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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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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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A procedure for the experimental identification of the strain gradient characteristic length
The aim of this paper is to propose an experimental procedure for determining the characteristic length of a strain gradient model. The...
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Size-Dependent Analysis of Piezoelectric–Elastic Bilayer Microbeams Based on General Strain Gradient Theory
The classical piezoelectric theory fails to capture the size-dependent electromechanical coupling behaviors of piezoelectric microstructures due to...
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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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Nonlocal strain gradient model for thermal buckling analysis of functionally graded nanobeams
In this work, a nonlocal strain gradient model for the buckling analysis of functionally graded Euler–Bernoulli beam subjected to thermo-mechanical...
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A nonlocal strain gradient model for buckling analysis of laminated composite nanoplates using CLPT and TSDT
In this work, a nonlocal strain gradient model is developed for the buckling analysis of laminated nanocomposite plates. The nonlocal and strain...
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Lyapunov-Based Boundary Control of Strain Gradient Microplates
PurposeDue to the significance of the effect size on microstructures and also due to the fact that classical continuum theory cannot predict their...
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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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Strain Gradient Finite Element Formulation of Flexoelectricity in Ferroelectric Material Based on Phase-Field Method
Flexoelectricity is a two-way coupling effect between the strain gradient and electric field that exists in all dielectrics, regardless of point...
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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...
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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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Influence of freeze–thaw damage gradient on stress–strain relationship of stressed concrete
Freeze–thaw damage gradients lead to non-uniform degradation of concrete mechanical properties at different depths. A study was conducted on the...
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Analyzing torsional vibration in restrained functionally graded nanobeams: nonlocal Lam strain gradient approach
This research explores the free torsional vibration behavior of a functionally graded (FG) circular nanobeam, constrained at both ends by torsion...
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Vortex domain structures induced by strain gradient reduce ferroelectric brittleness
The shear failure of ferroelectric material is hard to investigate because of the electromechanical properties of the material and its high speed at...
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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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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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Modeling and analysis of the effect of strain gradient to design diaphragm for pressure sensing application through finite element analysis
Capacitive and optical-based pressure sensors are considered for wide application in industries and R&D labs due to their superior performance. In...
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Dynamic stability of porous functionally graded nanotubes via nonlocal strain and velocity gradient theory
Dynamic stability of simply supported porous functionally graded (PFG) nanotubes under parametric axial excitation is investigated. The material...
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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...