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A review of size-dependent continuum mechanics models for micro-and nano-structures
Recently, the mechanical behavior of micro-/nano-structures has sparked an ongoing
debate, which leads to a fundamental question: what steps can be taken to investigate the …
debate, which leads to a fundamental question: what steps can be taken to investigate the …
Dynamic problems for metamaterials: review of existing models and ideas for further research
D Del Vescovo, I Giorgio - International Journal of Engineering Science, 2014 - Elsevier
Metamaterials are materials especially engineered to have a peculiar physical behaviour, to
be exploited for some well-specified technological application. In this context we focus on …
be exploited for some well-specified technological application. In this context we focus on …
At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: an underestimated and still topical contribution of Gabrio …
Gabrio Piola's scientific papers have been underestimated in mathematical physics
literature. Indeed, a careful reading of them proves that they are original, deep and far …
literature. Indeed, a careful reading of them proves that they are original, deep and far …
Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models
Hencky (Über die angenäherte Lösung von Stabilitätsproblemen im Raum mittels der
elastischen Gelenkkette. Ph. D. thesis, Engelmann, 1921) proposed a discrete model for …
elastischen Gelenkkette. Ph. D. thesis, Engelmann, 1921) proposed a discrete model for …
Isogeometric analysis of plane-curved beams
A curved beam element based on the Timoshenko model and non-uniform rational B-
splines (NURBS) interpolation both for geometry and displacements is presented. Such an …
splines (NURBS) interpolation both for geometry and displacements is presented. Such an …
On effective properties of materials at the nano-and microscales considering surface effects
VA Eremeyev - Acta Mechanica, 2016 - Springer
In the last years, the rapid increase in the technical capability to control and design materials
at the nanoscale has pushed toward an intensive exploitation of new possibilities …
at the nanoscale has pushed toward an intensive exploitation of new possibilities …
Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives
Since the first studies dedicated to the mechanics of deformable bodies (by Euler,
D'Alembert, Lagrange) the principle of virtual work (or virtual velocities) has been used to …
D'Alembert, Lagrange) the principle of virtual work (or virtual velocities) has been used to …
Linear pantographic sheets: asymptotic micro-macro models identification
In this paper we consider linear pantographic sheets, which in their natural configuration are
constituted by two orthogonal arrays of straight fibers interconnected by internal pivots. We …
constituted by two orthogonal arrays of straight fibers interconnected by internal pivots. We …
Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids
In this paper a stationary action principle is proved to hold for capillary fluids, ie fluids for
which the deformation energy has the form suggested, starting from molecular arguments …
which the deformation energy has the form suggested, starting from molecular arguments …
Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching
DJ Steigmann, F Dell'Isola - Acta Mechanica Sinica, 2015 - Springer
A model for the mechanics of woven fabrics is developed in the framework of two-
dimensional elastic surface theory. Thickness effects are modeled indirectly in terms of …
dimensional elastic surface theory. Thickness effects are modeled indirectly in terms of …