckling of an elastic hemispherical shell with an obstacle

    Article • Continuum Mechanics and Thermodynamics, October 2012, Springer Science + Business Media

    Prof. Ivan Giorgio

  104. A low-power circuit for piezoelectric vibration control by synchronized switching on voltage sources

    Article • Sensors and Actuators A Physical, June 2010, Elsevier

    Prof. Ivan Giorgio

  105. Multimode vibration control using several piezoelectric transducers shunted with a multiterminal network

    Article • Archive of Applied Mechanics, September 2008, Springer Science + Business Media

    Prof. Ivan Giorgio