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Complete General Solutions for Equilibrium Equations of Isotropic Strain Gradient Elasticity
In this paper, we consider isotropic Mindlin–Toupin strain gradient elasticity theory, in which the equilibrium equations contain two additional...
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Plane crack problems within strain gradient elasticity and mixed finite element implementation
An alternative approach is proposed and applied to solve boundary value problems within the strain gradient elasticity theory. A mixed variation...
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Phase field modeling of ferroelastic variant switching in yttria-stabilized t′zirconia with strain gradient elasticity and interface tension
The 6–8 wt% yttria-stabilized zirconia with a tetragonal structure (t′-YSZ) is extensively employed in thermal barrier coatings. The exceptional...
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Postbuckling of functionally graded microbeams: a theoretical study based on a reformulated strain gradient elasticity theory
A size-dependent post buckling analysis of functionally graded (FG) microbeams is conducted by using an analytical solution based on a reformulated...
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Torsional and axial vibration of restrained saturated nanorods via strain gradient elasticity
Size-dependent torsional and longitudinal free vibrations of restrained saturated porous nanorods are studied by a higher-order elasticity theory....
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A unified reproducing kernel gradient smoothing Galerkin meshfree approach to strain gradient elasticity
A unified reproducing kernel gradient smoothing formulation is presented for efficient Galerkin meshfree analysis of strain gradient elasticity...
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Strain gradient elasticity theory of polymer networks
In physically (statistically) based theories for rubber-like materials, network models serve as a bridge that connects chain dynamics to continuum...
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Dynamic Response of Fractional-Order Viscoelastic High-Order Shear Beam Based on Nonlocal Strain Gradient Elasticity
The dynamic behavior of a viscoelastic high-order shear microbeam is studied based on a new constitutive model which incorporates size effects and...
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Modelling the spatially periodic deformation pattern of the surrounding rock near deep level tunnels by strain gradient elasticity theory
Spatially periodic deformation pattern, referred as zonal disintegration, is a distinct phenomenon in the deep buried surrounding rock masses. The...
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Size-dependent postbuckling for microbeams: analytical solutions using a reformulated strain gradient elasticity theory
This paper presents closed-form solutions for exploring size-dependent postbuckling of Euler–Bernoulli and Timoshenko microbeams using a novel strain...
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Analytical Solution for Circular Microbeams with Strain Gradient Elasticity
In the analysis of skeletal structures, circular beams are widely studied since their simple geometry allows the derivation of analytical solutions...
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A Study of Thermal Effects and Strain Gradient Elasticity in Wave Propagation Through Matrix-Embedded Wall Carbon Nanotubes
BackgroundThe study focuses on the vibrational characteristics of double-walled carbon nanotubes (DWCNTs) within a polymer matrix, using the theory...
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Strong Ellipticity Within the Strain Gradient Elasticity: Elastic Bar Case
In this note we discuss the strong ellipticity condition within the nonlinear strain gradient elasticity. Considering a one-dimensional case, i.e. an...
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Elastic Solids with Strain-Gradient Elastic Boundary Surfaces
Recent works have shown that in contrast to classical linear elastic fracture mechanics, endowing crack fronts in a brittle Green-elastic solid with...
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The strain gradient viscoelasticity full field solution of mode-III crack problem
The size and viscosity effects are noticeable at the micro-/nano scale. In the present work, the strain gradient viscoelastic solution of the...
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Incompatible strain gradient elasticity of Mindlin type: screw and edge dislocations
The fundamental problem of dislocations in incompatible isotropic strain gradient elasticity theory of Mindlin type, unsolved for more than half a...
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A size-dependent thermoelastic dam** model for micro-beams based on modified gradient elasticity
To investigate the size-dependent behavior of micro-beams with thermoelastic dam** (TED), a new size-dependent thermoelastic dam** model based on...
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Isogeometric analysis of small-scale effects on the vibration of functionally graded porous curved microbeams based on the modified strain gradient elasticity theory
This paper presents a size-dependent study on the free vibration behaviour of the functionally graded (FG) porous curved microbeams. Based on the...
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A mode-III fracture analysis of two collinear cracks in a functionally graded material using gradient elasticity theory
In this paper, we have studied the behaviour of two symmetric mode-III collinear cracks in a functionally graded material (FGM). The fundamental goal...
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Vibration of embedded restrained composite tube shafts with nonlocal and strain gradient effects
Torsional vibration response of a circular nanoshaft, which is restrained by the means of elastic springs at both ends, is a matter of great concern...
