All Stories

  1. 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

  2. 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

  3. 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

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

    Article • Mechanics Research Communications, September 2025, Elsevier

    Prof. Ivan Giorgio

  5. 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

  6. 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

  7. 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

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

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

    Prof. Ivan Giorgio

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

    Article • Materials & Design, January 2024, Elsevier

    Prof. Ivan Giorgio

  10. 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

  11. 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

  12. 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

  13. Wrinkling of twisted thin films

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

    Prof. Ivan Giorgio

  14. 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

  15. To Francesco dell’Isola

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

    Prof. Ivan Giorgio

  16. 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

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

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

    Prof. Ivan Giorgio

  18. 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

  19. 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

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

    Article • Biomimetics, May 2022, MDPI AG

    Prof. Ivan Giorgio

  21. A variational formulation for one-dimensional linear thermoviscoelasticity

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

    Prof. Ivan Giorgio

  22. 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

  23. 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

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

    Article • Mechanics of Materials, September 2021, Elsevier

    Prof. Ivan Giorgio

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

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

    Prof. Ivan Giorgio

  26. 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

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

    Article • Biomimetics, March 2021, MDPI AG

    Prof. Ivan Giorgio

  28. 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

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

    Article • Extreme Mechanics Letters, February 2021, Elsevier

    Prof. Ivan Giorgio

  30. 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

  31. 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

  32. 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

  33. 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

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

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

    Prof. Ivan Giorgio

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

    Article • Symmetry, December 2019, MDPI AG

    Prof. Ivan Giorgio

  36. 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

  37. 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

  38. 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

  39. 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

  40. Edge effects in Hypar nets

    Article • Comptes Rendus Mécanique, February 2019, Elsevier

    Prof. Ivan Giorgio

  41. 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

  42. Axisymmetric deformations of a 2nd grade elastic cylinder

    Article • Mechanics Research Communications, December 2018, Elsevier

    Prof. Ivan Giorgio

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

    Article • Robotics, September 2018, MDPI AG

    Prof. Ivan Giorgio

  44. 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

  45. 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

  46. 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

  47. 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

  48. 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

  49. Pantographic metamaterials show atypical Poynting effect reversal

    Article • Mechanics Research Communications, April 2018, Elsevier

    Prof. Ivan Giorgio

  50. Variational Principles in Numerical Practice

    Article • December 2017, Springer Science + Business Media

    Prof. Ivan Giorgio

  51. 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

  52. 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

  53. 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

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

    Article • Composites Part B Engineering, June 2017, Elsevier

    Prof. Ivan Giorgio

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

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

    Prof. Ivan Giorgio

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

    Article • Extreme Mechanics Letters, May 2017, Elsevier

    Prof. Ivan Giorgio

  57. 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

  58. 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

  59. 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

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

    Article • January 2017, Springer Science + Business Media

    Prof. Ivan Giorgio

  61. Dynamics of 1D nonlinear pantographic continua

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

    Prof. Ivan Giorgio

  62. 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

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

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

    Prof. Ivan Giorgio

  64. 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

  65. 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

  66. Buckling modes in pantographic lattices

    Article • Comptes Rendus Mécanique, July 2016, Elsevier

    Prof. Ivan Giorgio

  67. 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

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

    Article • Cement and Concrete Research, June 2016, Elsevier

    Prof. Ivan Giorgio

  69. 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

  70. 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

  71. 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

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

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

    Prof. Ivan Giorgio

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

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

    Prof. Ivan Giorgio

  74. 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

  75. 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

  76. 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

  77. 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

  78. 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

  79. 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

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

    Article • Mechanics Research Communications, October 2015, Elsevier

    Prof. Ivan Giorgio

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

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

    Prof. Ivan Giorgio

  82. 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

  83. 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

  84. 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

  85. 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

  86. 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

  87. 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

  88. 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

  89. 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

  90. 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

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

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

    Prof. Ivan Giorgio

  92. 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

  93. 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

  94. 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

  95. 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

  96. 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

  97. 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

  98. Buckling of an elastic hemispherical shell with an obstacle

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

    Prof. Ivan Giorgio

  99. 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

  100. 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