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Keywords: Poisson ratio
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Journal Articles
Article Type: Research Papers
J. Appl. Mech. November 2011, 78(6): 061020.
Published Online: September 9, 2011
... 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...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. November 2011, 78(6): 061005.
Published Online: August 24, 2011
...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 of the...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. March 2011, 78(2): 021021.
Published Online: December 20, 2010
...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. The...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. January 2011, 78(1): 011008.
Published Online: October 13, 2010
.... , 1987 , “ Foam Structures With a Negative Poisson’s Ratio ,” Science 0036-8075 , 235 , pp. 1038 – 1040 . 10.1126/science.235.4792.1038 Evans , K. E. , 1991 , “ Auxetic Polymers—A New Range of Materials ,” Endeavour 0013-7162 , 15 ( 4 ), pp. 170 – 174 . 10.1016/0160-9327(91)90123...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. January 2011, 78(1): 011006.
Published Online: October 12, 2010
...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...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2010, 77(4): 041018.
Published Online: April 19, 2010
... 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 an...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. March 2010, 77(2): 021018.
Published Online: December 14, 2009
... 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...
Journal Articles
Article Type: Technical Briefs
J. Appl. Mech. November 2009, 76(6): 064503.
Published Online: July 27, 2009
... , X. , and Jeffrey , R. G. , 2006 , “ Numerical Studies on Crack Problems in Three-Layered Elastic Media Using an Image Method ,” Int. J. Fract. 0376-9429 10.1007/s10704-006-0054-y , 139 , pp. 477 – 493 . Green's function methods interface phenomena Poisson ratio shear modulus...
Journal Articles
Article Type: Technical Briefs
J. Appl. Mech. January 2009, 76(1): 014506.
Published Online: November 6, 2008
...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...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2008, 75(4): 041022.
Published Online: May 19, 2008
... . 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...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. January 2008, 75(1): 011007.
Published Online: January 11, 2008
... 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...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. November 2007, 74(6): 1225–1233.
Published Online: February 9, 2006
... interface phenomena stress effects interface structure shear strength Poisson ratio nonuniform film temperatures and stresses nonuniform substrate curvatures stress-curvature relations nonlocal effects interfacial shears A schematic diagram of the thin film/substrate system, showing the...
Journal Articles
Article Type: Discussions
J. Appl. Mech. November 2005, 72(6): 981.
Published Online: November 1, 2005
.... , 1974 , “ Comments on the Paper ‘On an Accurate Theory for Circular Cylindrical Shells’ by S. Cheng ,” ASME J. Appl. Mech. 0021-8936 , 41 , pp. 541 – 542 . carbon nanotubes shells (structures) elasticity buckling torsion Poisson ratio variational techniques It is also important...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. July 2006, 73(4): 622–632.
Published Online: April 12, 2005
... 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...
Journal Articles
Article Type: Technical Briefs
J. Appl. Mech. November 2005, 72(6): 969–971.
Published Online: April 5, 2005
... 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 is...
Journal Articles
Article Type: Article
J. Appl. Mech. March 2005, 72(2): 249–258.
Published Online: March 15, 2005
... shear modulus Poisson ratio free energy stress effects tensors 30 October 2003 12 August 2004 15 03 2005 Pense´e , V. , and Kondo , D. , 2001 , “ Une Analyse Microme´canique 3-D de l’Endommagement par Me´sofissuration ,” C. R. Acad. Sci., Ser. IIb: Mec...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. November 2005, 72(6): 929–931.
Published Online: February 28, 2005
...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...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. September 2005, 72(5): 744–751.
Published Online: February 7, 2005
... 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...
Journal Articles
Article Type: Article
J. Appl. Mech. May 2005, 72(3): 453.
Published Online: January 19, 2005
... 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 the isotropic, infinitesimal strain theory of elasticty for an incompressible material. Accordingly, the...
Journal Articles
Article Type: Technical Briefs
J. Appl. Mech. January 2006, 73(1): 163–166.
Published Online: November 1, 2004
... 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...