... 2 = 0 Its root is η = 1 . 28 03 2011 25 08 2011 13 12 2011 13 12 2011 beams (structures) buckling cantilevers elasticity mechanical stability nanocomposites nanofibres rods (structures) shear modulus Fiber reinforced composites [( 1 2 3...

... to failed material, or if it is failed. The intact and failed strengths are also dependent on the pressure and the strain rate. Thermal softening, damage softening, time-dependent softening, and the effect of the third invariant are also included. The shear modulus can be constant or variable. The pressure...

... elasticity nanorods potential energy functions shallow water equations shear modulus surface energy The understanding of the materials’ mechanical properties plays an essential role in the design and developments of ultrasmall structures and systems. Nowadays, due to increasing demand...

... and perturbed Laplace equations associated with antiplane fracture in a graded material. We present the out-of-plane displacement and the shear stress solutions for a crack in exponentially and linearly graded materials by considering the gradation of the shear modulus either parallel or perpendicular...

... for orthotropic materials, specifically, those, which have a shear modulus different from the isotropic value. Finally, prestressing and initial shape are considered together and, promisingly, it is predicted that some shells can be neutrally stable and bistable simultaneously. Guest , S. D. , Kebadze...

... and is shown to be dependent on only one nondimensional parameter: the product of the aspect ratio of the block and the bending angle. A Maclaurin series expansion in this parameter is then found. The first-order term is proportional to μ , the shear modulus of linear elasticity; the second-order term...

... inside the elliptical inhomogeneity is still uniform when the following two conditions are satisfied: (i) The formed interfaces are ( N − 1 ) confocal ellipses, and (ii) the interphases and the matrix possess the same shear modulus but different Poisson’s ratios. In Appendixes A xB , we also discuss...

... 08 2009 23 02 2010 23 02 2010 deformation pipes shear modulus steel Axially loaded circular cylindrical tubes thick enough to enter the plastic range without buckling eventually experience a sequence of instabilities that lead to collapse. The tubes first buckle...

... y (m) Travel time(ms) Tail with four fins 0.96 46.2 Tail with two fins 2.12 46.2 Tail with nonfins 3.46 49.8 No tail 6.50 129.5 25 08 2008 12 05 2009 05 10 2009 bubbles digital photography drag photographic process shear modulus torque...

... is 1 2 G ε i j = σ i j − ν 1 + ν σ k k δ i j where G and ν are elastic shear modulus and Poisson’s ratio, respectively. The solutions to singularities such as point forces, dislocations and their dipoles, and phase transformation dots...

.... It is found that when the interphase layer is more compliant than both the inhomogeneity and the matrix, three transient equilibrium positions (two are unstable and one is stable) for the dislocation can coexist at a certain early time moment. If the inhomogeneity and matrix possess the same shear modulus...

... 2009 buckling finite element analysis plates (structures) shear modulus shells (structures) structural panels torsion vibrations finite element method perforated stiffened shell panels degenerated curved beam element degenerated shell element deep shell shallow shell cutouts...

... ′ , which are responsible for volumetric and surface strain-gradient terms, respectively. The governing differential equation of the problem is derived assuming that the shear modulus G is a function of x , i.e., G = G ( x ) = G 0 e β x , where G 0 and β are material constants. A hypersingular...

... are degraded by these imperfections. The bulk modulus of the hexagonal lattice is extremely sensitive to imperfections, whereas the shear modulus is almost unaffected. At any given value of relative density and level of imperfection (in the form of missing bars or dispersed nodal positions), the Kagome lattice...

...Kwang Ho Lee; Vijaya Bhaskar Chalivendra; Arun Shukla Thermomechanical stress and displacement fields for a propagating crack in functionally graded materials (FGMs) are developed using displacement potentials and asymptotic analysis. The shear modulus, mass density, and coefficient of thermal...

... along the z -axis 16 04 2007 11 06 2007 27 02 2008 elastoplasticity fast Fourier transforms mechanical contact plastic deformation rolling friction shear modulus sliding friction stress-strain relations vibrations The wear experiment reported in ( 1...

...X. Wang; E. Pan; A. K. Roy The problem of a functionally graded plane with a circular inclusion under a uniform antiplane eigenstrain is investigated, where the shear modulus varies exponentially along the x direction. By introducing a new function which satisfies the Helmholtz equation...

...G. G. Adams; J. R. Barber; M. Ciavarella; J. R. Rice sliding friction slip plasticity yield stress shear modulus The purpose of our technical brief was to first demonstrate that a paradox involving slip reversal exists in a class of sliding contact problems with friction. We were...

...N. P. Kruyt The shear modulus of two-dimensional liquid foams in the dry limit of low liquid content has been studied theoretically. The focus is on the effect of geometrical disorder on the shear modulus (besides the influence of surface tension). Various theoretical predictions are formulated...

... of the transition layer is describable by a piecewise continuous function with a finite number of jumps, an accurate solution can be obtained. The influence of interface conditions, stiffness of the core, spatial distributions of thermal expansion coefficient and shear modulus of FG coating, and loading condition...