52 citations · 103 across the 11 of their papers we have counts for
11 papers
On the effects of suitably designed space microstructures in the propagation of waves in time modulated composites
Ornella Mattei, Vincenzo Gulizzi
The amplitude of a pulse that propagates in a homogeneous material whose properties are instantaneously changed periodically in time will undergo an exponential increase, due to th…
Limit analysis of strut nets
Ada Amendola, Antonio Fortunato, Fernando Fraternali +3
Truss structures composed of members that work exclusively in tension or in compression appear in several problems of science and engineering, e.g., in the study of the resisting m…
Determining the volume fraction in 2-phase composites and bodies using time varying applied fields
Ornella Mattei, Graeme W. Milton, Mihai Putinar
A body containing two phases, which may form a periodic composite with microstructure much smaller that the body, or which may have structure on a length scale comparable to th…
The obstacle problem in masonry structures and cable nets
Ada Amendola, Ornella Mattei, Graeme W. Milton +1
We consider the problem of finding a net that supports prescribed forces applied at prescribed points, yet avoids certain obstacles, with all the elements of the net under compress…
Explicit analytic solution for the plane elastostatic problem with a rigid inclusion of arbitrary shape subject to arbitrary far-field loadings
Ornella Mattei, Mikyoung Lim
We provide an analytical solution for the elastic fields in a two-dimensional unbounded isotropic body with a rigid inclusion. Our analysis is based on the boundary integral formul…
An extremal problem arising in the dynamics of two-phase materials that directly reveals information about the internal geometry
Ornella Mattei, Graeme W. Milton, Mihai Putinar
In two phase materials, each phase having a non-local response in time, it has been found that for some driving fields the response somehow untangles at specific times, and allows…
On the forces that cable webs under tension can support and how to design cable webs to channel stresses
Guy Bouchitté, Ornella Mattei, Graeme W. Milton +1
In many applications of Structural Engineering the following question arises: given a set of forces applied at prescribed points $\ma…
Field patterns: a new type of wave with infinitely degenerate band structure
Ornella Mattei, Graeme W. Milton
Field pattern materials (FP-materials) are space-time composites with PT-symmetry in which the one-dimensional- spatial distribution of the constituents changes in time in such a s…
Field patterns without blow up
Ornella Mattei, Graeme W. Milton
Field patterns, first proposed by the authors in [Milton, Mattei. Proc R Soc A. 2017], are orderly patterns of characteristic lines that arise in specific space-time microstructure…
Field Patterns: A New Mathematical Object
Graeme W. Milton, Ornella Mattei
Field patterns occur in space-time microstructures such that a disturbance propagating along a characteristic line does not evolve into a cascade of disturbances, but rather concen…
Bounds for the response of viscoelastic composites under antiplane loadings in the time domain
Ornella Mattei, Graeme W. Milton
To derive bounds on the strain and stress response of a two-component composite material with viscoelastic phases, we revisit the so-called analytic method (Bergman 1978), which al…