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Showing papers in "International Journal of Engineering Science in 2011"


Journal ArticleDOI
TL;DR: In this article, the stability problem of nano-sized beam based on the strain gradient elasticity and couple stress theories is addressed, and the size effect on the critical buckling load is investigated.

436 citations


Journal ArticleDOI
TL;DR: In this paper, the authors provide an account of the author's gradient approach as applied to elastic and plastic deformations with emphasis on ultrafine grain (ufg) and nanocrystalline (nc) polycrystals, also in comparison with the nonlocal theory.

222 citations


Journal ArticleDOI
TL;DR: In this article, a non-classical solution is proposed to analyze bending and buckling responses of nanobeams including surface stress effects, and explicit formulas are proposed relevant to each type of beam theory to evaluate the surface stress effect on the displacement profile and critical buckling load of the nanobam.

213 citations


Journal ArticleDOI
TL;DR: In this paper, a nonlinear size-dependent Euler-Bernoulli beam model is developed based on a strain gradient theory, capable of capturing the size effect, considering the midplane stretching as the source of the nonlinearity in the beam behavior, the governing nonlinear partial differential equation of motion and the corresponding classical and non-classical boundary conditions are determined using the variational method.

166 citations


Journal ArticleDOI
TL;DR: In this paper, the nonlocal elasticity theory of Eringen is used to study bending, buckling and free vibration of Timoshenko nanobeams, and two different collocation techniques, global and local, are used with multi-quadrics radial basis functions.

158 citations


Journal ArticleDOI
TL;DR: In this article, the free vibration characteristics of nanoplates including surface stress effects are investigated based on the continuum modeling approach, and the difference between the results predicted by the classical and non-classical solutions relies on the sign and magnitude of the surface elastic constants.

148 citations


Journal ArticleDOI
TL;DR: In this paper, the authors derived the governing nonlinear shell equations taking into account the surface stresses and showed that the resultant stress and couple stress tensors can be represented as a sum of two terms, i.e., the first term in the sum depends on the stress distribution in the bulk material while the second one relates to surface stresses.

131 citations


Journal ArticleDOI
TL;DR: In this paper, the authors considered thermal instability of rotating nanofluids heated from below and made a linear stability analysis to investigate analytically the effect of rotation on the onset of convection.

119 citations


Journal ArticleDOI
TL;DR: In this paper, Eringen's micromorphic approach for materials with microstructure is applied to the plasticity and damage of single crystals, and a plastic microdeformation variable and its rotational part are introduced in a standard crystal plasticity model in order to predict size effects in the overall stress response of crystalline solids.

102 citations


Journal ArticleDOI
TL;DR: In this article, the static profile of a cracked cantilever aluminum beam subjected to a static displacement at its free end is analyzed with Gabor wavelet to identify the crack.

97 citations


Journal ArticleDOI
TL;DR: In this paper, an expression for the non-local scaling parameter is derived as a function of the geometric and electronic properties of the rolled graphene sheet in single-walled CNTs.

Journal ArticleDOI
TL;DR: In this paper, the governing differential equation and boundary conditions of strain gradient microbar were derived using variational approach and a closed-form analytical solution was obtained for static torsion and the characteristic equation, which gives the natural frequencies, was derived and analytically solved for the free torsional vibrations of the strain-gradient microbar.

Journal ArticleDOI
TL;DR: In this article, a periodic magnetoelectric smart composite structure consisting of piezoelectrics and piezomagnetic phases is analyzed using the asymptotic homogenization model and the governing equations are determined and subsequently general expressions called unit-cell problems that can be used to determine the effective elasticity and thermal expansion of the composite.

Journal ArticleDOI
TL;DR: In this article, an exact matrix method was proposed for evaluating effective elastic constants of generally anisotropic multilayer composites, which can be used for the layout/material optimization of these METE multilayers to obtain a maximum product property such as the magnetoelectric, pyroelectric, and pyromagnetic coefficients.

