Davide Bigoni
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View article: The circular disc made of linear elastic incompressible material and the 'bathyscaphe lesson'
The circular disc made of linear elastic incompressible material and the 'bathyscaphe lesson' Open
A linear elastic circular disc is analyzed under a self-equilibrated system of loads applied along its boundary. A distinctive feature of the investigation, conducted using complex variable analysis, is the assumption that the material is …
View article: Material instability and subsequent restabilization from homogenization of periodic elastic lattices
Material instability and subsequent restabilization from homogenization of periodic elastic lattices Open
Two classes of non-linear elastic materials are derived via two-dimensional homogenization. These materials are equivalent to a periodic grid of axially-deformable and axially-preloaded structural elements, subject to incremental deformati…
View article: Effects of different loading on the bifurcation of annular elastic rods: Theory vs. experiments
Effects of different loading on the bifurcation of annular elastic rods: Theory vs. experiments Open
The bifurcation problem of a circular Euler-Bernoulli rod subject to a\nuniform radial force distribution is investigated under three distinct loading\nconditions: (i.) hydrostatic pressure, (ii.) centrally-directed, and (iii.)\ndead load.…
View article: Elastic solids under frictionless rigid contact and configurational force
Elastic solids under frictionless rigid contact and configurational force Open
A homogeneous elastic solid, bounded by a flat surface in its unstressed configuration, undergoes a finite strain when in frictionless contact against a rigid and rectilinear constraint, ending with a rounded or sharp corner, in a two-dime…
View article: Effects of prestress in the coating of an elastic disk
Effects of prestress in the coating of an elastic disk Open
An elastic disk is coated with an elastic rod, uniformly prestressed with a tensile or compressive axial force. The prestress state is assumed to be induced by three different models of external radial load or by ‘shrinkfit’ forcing the co…
View article: Phase-field modelling of failure in ceramics with multiscale porosity
Phase-field modelling of failure in ceramics with multiscale porosity Open
Many stiff biological materials exhibiting outstanding compressive strength/weight ratio are characterized by high porosity, spanning different size-scales, typical examples being bone and wood. A successful bio-mimicking of these material…
View article: Homogenization of elastic grids containing rigid elements
Homogenization of elastic grids containing rigid elements Open
The inclusion of rigid elements into elastic composites may lead to superior mechanical properties for the equivalent elastic continuum, such as, for instance, extreme auxeticity. To allow full exploitation of these properties, a tool for …
View article: Dynamics of elastic lattices with sliding constraints
Dynamics of elastic lattices with sliding constraints Open
This study investigates the impact of sliders -- constraints acting on elastic rods allowing for a transverse displacement jump while maintaining axial and rotational displacement continuity -- on the dynamics of a periodic elastic grid, i…
View article: Necking of thin-walled cylinders <i>via</i> bifurcation of incompressible nonlinear elastic solids
Necking of thin-walled cylinders <i>via</i> bifurcation of incompressible nonlinear elastic solids Open
Soft polypropylene thin-walled tubes (right) after tensile tests (center) showing multiple necking, modelled as a bifurcation for J2-deformation theory of plasticity material (bifurcation modes on the left) by R. Springhetti, M. Scandella,…
View article: Bifurcations of an elastic disc coated with an elastic inextensible rod
Bifurcations of an elastic disc coated with an elastic inextensible rod Open
An analytical solution is derived for the bifurcations of an elastic disc that is constrained on the boundary with an isoperimetric Cosserat coating. The latter is treated as an elastic circular rod, either perfectly or partially bonded (w…
View article: Dynamics of elastic lattices with sliding constraints
Dynamics of elastic lattices with sliding constraints Open
This study investigates the impact of sliders – constraints acting on elastic rods allowing for a transverse displacement jump while maintaining axial and rotational displacement continuity – on the dynamics of a periodic elastic grid, inc…
View article: Flutter instability in solids and structures, with a view on biomechanics and metamaterials
Flutter instability in solids and structures, with a view on biomechanics and metamaterials Open
The phenomenon of oscillatory instability called ‘flutter’ was observed in aeroelasticity and rotor dynamics about a century ago. Driven by a series of applications involving non-conservative elasticity theory at different physical scales,…
View article: Flutter instability in elastic structures
Flutter instability in elastic structures Open
Flutter instability caused by follower loads has become a reality after the invention of the "freely-rotating wheel device" by Bigoni and Noselli, of the "flutter machine", and of the device to generate Reut-type loads. Further research ha…
View article: Bimodal buckling governs human fingers’ luxation
Bimodal buckling governs human fingers’ luxation Open
Equilibrium bifurcation in natural systems can sometimes be explained as a route to stress shielding for preventing failure. Although compressive buckling has been known for a long time, its less-intuitive tensile counterpart was only rece…
View article: Stabilization against gravity and self-tuning of an elastic variable-length rod through an oscillating sliding sleeve
Stabilization against gravity and self-tuning of an elastic variable-length rod through an oscillating sliding sleeve Open
An elastic rod, straight in its undeformed state, has a mass attached at one end and a variable length, due to a constraint at the other end by a frictionless sliding sleeve. The constraint is arranged with the sliding direction parallel t…
View article: Phase-field modelling of failure in ceramics with multiscale porosity
Phase-field modelling of failure in ceramics with multiscale porosity Open
Many stiff biological materials exhibiting outstanding compressive strength/weight ratio are characterized by high porosity, spanning different size-scales, typical examples being bone and wood. A successful bio-mimicking of these material…
View article: Fusion of two stable elastic structures resulting in an unstable system
Fusion of two stable elastic structures resulting in an unstable system Open
It is shown that a compound elastic structure, which displays a dynamic instability, may be designed as the union (or 'fusion') of two structures which are stable when separately analyzed. The compound elastic structure has two degrees of …
View article: Configurational Forces in Penetration Processes
Configurational Forces in Penetration Processes Open
With a loose reference to problems of penetration in biomechanics (for instance, a nanoparticle penetrating through a cell's membrane or a cell sucked with a pipette), the role of configurational forces is investigated during the process i…
View article: Buckling of thin-walled cylinders from three dimensional nonlinear elasticity
Buckling of thin-walled cylinders from three dimensional nonlinear elasticity Open
The famous bifurcation analysis performed by Flügge on compressed thin-walled cylinders is based on a series of simplifying assumptions, which allow to obtain the bifurcation landscape, together with explicit expressions for limit behaviou…
View article: Buckling versus unilateral constraint for a multistable metamaterial element
Buckling versus unilateral constraint for a multistable metamaterial element Open
A structural element is designed and investigated, forming the basis for the development of an elastic multistable metamaterial. The leitmotif of the structural design is the implementation of a strut characterized by a bifurcation occurri…