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The strain gradient elasticity via nonlocal considerations [PDF]
International Journal of Solids and Structures, 2022 Strain gradient elasticity and nonlocal elasticity are two enhanced elastic theories intensively used over the last fifty years to explain static and dynamic phenomena that classical elasticity fails to do.
T. Gortsas, D. G. Aggelis, D. Polyzos
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The Green tensor of Mindlin’s anisotropic first strain gradient elasticity
Materials Theory, 2019 We derive the Green tensor of Mindlin’s anisotropic first strain gradient elasticity. The Green tensor is valid for arbitrary anisotropic materials, with up to 21 elastic constants and 171 gradient elastic constants in the general case of triclinic media.
Giacomo Po +2 more
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Strain Gradient Elasticity in SrTiO3 Membranes: Bending versus Stretching. [PDF]
Nano Letters, 2021 Young's modulus determines the mechanical loads required to elastically stretch a material and also the loads required to bend it, given that bending stretches one surface while compressing the opposite one.
Varun Harbola +6 more
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Displacement potential functions for elastodynamic problems in transversely isotropic media based on nonlocal strain gradient theory [PDF]
مهندسی عمران شریف, 2022 Today nanotechnology has become important in many fields, including industry, medicine, engineering, aerospace, national security and electronics. As the dimensions of the structures decrease, the effects of size play a crucial role in properties of the ...
P. Nateghi Babagi +2 more
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Strain gradient elasticity within the symmetric BEM formulation [PDF]
Fracture and Structural Integrity, 2014 The symmetric Galerkin Boundary Element Method is used to address a class of strain gradient elastic materials featured by a free energy function of the (classical) strain and of its (first) gradient.
S. Terravecchia, +2 more
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Complete General Solutions for Equilibrium Equations of Isotropic Strain Gradient Elasticity [PDF]
Journal of elasticity, 2022 In this paper, we consider isotropic Mindlin–Toupin strain gradient elasticity theory, in which the equilibrium equations contain two additional length-scale parameters and have the fourth order.
Y. Solyaev
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023 In this paper, we show that within the class of isotropic Mindlin‐Toupin gradient theories there exist a particular variant of the theory, which allows a completely simplified form of traction boundary value problems. This theory can be obtained assuming
S. Lurie, Y. Solyaev
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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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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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Asymptotic analysis of plates in static and dynamic strain gradient elasticity
Comptes Rendus. Mécanique, 2022 We study the steady-state and transient responses of a second-order elastic plate by implementing an asymptotic analysis of the three-dimensional equations with respect to two geometric characteristics seen as parameters: the thickness of the plate and ...
Licht, Christian, Weller, Thibaut
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