Beyond hyperelasticity: a virgin land of extreme materials

ERC (European Research Council)HORIZON-ERCID: 101052956
EC Contribution
€24,761
Consortium Size
1 orgs
Start Year
2022
Summary

Beyond bifurcation, beyond instability, beyond even hyper-elasticity (!) there is an unexplored world of superior materials, capable of introducing a high-tech revolution and even influencing our daily lives. Surpassing bifurcation and instability yields unprecedented deformational capabilities and going beyond the concept of the elastic potential leads to materials capable of absorbing energy from the environment in a closed cycle of deformation and releasing it upon request. The road to this new paradigm is the fusion of the concepts of structural mechanics with the principles of solid mechanics, both brought to the highly nonlinear realm of extreme deformation. This opens virgin territory, left unexplored since the 100-years-old definition of the elastic potential, which has been treated until now as inviolable dogma. But structural engineers know structures capable of harvesting energy from the wind or becoming dynamically unstable when subject to follower loads, so that the implantation of these structural concepts in microscale form into a macroscopic solid leads to the creation of materials surpassing the concept of elastic potential and opening new horizons in the design of new materials. Our recent work exhibited that a purely elastic and conservative system can experience flutter instability. This strongly implies that an elastic solid can be devised that will exhibit this instability and violates hyper-elasticity. Implementing these concepts at the microscale (with elements generating microscopic interactions to suck/deliver energy from/to external sources) leads to architected materials which may harvest energy, or release it to move a mechanism, or propagate a signal with amplification, or suffer a Hopf bifurcation and self-oscillate at designed frequency. This is an unexplored field where we expect applications in metamaterials, locomotion devices, wearable technologies, sensors, or interacting devices for use in everyday life and medical applications.

Consortium (1)

Project Results (35)

Source: CORDIS, the EU research results database.

