@article {2012,
	title = {Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density},
	number = {arXiv:0901.4041;},
	year = {2012},
	note = {21 pages},
	publisher = {Elsevier},
	abstract = {<p>The asymptotic behaviour of the equilibrium configurations of a thin elastic plate is studied, as the thickness $h$ of the plate goes to zero. More precisely, it is shown that critical points of the nonlinear elastic functional $\mathcal E^h$, whose energies (per unit thickness) are bounded by $Ch^4$, converge to critical points of the $\Gamma$-limit of $h^{-4}\mathcal E^h$. This is proved under the physical assumption that the energy density $W(F)$ blows up as $\det F\to0$.</p>},
	doi = {10.1016/j.jde.2011.09.009},
	url = {http://hdl.handle.net/1963/3466},
	author = {Maria Giovanna Mora and Lucia Scardia}
}
@article {2010,
	title = {Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density},
	number = {SISSA;67/2010/M},
	year = {2010},
	abstract = {The subject of this paper is the study of the asymptotic behaviour of the equilibrium configurations of a nonlinearly elastic thin rod, as the diameter of the cross-section tends to zero. Convergence results are established assuming physical growth conditions for the elastic energy density and suitable scalings of the applied loads, that correspond at the limit to different rod models: the constrained linear theory, the analogous of von K{\'a}rm{\'a}n plate theory for rods, and the linear theory.},
	url = {http://hdl.handle.net/1963/4086},
	author = {Elisa Davoli and Maria Giovanna Mora}
}
@article {2008,
	title = {Convergence of equilibria of three-dimensional thin elastic beams},
	journal = {Proc. Roy. Soc. Edinburgh Sect. A 138 (2008) 873-896},
	number = {SISSA;69/2006/M},
	year = {2008},
	abstract = {A convergence result is proved for the equilibrium configurations of a three-dimensional thin elastic beam, as the diameter $h$ of the cross-section tends to zero. More precisely, we show that stationary points of the nonlinear elastic functional $E^h$, whose energies (per unit cross-section) are bounded by $Ch^2$, converge to stationary points of the $\\\\varGamma$-limit of $E^h/h^2$. This corresponds to a nonlinear one-dimensional model for inextensible rods, describing bending and torsion effects. The proof is based on the rigidity estimate for low-energy deformations by Friesecke, James and M{\"u}ller and on a compensated compactness argument in a singular geometry. In addition, possible concentration effects of the strain are controlled by a careful truncation argument.},
	doi = {10.1017/S0308210506001120},
	url = {http://hdl.handle.net/1963/1896},
	author = {Maria Giovanna Mora and Stefan M{\"u}ller}
}
@article {2007,
	title = {Convergence of equilibria of planar thin elastic beams},
	journal = {Indiana Univ. Math. J. 56 (2007) 2413-2438},
	number = {SISSA;23/2006/M},
	year = {2007},
	abstract = {We consider a thin elastic strip of thickness h and we show that stationary points of the nonlinear elastic energy (per unit height) whose energy is of order h^2 converge to stationary points of the Euler-Bernoulli functional. The proof uses the rigidity estimate for low-energy deformations by Friesecke, James, and Mueller (Comm. Pure Appl. Math. 2002), and a compensated compactness argument in a singular geometry. In addition, possible concentration effects are ruled out by a careful truncation argument.},
	doi = {10.1512/iumj.2007.56.3023},
	url = {http://hdl.handle.net/1963/1830},
	author = {Maria Giovanna Mora and Stefan M{\"u}ller and Maximilian G. Schultz}
}
@article {2002,
	title = {The Calibration Method for Free-Discontinuity Problems on Vector-Valued Maps},
	journal = {J. Convex Anal. 9 (2002) 1-29},
	number = {SISSA;61/2001/M},
	year = {2002},
	publisher = {Heldermann Verlag},
	abstract = {The calibration method is a classical minimality criterion, which has been recently adapted to functionals with free discontinuities by Alberti, Bouchitt{\'e}, Dal Maso. In this paper we present a further generalization of this theory to functionals defined on vector-valued maps.},
	url = {http://hdl.handle.net/1963/3049},
	author = {Maria Giovanna Mora}
}
