Results 11 to 20 of about 16,360 (294)
A Note on Reduced Strain Gradient Elasticity [PDF]
, 2018 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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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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Positive definiteness in coupled strain gradient elasticity [PDF]
Continuum Mechanics and Thermodynamics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lidiia Nazarenko +2 more
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Cracks in Strain Gradient Elasticity-distributed Dislocation Technique
Procedia Materials Science, 2014 AbstractThe mode III fracture analysis of graded cracked plane in the framework of classical and strain gradient elasticity is presented in this work. Solutions to the problem of screw dislocation in plane are available for classical and strain gradient elasticity theories.
Mousavi, Seyed Mahmoud +3 more
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The ab-initio aided strain gradient elasticity theory
Fracture and Structural Integrity, 2019 When the width of cracked nanocomponents made of brittle or quasi-brittle materials is less than approximately , the size of the - dominance zone becomes smaller than and comparable to the fracture process zone ( ).
Tomas Profant, Jaroslav Pokluda
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Stability of strain gradient elastic bars in tension [PDF]
Optimization Letters, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. G. Bakogianni +1 more
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Explicit harmonic structure of bidimensional linear strain-gradient elasticity [PDF]
European Journal of Mechanics - A/Solids, 2021 In the perspective of homogenization theory, strain-gradient elasticity is a strategy to describe the overall behaviour of materials with coarse mesostructure. In this approach, the effect of the mesostructure is described by the use of three elasticity tensors whose orders vary from 4 to 6.
Auffray, Nicolas +2 more
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Elastic solids with strain-gradient elastic boundary surfaces
Journal of Elasticity, 2023 Abstract Recent works have shown that in contrast to classical linear elastic fracture mechanics, endowing crack fronts in a brittle solid with Steigmann-Ogden surface elasticity yields a model that predicts bounded strains at the crack tips for plane-strain problems. However, a logarithmic singularity is still present in general for anti-plane
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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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Size-Dependent Buckling Analysis of Microbeams by an Analytical Solution and Isogeometric Analysis
Crystals, 2022 This paper proposes an analytical solution and isogeometric analysis numerical approach for buckling analysis of size-dependent beams based on a reformulated strain gradient elasticity theory (RSGET).
Shuohui Yin +4 more
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