Publications (34)
A nonlinear model of shearable elastic rod from an origami-like microstructure displaying folding and faulting
Journal of the Mechanics and Physics of Solids· 2025DOI
M. Paradiso, F. Dal Corso, D. Bigoni
A unified HTC multiphase model of continuum mechanics
Journal of Computational Physics· 2025DOI
Davide Ferrari, Ilya Peshkov, Evgeniy Romenski, Michael Dumbser
An Exactly Curl-Free Finite-Volume/Finite-Difference Scheme for a Hyperbolic Compressible Isentropic Two-Phase Model
Journal of Scientific Computing· 2025DOI
Laura Río-Martín, Firas Dhaouadi, Michael Dumbser
Material instability and subsequent restabilization from homogenization of periodic elastic lattices
Journal of the Mechanics and Physics of Solids· 2025DOI
Davide Bigoni, Andrea Piccolroaz
3D printed architected lattice structures by material jetting
Materials Today· 2024DOI
Samantha Mora, Nicola M. Pugno, Diego Misseroni
An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements
Journal of Computational Physics· 2024DOI
E. Zampa, M. Dumbser
Bifurcations of an elastic disc coated with an elastic inextensible rod
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences· 2024DOI
M. Gaibotti, S. G. Mogilevskaya, A. Piccolroaz, D. Bigoni
Dynamics of elastic lattices with sliding constraints
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences· 2024DOI
L. Cabras, D. Bigoni, A. Piccolroaz
Effects of a nonlocal microstructure on peeling of thin films
Meccanica· 2024DOI
Riccardo Cavuoto, Luca Deseri, Massimiliano Fraldi
Effects of different loading on the bifurcation of annular elastic rods: Theory vs. experiments
International Journal of Non-Linear Mechanics· 2024DOI
M. Gaibotti, D. Bigoni, A. Cutolo, M. Fraldi, A. Piccolroaz
Effects of prestress in the coating of an elastic disk
International Journal of Solids and Structures· 2024DOI
M. Gaibotti, S.G. Mogilevskaya, A. Piccolroaz, D. Bigoni
Elastic solids under frictionless rigid contact and configurational force
Journal of the Mechanics and Physics of Solids· 2024DOI
Francesco Dal Corso, Marco Amato, Davide Bigoni
High-order discontinuous Galerkin schemes with subcell finite volume limiter and adaptive mesh refinement for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations
Physical Review D· 2024DOI
Michael Dumbser, Olindo Zanotti, Ilya Peshkov
Homogenization of elastic grids containing rigid elements
Mechanics of Materials· 2024DOI
Luca Viviani, Davide Bigoni, Andrea Piccolroaz
Necking of thin-walled cylinders via bifurcation of incompressible nonlinear elastic solids
Soft Matter· 2024DOI
Roberta Springhetti, Gabriel Rossetto, Davide Bigoni
Phase-field modelling of failure in ceramics with multiscale porosity
Materials & Design· 2024DOI
R. Cavuoto, P. Lenarda, A. Tampieri, D. Bigoni, M. Paggi
The elastica sling
European Journal of Mechanics - A/Solids· 2024DOI
A. Cazzolli, F. Dal Corso
The interplay between membrane viscosity and ligand-binding receptor kinetics in lipid bilayers
Meccanica· 2024DOI
Chiara Bernard, Angelo Rosario Carotenuto, Nicola Maria Pugno, Luca Deseri, Massimiliano Fraldi
Well-balanced High-order Finite Difference Weighted Essentially Nonoscillatory Schemes for a First-order Z4 Formulation of the Einstein Field Equations
The Astrophysical Journal Supplement Series· 2024DOI
Dinshaw Balsara, Deepak Bhoriya, Olindo Zanotti, Michael Dumbser
Bimodal buckling governs human fingers’ luxation
Proceedings of the National Academy of Sciences· 2023DOI
Massimiliano Fraldi, Stefania Palumbo, Arsenio Cutolo, Angelo Rosario Carotenuto, Davide Bigoni
Distal and non-symmetrical crack nucleation in delamination of plates via dimensionally-reduced peridynamics
Journal of the Mechanics and Physics of Solids· 2023DOI
R. Cavuoto, A. Cutolo, K. Dayal, L. Deseri, M. Fraldi
Double restabilization and design of force–displacement response of the extensible elastica with movable constraints
European Journal of Mechanics - A/Solids· 2023DOI
P. Koutsogiannakis, D. Bigoni, F. Dal Corso
Failure through crack propagation in components with holes and notches: An experimental assessment of the phase field model
International Journal of Solids and Structures· 2023DOI
R. Cavuoto, P. Lenarda, D. Misseroni, M. Paggi, D. Bigoni
Flutter instability in solids and structures, with a view on biomechanics and metamaterials
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences· 2023DOI
Davide Bigoni, Francesco Dal Corso, Oleg N. Kirillov, Diego Misseroni, Giovanni Noselli, Andrea Piccolroaz
Fusion of two stable elastic structures resulting in an unstable system
Journal of the Mechanics and Physics of Solids· 2023DOI
Marco Rossi, Andrea Piccolroaz, Davide Bigoni
Non-smooth dynamics of buckling based metainterfaces: Rocking-like motion and bifurcations
International Journal of Mechanical Sciences· 2023DOI
N. Hima, F. D’Annibale, F. Dal Corso
Stabilization against gravity and self-tuning of an elastic variable-length rod through an oscillating sliding sleeve
Journal of the Mechanics and Physics of Solids· 2023DOI
P. Koutsogiannakis, D. Misseroni, D. Bigoni, F. Dal Corso
Toward new scaling laws for wrinkling in biologically relevant fiber-reinforced bilayers
Journal of Applied Physics· 2023DOI
A. Mirandola, A. Cutolo, A. R. Carotenuto, N. Nguyen, L. Pocivavsek, M. Fraldi, L. Deseri
Towards predicting shear-banding instabilities in lipid monolayers
Journal of the Mechanical Behavior of Biomedical Materials· 2023DOI
A.R. Carotenuto, A. Gaffney, N. Nguyen, K.Y.C. Lee, L. Pocivavsek, M. Fraldi, L. Deseri
Buckling of Thin-Walled Cylinders from Three Dimensional Nonlinear Elasticity
Journal of Elasticity· 2022DOI
Springhetti, Roberta; Rossetto, Gabriel; Bigoni, Davide
Buckling versus unilateral constraint for a multistable metamaterial element
Philosophical Transactions of the Royal Society A· 2022DOI
Hima, N; Bigoni, D; Dal Corso, F
Interactions between multiple rigid lamellae in a ductile metal matrix: Shear band magnification and attenuation in localization patterns
Journal of the Mechanics and Physics of Solids· 2022DOI
Diana Giarola, Francesco Dal Corso, Domenico Capuani, Davide Bigoni
Tensile material instabilities in elastic beam lattices lead to a bounded stability domain
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences· 2022DOI
Giovanni Bordiga, Davide Bigoni, Andrea Piccolroaz
Triclinic Metamaterials by Tristable Origami with Reprogrammable Frustration
Advanced Materials· 2022DOI
Ke Liu, Phanisri P. Pratapa, Diego Misseroni, Tomohiro Tachi, Glaucio H. Paulino
Other Results (1)
Periodic Reporting for period 1 - Beyond (Beyond hyperelasticity: a virgin land of extreme materials)