15 citations · 39 across the 15 of their papers we have counts for
16 papers
Spectra and pseudospectra in the evaluation of material stability in phase field schemes
Michele Benzi, Daniele La Pegna, Paolo Maria Mariano
We consider the dynamics of bodies with "active" microstructure described by vector-valued phase fields. For waves with time-varying amplitude, the associated evolution equation in…
Continuum Kinematics with Incompatible-Compatible Decomposition
Vladimir Goldshtein, Paolo Maria Mariano, Domenico Mucci +1
Abstract. We present a framework for the kinematics of a material body undergoing anelastic deformation. For such processes, the material structure of the body, as reflected by the…
Crack occurrence in bodies with gradient polyconvex energies
Martin Kružík, Paolo Maria Mariano, Domenico Mucci
Energy minimality selects among possible configurations of a continuous body with and without cracks those compatible with assigned boundary conditions of Dirichlet-type. Crack pat…
Existence results in the linear dynamics of quasicrystals with phason diffusion and non-linear gyroscopic effects
Luca Bisconti, Paolo Maria Mariano
Quasicrystals are characterized by quasi-periodic arrangements of atoms. The description of their mechanics involves deformation and a (so called phason) vector field accounting at…
Physical significance of the curvature varifold-based description of crack nucleation
Paolo Maria Mariano
The nucleation and/or growth of cracks in elastic-brittle solids has been recently described in [14] in terms of a special class of measures and with a variational technique requir…
Complex bodies with memory: linearized setting
Paolo Maria Mariano, Paolo Paoletti
The mechanics of complex bodies with memory effects is discussed in linearized setting. The attention is focused on the characterization of free energies in terms of minimum work a…