Journal ArticleDOI
TL;DR: In this paper, a finite element model of progressive debonding in fiber reinforced composite is developed based on the cohesive-zone model of interface, and the effect on debonding progress of local stress redistribution due to interaction between the fibers was studied in the framework of two-inclusion model.

Journal ArticleDOI
TL;DR: In this paper, a viscoelastic rod of finite length is described by a constitutive equation of fractional distributed-order type with the special choice of weight functions, and boundary conditions on displacement and stress are given.

Journal ArticleDOI
TL;DR: In this paper, an experimental setup enabled to monitor and vary independently confining pressure (range: [0, 50] MPa] and axial stress (up to 680 MPa) at room temperature, and an optimized set of sensors allowed to perform measurements of axial and radial deformation, P- and S-elastic wave velocities, and acoustic emissions.

Journal ArticleDOI
TL;DR: In this article, the authors proposed an extension of continuum thermomechanics to fractal media which are specified by a fractional mass scaling law of the resolution length scale R. The focus is on pre-fractal media (i.e., those with lower and upper cut-offs) through a technique based on a dimensional regularization, in which the fractal dimension D is also the order of fractional integrals employed to state global balance laws.

Journal ArticleDOI
TL;DR: In this paper, the nonlinear vibration response of a thick-walled spherical shell subjected to the mechanical pressure and electric field is studied, where the dielectric elastomer is assumed to be isotropic and neo-Hookean.

Journal ArticleDOI
TL;DR: This paper reviews classical theories of coarse-graining and gives a short introduction to representative coarse- grained atomistic models that were developed based on structure reduction, an assumption of homogenous deformation, and field representation.

Journal ArticleDOI
TL;DR: In this paper, asymptotic approximations for the elastic compliances (P, Q ) of a spheroidal pore as input in the differential effective medium scheme were derived for the effective moduli of an isotropic solid containing randomly oriented spheroids.

Journal ArticleDOI
TL;DR: In this paper, a variational formulation of the coupled electro-mechanical boundary-value problem is proposed for piezoceramics, which is based on incremental potentials for the stresses and the electric displacement.

Journal ArticleDOI
TL;DR: In this paper, an approach for developing microstructure continuum models to represent elastic metamaterials was presented, and this model was used to study wave propagation and band gaps.

Journal ArticleDOI
TL;DR: In this article, the phase velocity of Rayleigh waves and the analytical expressions for the amplitudes of the displacements, temperature and thermal stresses have been derived for a wave traveling along the free surface.

Journal ArticleDOI
TL;DR: In this article, a mathematical analysis of the peristalsis phenomenon is presented, which involves the application of a suitable perturbation technique, and the velocity profile and the critical pressure for the occurrence of reflux are investigated with particular emphasis by using appropriate numerical methods.

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the deformation of a solid cylinder with fixed ends, made of functionally graded material (FGM) with uniform internal heat generation, based on Tresca's yield criterion and its associated flow rule, considering four material properties to vary radially according to a parabolic form.

Journal ArticleDOI
TL;DR: In this paper, the authors apply recently developed volume-averaged metrics to the results of atomistic simulations to investigate deformation and microrotation in the vicinity of grain boundaries.

Journal ArticleDOI
TL;DR: In this article, a concept of effective bending rigidity (EBR) for ultra thin plate is proposed on the basis of Gurtin-Murdoch continuum theory and the principle of minimum potential energy.

Journal ArticleDOI
TL;DR: In this article, a general constitutive model of crushable granular materials is developed within the context of large deformations, where the time evolution equations for breakage, inelastic porous compaction and dilation, and distortional deformations are coupled by a yield surface.

Journal ArticleDOI
TL;DR: In this article, the effect of axial or radial magnetic field on the double-diffusive natural convection in a vertical cylindrical annular cavity was investigated, where boundary conditions at the side walls are imposed in such a way that the thermal and solutal buoyancy effects are either cooperating or opposing, resulting in a cooperating gradients or opposing gradients flow configuration.