Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Domenico Mucci"'
Autor:
Paolo Maria Mariano, Domenico Mucci
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 6, Pp 1-21 (2023)
We consider elastic thin shells without through-the-thickness shear and depict them as Gauss graphs of parametric surfaces. (We use the term shells to include plates and thin films therein.) We consider an energy depending on the first derivative of
Externí odkaz:
https://doaj.org/article/2b176d677fad4b53afed91d183923763
Autor:
Paolo Maria Mariano, Domenico Mucci
Publikováno v:
Archive for Rational Mechanics and Analysis. 247
To account for material slips at microscopic scale, we take deformation mappings as SBV functions $$\varphi $$ φ , which are orientation-preserving outside a jump set taken to be two-dimensional and rectifiable. For their distributional derivative $
Autor:
Domenico Mucci, Lorenzo Nicolodi
Publikováno v:
Acta Applicandae Mathematicae. 182
Autor:
Alberto Saracco, Domenico Mucci
Publikováno v:
Annals of Global Analysis and Geometry. 60:181-216
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 are built up through a Gram–Schmidt procedure applied to consecutive
Autor:
Domenico Mucci
Publikováno v:
The Journal of Geometric Analysis. 31:8460-8519
We analyze the lower semicontinuous envelope of the curvature functional of Cartesian surfaces in codimension one. To this aim, following the approach by Anzellotti–Serapioni–Tamanini, we study the class of currents that naturally arise as weak l
Autor:
Alberto Saracco, Domenico Mucci
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 199:2459-2488
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 piecewise linear methods, we first introduce the analogous notation for
Autor:
Alberto Saracco, Domenico Mucci
Publikováno v:
Milan Journal of Mathematics. 88:191-223
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 obtained by approximation with inscribed polyhedral surfaces. The BV and
Publikováno v:
Journal of Nonlinear Science. 32
Energy minimality selects among possible configurations of a continuous body with and without cracks those compatible with assigned boundary conditions of Dirichlet-type. Crack paths are described in terms of curvature varifolds so that we consider b
Autor:
Domenico Mucci
Publikováno v:
Nonlinear Analysis. 221:112943
Autor:
Alberto Saracco, Domenico Mucci
Publikováno v:
Rendiconti del Circolo Matematico di Palermo Series 2. 70:1137-1138