Results 11 to 20 of about 19,698 (269)
Wedge and Twist Disclinations in Second Strain Gradient Elasticity
International Journal of Solids and Structures, 2007 AbstractThe aim of this paper is to study disclinations in the framework of a second strain gradient elasticity theory. This second strain gradient elasticity has been proposed based on the first and second gradients of the strain tensor by Lazar et al. [Lazar, M., Maugin, G.A., Aifantis, E.C., 2006.
S. Deng, J. Liu, N. Liang
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International Journal of Solids and Structures, 2013 This paper is the sequel of a companion Part I paper devoted to the constitutive equations and to the quasi-static behavior of a second strain gradient material model with second velocity gradient inertia.
C. Polizzotto
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International Journal of Solids and Structures, 2013 A multi-cell homogenization procedure with four geometrically different groups of cell elements (respectively for the bulk, the boundary surface, the edge lines and the corner points of a body) is envisioned, which is able not only to extract the ...
C. Polizzotto
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Gradient elasticity solutions of 2D nano-beams
Applications in Engineering Science, 2023 In this study, the exact analytical solutions of a two-dimensional linear homogeneous isotropic nano-beam in gradient elasticity are studied. Four different types of two-dimensional cantilever beams and related boundary conditions are considered.
Teoman Özer
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On nonlinear dilatational strain gradient elasticity [PDF]
Continuum Mechanics and Thermodynamics, 2021 We call nonlinear dilatational strain gradient elasticity the theory in which the specific class of dilatational second gradient continua is considered: those whose deformation energy depends, in an objective way, on the gradient of placement and on the ...
V. Eremeyev, A. Cazzani, F. dell’Isola
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Form II of Mindlin's second strain gradient theory of elasticity with a simplification: For materials and structures from nano- to macro-scales [PDF]
European Journal of Mechanics - A/Solids, 2018 The fundamental equations for Form II of Mindlin's second strain gradient elasticity theory for isotropic materials are first derived. A corresponding simplified formulation is then proposed, with six and two higher-order material parameters for the ...
S. Khakalo, J. Niiranen
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Transverse wave propagation in viscoelastic single-walled carbon nanotubes with surface effect based on nonlocal second-order strain gradient elasticity theory [PDF]
Microsystem Technologies, 2020 Nowadays, the viscoelastic carbon nanotubes (CNTs) have been used as one of the most promising candidates for nanodevices (or nanoelectronics) and super-strong reinforcement fibers in polymer nanocomposites. In recent years there have been many papers that considered the effects of material length scales in the investigations of the material constants ...
Huili Guo, F. Shang, Chenlin Li
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A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method [PDF]
Mathematics and mechanics of solids, 2022 In elasticity, microstructure-related deviations may be modeled by strain gradient elasticity. For so-called metamaterials, different implementations are possible for solving strain gradient elasticity problems numerically. Analytical solutions of simple
Navid Shekarchizadeh +2 more
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Nonlinear wave propagation in graphene incorporating second strain gradient theory [PDF]
Thin-walled structuresThe exploration of graphene has attracted extensive interest owing to its significant structural and mechanical properties. In this research, we numerically investigate wave propagation in defect-free single-layer graphene, considering its geometrically ...
Bo Yang +4 more
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International Journal of Solids and Structures, 2013 AbstractMindlin’s (1965) second strain gradient theory due to its competency in capturing the effects of edges, corners, and surfaces is of particular interest. Formulation in this framework, in addition to the usual Lamé constants, requires the knowledge of sixteen additional materials constants.
Farzaneh Ojaghnezhad, H. Shodja
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