Search Results - "dell'Isola, Francesco"

A Two-Dimensional Gradient-Elasticity Theory for Woven Fabrics by dell’Isola, Francesco, Steigmann, David

“…A gradient elasticity theory is proposed for the mechanics of woven fabrics. This is motivated by a series of recent experiments in which strongly localized…”
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At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola by dell’Isola, Francesco, Andreaus, Ugo, Placidi, Luca

“…Gabrio Piola’s scientific papers have been underestimated in mathematical physics literature. Indeed, a careful reading of them proves that they are original,…”
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On the validation of homogenized modeling for bi-pantographic metamaterials via digital image correlation by Barchiesi, Emilio, dell’Isola, Francesco, Hild, François

“…The derivation by variational asymptotic homogenization of a 2D-continuum model describing large elastic planar deformations of a discrete bi-pantographic…”
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A Lagrangian Hencky-type non-linear model suitable for metamaterials design of shearable and extensible slender deformable bodies alternative to Timoshenko theory by Turco, Emilio, Barchiesi, Emilio, Giorgio, Ivan, dell’Isola, Francesco

“…Among the most studied models in mathematical physics, Timoshenko beam is outstanding for its importance in technological applications. Therefore it has been…”
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On the elastic wedge problem within simplified and incomplete strain gradient elasticity theories by Solyaev, Yury, Lurie, Sergey, Altenbach, Holm, dell’Isola, Francesco

“…In this paper, we investigate the behavior of the strain gradient elasticity solutions around the sharp edges of the body loaded by the concentrated loads. We…”
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Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching by Steigmann, David J., dell’Isola, Francesco

“…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…”
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Green’s functions and integral representation of generalized continua: the case of orthogonal pantographic lattices by Boutin, Claude, dell’Isola, Francesco

“…This paper shows how the classical representation techniques for the solution of elasticity problems, based on the Green’s functions, can be generalized to…”
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Principle of Virtual Work as Foundational Framework for Metamaterial Discovery and Rational Design by dell’Isola, Francesco, Misra, Anil

“…Novel theories are needed for the discovery of innovative and exotic metamaterial and for their rational design. The current practice of mechanical analyses…”
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How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert” by dell’Isola, Francesco, Seppecher, Pierre, Madeo, Angela

“…Navier–Cauchy format for Continuum Mechanics is based on the concept of contact interaction between sub-bodies of a given continuous body. In this paper, it is…”
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Identification of a geometrically nonlinear micromorphic continuum via granular micromechanics by Misra, Anil, Placidi, Luca, dell’Isola, Francesco, Barchiesi, Emilio

“…Describing the emerging macro-scale behavior by accounting for the micro-scale phenomena calls for microstructure-informed continuum models accounting properly…”
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Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity by Andreaus, Ugo, dell’Isola, Francesco, Giorgio, Ivan, Placidi, Luca, Lekszycki, Tomasz, Rizzi, Nicola Luigi

“…A two-dimensional solid consisting of a linear elastic isotropic material is considered in this paper. The strain energy is expressed as a function of the…”
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An orthotropic continuum model with substructure evolution for describing bone remodeling: an interpretation of the primary mechanism behind Wolff’s law by Giorgio, Ivan, dell’Isola, Francesco, Andreaus, Ugo, Misra, Anil

“…We propose a variational approach that employs a generalized principle of virtual work to estimate both the mechanical response and the changes in living bone…”
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Linear Pantographic Sheets: Existence and Uniqueness of Weak Solutions by Eremeyev, Victor A., dell’Isola, Francesco, Boutin, Claude, Steigmann, David

“…The well-posedness of the boundary value problems for second gradient elasticity has been studied under the assumption of strong ellipticity of the dependence…”
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Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives by dell’Isola, Francesco, Corte, Alessandro Della, Giorgio, Ivan

“…Since the first studies dedicated to the mechanics of deformable bodies (by Euler, D’Alembert, Lagrange) the principle of virtual work (or virtual velocities)…”
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On weak solutions of the boundary value problem within linear dilatational strain gradient elasticity for polyhedral Lipschitz domains by Eremeyev, Victor A., dell’Isola, Francesco

“…We provide the proof of an existence and uniqueness theorem for weak solutions of the equilibrium problem in linear dilatational strain gradient elasticity for…”
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Enhanced Piola–Hencky discrete models for pantographic sheets with pivots without deformation energy: Numerics and experiments by Turco, Emilio, Misra, Anil, Pawlikowski, Marek, dell’Isola, Francesco, Hild, François

“…The problem of the synthesis of second gradient (meta)materials, via architectured microstructures made of micro-lattices, has been solved (Alibert et al.,…”
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A beam model for duoskelion structures derived by asymptotic homogenization and its application to axial loading problems by Barchiesi, Emilio, dell’Isola, Francesco, Seppecher, Pierre, Turco, Emilio

“…Duoskelion structures have been recently introduced by Barchiesi et al. (2021) as a proof-of-concept motif for a new class of metamaterials. The properties of…”
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Modeling the onset of shear boundary layers in fibrous composite reinforcements by second-gradient theory by Ferretti, Manuel, Madeo, Angela, dell’Isola, Francesco, Boisse, Philippe

“…It has been known since the pioneering works by Piola, Cosserat, Mindlin, Toupin, Eringen, Green, Rivlin and Germain that many micro-structural effects in…”
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On nonlinear dilatational strain gradient elasticity by Eremeyev, Victor A., Cazzani, Antonio, dell’Isola, Francesco

“…We call nonlinear dilatational strain gradient elasticity the theory in which the specific class of dilatational second gradient continua is considered: those…”
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Irreducible representation of surface distributions and Piola transformation of external loads sustainable by third gradient continua by dell’Isola, Francesco, Fedele, Roberto

“…In this paper Piola transformations are found that relate the Eulerian and Lagrangian external loads which third gradient continua can sustain. As shown by…”
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