Dynamical analysis of homogenized second gradient anisotropic media for textile composite structures and analysis of size effects
Sign Up to like & getrecommendations! Published in 2017 at "Composite Structures"
DOI: 10.1016/j.compstruct.2016.10.068
Abstract: Abstract In order to predict the dispersion relation of 3D composite structures in the low frequency range, we construct effective first and second order grade continuum models. The effective properties of textile composites are obtained… read more here.
Keywords: second order; second gradient; size; composite structures ... See more keywords
Second-gradient continua: From Lagrangian to Eulerian and back
Sign Up to like & getrecommendations! Published in 2022 at "Mathematics and Mechanics of Solids"
DOI: 10.1177/10812865221078822
Abstract: In this paper, we represent second-gradient internal work functionals in Lagrangian (referential) and Eulerian (spatial) descriptions, and we deduce the corresponding expressions for the Piola transformations of stress and double-stress tensors and of external forces… read more here.
Keywords: lagrangian eulerian; continua lagrangian; eulerian back; gradient continua ... See more keywords
Unusual deformation patterns in a second-gradient cylindrical lattice shell: Numerical experiments
Sign Up to like & getrecommendations! Published in 2022 at "Mathematics and Mechanics of Solids"
DOI: 10.1177/10812865221101820
Abstract: Numerical experiments reveal unusual deformation patterns in a cylindrical lattice shell, modeled as a curved two-dimensional second-gradient elastic surface. read more here.
Keywords: deformation patterns; lattice shell; unusual deformation; numerical experiments ... See more keywords
Second gradient continuum model for anisotropic elastic and piezoelectric structures calibrated based on phonon dispersion relations
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics and Mechanics of Solids"
DOI: 10.1177/10812865231160733
Abstract: In this paper, we present a variant of the second gradient continuum model that allows description of the spatial dispersion effects of high-frequency waves in anisotropic crystals. The considered model takes into account the strain… read more here.
Keywords: dispersion; continuum model; second gradient; dispersion relations ... See more keywords
Second Gradient Electromagnetostatics: Electric Point Charge, Electrostatic and Magnetostatic Dipoles
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DOI: 10.3390/sym12071104
Abstract: In this paper, we study the theory of second gradient electromagnetostatics as the static version of second gradient electrodynamics. The theory of second gradient electrodynamics is a linear generalization of higher order of classical Maxwell… read more here.
Keywords: second gradient; electrodynamics; gradient electromagnetostatics; point ... See more keywords
A Non-Second-Gradient Model for Nonlinear Electroelastic Bodies with Fibre Stiffness
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15051065
Abstract: The study of the mechanical behaviour of fibre-reinforced electroactive polymers (EAPs) with bending stiffness is beneficial in engineering for mechanical design and problem solving. However, constitutive models of fibre-reinforced EAPs with fibre bending stiffness do… read more here.
Keywords: fibre reinforced; bending stiffness; second gradient; model ... See more keywords