Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Analysis of orthotropic circular disks and rings under diametrical loadings

  • Tsutsumi, Takashi (Department of Civil Engineering, Fukushima National College of Technology) ;
  • Hirashima, Ken-Ichi (Department of Civil and Environmental Engineering, Yamanashi University)
  • Published : 2000.01.25
⟨ Previous Next ⟩

Abstract

Very few studies on orthotropic circular disks or rings under diametrical loadings are conducted because of difficulties in treatment. This paper shows analytical solutions and gives the distributions of stresses and displacements by using Lekhnitskii's complex variable method. Several numerical results are shown by graphical representation.

Keywords

References

  1. Cauweleart, F.Y. and Eckmann, B. (1994), "Indirect tensile test applied to anisotropic materials", Materials and Structures, 27, 54-60. https://doi.org/10.1007/BF02472820
  2. Durelli, A.J. and Lin, Y.H. (1986), "Stresses and displacements on the boundaries of circular rings diametrically loaded", Jour. Appl. Meck , 53, 213-219. https://doi.org/10.1115/1.3171715
  3. Hayashi, T. (1960), "On the plane stress problem in a ring of orthogonally aeolotropic material", (in Japanese), Trans. of JSME Series 1,26(164),516-523.
  4. Hetenyi, M. (1960), "A method of solution for the elastic quarter-plane", Jour. Appl. Mech., 27, 289-296. https://doi.org/10.1115/1.3643954
  5. Kawakubo, S., Tsutsumi, T. and Hirashima, K. (1996), "Stress and displacement fields for an anisotropic elliptical disk subjected to arbitrary loads at the boundary" (in Japanese), Trans.of JSME Series A, 62(599), 1626-1633.
  6. Kawamoto, T. (1968), Applied Elasticity (in Japanese), Kyoritsu Pub.
  7. Lekhnitskii, S.G. (1968), Anisotropic Plate, Gordon & Breach.
  8. Lemmon, R.K. and Blackketter, D.M. (1996), "Stress analysis of an orthotropic material under diamctral compression", Exp. Mech., 36, 204-211. https://doi.org/10.1007/BF02318008
  9. Moriguchi, S. (1957), Two Dimensional Elasticity, (in Japanese), Iwanami Pub.
  10. Nelson, C.W. (1939), "Stresses and displacements in a hollow circular cylinder", Ph.D thesis, University of Michigan.
  11. Tsutsumi, T. and Hirashima, K. (1997), "Analysis of anisotropic elliptic ring by using constraint release technique" (in Japanese), Trans. of JSME Series A, 63(615), 2411-2416. https://doi.org/10.1299/kikaia.63.2411

Cited by

  1. Estimation of the bi-modulus of materials through deformation measurement in a Brazilian disk test vol.52, 2012, https://doi.org/10.1016/j.ijrmms.2012.03.010
  2. A BEM implementation for 2D problems in plane orthotropic elasticity vol.26, pp.5, 2007, https://doi.org/10.12989/sem.2007.26.5.591
  3. Stress fields on an isotropic semi-infinite plane with a circular hole subjected to arbitrary loads using the constraint-release technique vol.2, pp.4, 2000, https://doi.org/10.12989/scs.2002.2.4.237
  4. Theoretical analysis of tensile stresses and displacement in orthotropic circular column under diametrical compression vol.38, pp.3, 2011, https://doi.org/10.12989/sem.2011.38.3.333
  5. Modeling for Distribution of Compressive Stress from Loading Platens in Diametrical Compression Test vol.250, pp.None, 2000, https://doi.org/10.1051/matecconf/201825001009
  6. Stress Distribution in Specimen for Diametrical Compression Test under Some Boundary Conditions vol.250, pp.None, 2000, https://doi.org/10.1051/matecconf/201825001010
  7. Boundary Condition Considering Shear Force Applied on Flat Loading Platen for Brazilian Test vol.69, pp.3, 2000, https://doi.org/10.2472/jsms.69.243
  8. Evolution on deformation behaviour of brazilian test under different contact area using particle image velocimetry and finite element modelling vol.159, pp.None, 2000, https://doi.org/10.1016/j.measurement.2020.107796