4 citations · 12 across the 8 of their papers we have counts for
8 papers
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…
Weak elastic energy of irregular curves
Domenico Mucci, Alberto Saracco
A weak notion of elastic energy for (not necessarily regular) rectifiable curves in any space dimension is proposed. Our -energy is defined through a relaxation process, where a…
The geodesic total curvature of spherical curves
Domenico Mucci, Alberto Saracco
The geodesic total curvature of rectifiable spherical curves is analyzed. We extend to the case of high dimension spheres the explicit formula that holds true for curves supported…
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…
Weak curvatures of irregular curves in high dimension Euclidean spaces
Domenico Mucci, Alberto Saracco
We deal with a robust notion of weak normals for a wide class of irregular curves defined in Euclidean spaces of high dimension. Concerning polygonal curves, the discrete normals a…
The total intrinsic curvature of curves in Riemannian surfaces
Domenico Mucci, Alberto Saracco
We deal with irregular curves contained in smooth, closed, and compact surfaces. For curves with finite total intrinsic curvature, a weak notion of parallel transport of tangent ve…
The weak Frenet frame of non-smooth curves with finite total curvature and absolute torsion
Domenico Mucci, Alberto Saracco
We deal with a notion of weak binormal and weak principal normal for non-smooth curves of the Euclidean space with finite total curvature and total absolute torsion. By means of pi…
Bounded variation and relaxed curvature of surfaces
Domenico Mucci, Alberto Saracco
We consider a relaxed notion of energy of non-parametric codimension one surfaces that takes account of area, mean curvature, and Gauss curvature. It is given by the best value obt…