... of the Poisson’s ratio. The detailed solutions are given for the case of a periodic point source with zero pressure derivatives on the boundaries and for an imposed pressure derivative on the lower edge in the absence of a source. The presented analytical solutions are highly applicable for calibrating numerical...

...S. J. Burns A helical spring that is constrained to no rotation has a compliance that is typically more than 95% of the compliance of springs constrained to free rotation when restricted to symmetric wires made from materials with Poisson’s ratio between 0 and 1/2. It is shown that the shape...

...Zifeng F. Yuan; Huiming M. Yin In this work, Green’s functions for unbounded elastic domain in a functionally graded material with a quadratic variation of elastic moduli and constant Poisson’s ratio of 0.25 are derived for both two-dimensional (2D) and three-dimensional (3D) cases...

... of the same order as the substrate thickness whatever the plate width. We will focus on those formulas, namely, Eqs. 9 , 11 , in the sequel. In this section, we study the accuracy of formulas 9 , 11 in the case of identical Poisson’s ratio in the substrate and the film ( ν f = ν s...

...Dorinamaria Carka; Chad M. Landis The path-dependence of the J -integral is investigated numerically via the finite-element method, for a range of loadings, Poisson’s ratios, and hardening exponents within the context of J 2 -flow plasticity. Small-scale yielding assumptions are employed using...

... 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...

...). The natural frequencies depend not only on these parameters, but also on the ratio of the mass densities of the shell and beam, the ratio of the Young’s moduli of the shell and beam, Poisson’s ratio, and the circumferential wave number m . Short tables for typical parameter values are given for those cases...

... across the interface. 13 08 2008 03 02 2009 27 07 2009 Green's function methods interface phenomena Poisson ratio shear modulus The solutions to singularities such as point forces, dislocations and their dipoles, and phase transformation dots embedded in bonded elastic...

...Z. Abdulaliyev; S. Ataoglu An examination of the effect of Poisson’s ratio on stress distribution is important to interpret the results of a stress-strain analysis by using experimental methods because the material of the model frequently has a different Poisson’s ratio from that of the prototype...

... . The present paper takes as unknowns the traces of the bending strain and stress resultant tensors, respectively, and derives static-geometric dual partial differential equations of fourth order in both the axial and circumferential variables. Because of the explicit appearance of Poisson ratios of bending...

... frequency that is valid for all aspect ratios and Poisson’s ratios is notably lacking in the literature. In this article, we present such a result using a variational and singular perturbation formulation. This yields a simple analytical formula that exhibits a maximum error of 2%. Reissner , E...

... shear strength Poisson ratio nonuniform film temperatures and stresses nonuniform substrate curvatures stress-curvature relations nonlocal effects interfacial shears Substrates formed of suitable solid-state materials may be used as platforms to support various thin film structures...

...J. G. Simmonds carbon nanotubes shells (structures) elasticity buckling torsion Poisson ratio variational techniques I wish to point out that there are equations for the vibration (( 1 ), pp. 259–261) and buckling ( 2 ) of elastically isotropic circular cylindrical shells...

... plates. The Young’s modulus of the FG plate is assumed to vary exponentially along the thickness of the plate while the Poisson’s ratio is assumed to be constant over the domain of the plate. The numerical values of the exact solutions are presented for both thick and thin smart FG plates and indicate...

... VIB formulation stimulated successful computational studies with applications to structural and biological materials, it suffers from the following theoretical inconsistency. When the constitutive relations of the VIB model are linearized for an isotropic homogeneous material, the Poisson ratio...

... . 30 October 2003 12 August 2004 15 03 2005 glass fibre reinforced composites microcracks internal stresses stress-strain relations tensile testing Young's modulus shear modulus Poisson ratio free energy stress effects tensors The industry of utility and recreative...

...T. C. T. Ting; D. M. Barnett Poisson’s ratio for an anisotropic linear elastic material depends on two orthogonal directions n and m . Materials with negative Poisson’s ratios for all ( n , m ) pairs are called completely auxetic while those with positive Poisson’s ratios for all ( n , m ) pairs...

... model and a 3D axisymmetric elastic model reveals that for prescribed acceleration the acoustic model fails to capture important features of the elastic model even as Poisson ratio ν approaches 1 ∕ 2 . However for prescribed pressure, the two models agree since shear stress is reduced. For prescribed...

...T. J. Pence 19 01 2005 rubber stress analysis stress effects internal stresses stress-strain relations shear deformation Young's modulus Poisson ratio shear modulus reviews The paper by Horton, Tupholme, and Gover ( 1 ) analyzes the deformation behavior of rubber using...

... specific dimensionless combinations of the effective moduli, which are independent of the solid Poisson ratio. Using them saves computations of the structure moduli by FEM-like methods and helps one to evaluate their practical accuracy. Thus far, the only result of this kind has been observed numerically...