Results 271 to 280 of about 162,049 (328)
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Symmetry conditions in strain gradient elasticity
Mathematics and Mechanics of Solids, 2015We study the variational significance of the “order-of-differentiation” symmetry condition of strain gradient elasticity. This symmetry condition stems from the fact that in strain gradient elasticity, one can interchange the order of differentiation in the components of the second displacement gradient tensor.
Andrei A Gusev, Sergey A Lurie
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Fractional derivatives and strain gradient elasticity
Acta Mechanica, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lazopoulos, K. A., Lazopoulos, A. K.
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Mathematics and mechanics of solids, 2021
The flexural wave propagation in a microbeam is studied based upon the nonlocal strain gradient model with the spatial and time fractional order differentials in the present work.
Yishuang Huang +3 more
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The flexural wave propagation in a microbeam is studied based upon the nonlocal strain gradient model with the spatial and time fractional order differentials in the present work.
Yishuang Huang +3 more
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Strain gradient elasticity and stress fibers
Archive of Applied Mechanics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lazopoulos, K. A., Lazopoulos, A. K.
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, 2021
the traveling and the standing flexural waves in an infinite homogeneous elastic nanoplate are studied based on the nonlocal strain gradient elasticity and the thermoelasticity in present work.
Yishuang Huang, P. Wei
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the traveling and the standing flexural waves in an infinite homogeneous elastic nanoplate are studied based on the nonlocal strain gradient elasticity and the thermoelasticity in present work.
Yishuang Huang, P. Wei
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Mechanics of Advanced Materials and Structures, 2021
A new microstructure-dependent non-classical model for Kirchhoff plates is developed by using a reformulated strain gradient elasticity theory that incorporates both the strain gradient and couple stress effects.
Gongye Zhang +3 more
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A new microstructure-dependent non-classical model for Kirchhoff plates is developed by using a reformulated strain gradient elasticity theory that incorporates both the strain gradient and couple stress effects.
Gongye Zhang +3 more
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The Kirsch problem in second strain gradient elasticity
Proceedings of the Royal Society AThe Kirsch problem, namely the problem of an infinite plane with a circular hole under uniaxial tension, is one of the cornerstone problems in elasticity. The Kirsch problem is rooted in classical elasticity theory, which cannot explain the size effects.
Jinchen Xie, A. Javili, C. Linder
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Nano letters (Print)
We study the temperature dependent elastic properties of Ba0.8Sr0.2TiO3 freestanding membranes across the ferroelectric-to-paraelectric phase transition using an atomic force microscope.
Varun Harbola +5 more
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We study the temperature dependent elastic properties of Ba0.8Sr0.2TiO3 freestanding membranes across the ferroelectric-to-paraelectric phase transition using an atomic force microscope.
Varun Harbola +5 more
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Engineering Fracture Mechanics, 2021
In this paper, a novel phase field (PF) model for fracture is developed in the framework of strain gradient elasticity. The strain energy decomposition methods initially proposed for linear elastic fracture problems are extended to the gradient ...
Bai-cheng Zhang, Jun Luo
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In this paper, a novel phase field (PF) model for fracture is developed in the framework of strain gradient elasticity. The strain energy decomposition methods initially proposed for linear elastic fracture problems are extended to the gradient ...
Bai-cheng Zhang, Jun Luo
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International Journal of Applied Mechanics, 2013
A size-dependent nonclassical Bernoulli–Euler beam model based on the strain gradient elasticity is proposed for piezoelectric nanowires. The governing equations and the corresponding boundary conditions are naturally derived from the variational principle.
LIANG XU, SHENGPING SHEN
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A size-dependent nonclassical Bernoulli–Euler beam model based on the strain gradient elasticity is proposed for piezoelectric nanowires. The governing equations and the corresponding boundary conditions are naturally derived from the variational principle.
LIANG XU, SHENGPING SHEN
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