Results 21 to 30 of about 162,049 (328)
In this work, a mathematical modeling of the elastic properties of cubic crystals with centrosymmetry at small scales by means of the Toupin–Mindlin anisotropic first strain gradient elasticity theory is presented.
M. Lazar, E. Agiasofitou, T. Böhlke
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In this paper, we study forced harmonic waves in a magneto-electro-viscoelastic (MEV) nanobeam embedded in a viscoelastic foundation using nonlocal strain gradient elasticity theory.
Lakshmanan ANITHA +3 more
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Symmetry classes for even-order tensors [PDF]
The purpose of this article is to give a complete and general answer to the recurrent problem in continuum mechanics of the determination of the number and the type of symmetry classes of an even-order tensor space.
Auffray, N., Olive, M.
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Non-Conventional Thermodynamics and Models of Gradient Elasticity
We consider material bodies exhibiting a response function for free energy, which depends on both the strain and its gradient. Toupin–Mindlin’s gradient elasticity is characterized by Cauchy stress tensors, which are given by space-like Euler–Lagrange ...
Hans-Dieter Alber +3 more
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Free Vibration Analysis of Size-Dependent Multi-Layered Graphene Sheets Based on Strain Gradient Elasticity Theory [PDF]
This study investigates the size-dependent free vibration analysis of multi-layered graphene sheets based on exponential shear deformation theory (ESDT), which considers the effects of rotary inertia and transverse shear deformations. In order to capture
Korosh Khorshidi +2 more
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On chiral effects in strain gradient elasticity [PDF]
This paper is concerned with the problem of uniformly loaded bars in strain gradient elasticity. We study the deformation of an isotropic chiral bar subjected to body forces, to tractions on the lateral surface and to resultant forces and moments on the ends. Examples of chiral materials include some auxetic materials, bones, some honeycomb structures,
Iesan, Dorin +1 more
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The elastodynamic stress field near a crack tip propagating at a constant speed in isotropic quasi-brittle material was investigated, taking into account the strain gradient and inertia gradient effects.
Yury Solyaev
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Anisotropic and dispersive wave propagation within strain-gradient framework [PDF]
In this paper anisotropic and dispersive wave propagation within linear strain-gradient elasticity is investigated. This analysis reveals significant features of this extended theory of continuum elasticity. First, and contrarily to classical elasticity,
Auffray, Nicolas, Rosi, Giuseppe
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A Note on Reduced Strain Gradient Elasticity [PDF]
We discuss the particular class of strain-gradient elastic material models which we called the reduced or degenerated strain-gradient elasticity. For this class the strain energy density depends on functions which have different differential properties in different spatial directions.
Eremeyev V. A., dell'Isola F.
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Distributed non-singular dislocation technique for cracks in strain gradient elasticity
The mode III fracture analysis of a cracked graded plane in the framework of classical, first strain gradient, and second strain gradient elasticity is presented in this paper.
Mousavi S. Mahmoud +2 more
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