메뉴 건너뛰기




Volumn 37, Issue 40, 2000, Pages 5707-5732

Finite solid circular cylinders subjected to arbitrary surface load. Part I - Analytic solution

Author keywords

Analytic solution; Arbitrary surface load; Displacement functions; Elastic stress analysis; Finite solid cylinders

Indexed keywords

BOUNDARY CONDITIONS; ELASTICITY; FOURIER TRANSFORMS; PROBLEM SOLVING; STRESS ANALYSIS; STRUCTURAL ANALYSIS; STRUCTURAL LOADS;

EID: 0033715078     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00289-9     Document Type: Article
Times cited : (48)

References (37)
  • 2
    • 0016334278 scopus 로고
    • Strain distribution within compressed circular cylinders
    • Al-Chalabi, M., McCormick, F.J., Huang, C.L., 1974. Strain distribution within compressed circular cylinders. Experimental Mechanics 14 (2), 497-561.
    • (1974) Experimental Mechanics , vol.14 , Issue.2 , pp. 497-561
    • Al-Chalabi, M.1    McCormick, F.J.2    Huang, C.L.3
  • 3
    • 0344328078 scopus 로고
    • A new solution of the stress conditions compression
    • Balla, A., 1960a. A new solution of the stress conditions compression. Acta Tech. Hungary 28, 349-387.
    • (1960) Acta Tech. Hungary , vol.28 , pp. 349-387
    • Balla, A.1
  • 4
    • 0345190493 scopus 로고
    • Stress conditions in triaxial compression
    • Proceedings of ASCE
    • Balla, A., 1960b. Stress conditions in triaxial compression. Journal of Soil Mechanics and Foundations Division, Proceedings of ASCE 86 (6), 57-84.
    • (1960) Journal of Soil Mechanics and Foundations Division , vol.86 , Issue.6 , pp. 57-84
    • Balla, A.1
  • 5
    • 0141844956 scopus 로고
    • An exact solution to the radially end-constrained circular cylinder under triaxial loading
    • Brady, B.T., 1971. An exact solution to the radially end-constrained circular cylinder under triaxial loading. International Journal of Rock Mechanics and Mining Science 8, 165-178.
    • (1971) International Journal of Rock Mechanics and Mining Science , vol.8 , pp. 165-178
    • Brady, B.T.1
  • 7
    • 0039834480 scopus 로고    scopus 로고
    • Young's modulus interpreted from compression tests with end friction
    • ASCE
    • Chau, K.T., 1997. Young's modulus interpreted from compression tests with end friction. Journal of Engineering Mechanics, ASCE 123 (1), 1-7.
    • (1997) Journal of Engineering Mechanics , vol.123 , Issue.1 , pp. 1-7
    • Chau, K.T.1
  • 8
    • 0001248356 scopus 로고    scopus 로고
    • Analytic solutions for diametral point load strength tests
    • ASCE
    • Chau, K.T., 1998a. Analytic solutions for diametral point load strength tests. Journal of Engineering Mechanics, ASCE 124 (8), 875-883.
    • (1998) Journal of Engineering Mechanics , vol.124 , Issue.8 , pp. 875-883
    • Chau, K.T.1
  • 9
    • 85001716369 scopus 로고    scopus 로고
    • Author's closure to Discussion by S. Watanabe on 'Young's modulus interpreted from compression tests with end friction'
    • ASCE
    • Chau, K.T., 1998b. Author's closure to Discussion by S. Watanabe on 'Young's modulus interpreted from compression tests with end friction'. Journal of Engineering Mechanics, ASCE 124 (10), 1171-1174.
    • (1998) Journal of Engineering Mechanics , vol.124 , Issue.10 , pp. 1171-1174
    • Chau, K.T.1
  • 10
    • 0347104497 scopus 로고    scopus 로고
    • A new analytic solution for the diametral point load strength test on finite solid circular cylinders
    • submitted
    • Chau, K.T., Wei, X.X., 1999. A new analytic solution for the diametral point load strength test on finite solid circular cylinders. International Journal of Solids and Structures, submitted.
    • (1999) International Journal of Solids and Structures
    • Chau, K.T.1    Wei, X.X.2
  • 11
    • 0001298228 scopus 로고
    • The equations of an isotropic elastic solid in polar and cylindrical co-ordinates, their solution and application
    • Chree, C., 1889. The equations of an isotropic elastic solid in polar and cylindrical co-ordinates, their solution and application. Cambridge Philosophical Transactions 14, 250-369.
    • (1889) Cambridge Philosophical Transactions , vol.14 , pp. 250-369
    • Chree, C.1
  • 12
    • 84915949631 scopus 로고
    • An analytic theory of the equilibrium of an isotropic elastic rod of circular section
    • Dougall, J., 1914. An analytic theory of the equilibrium of an isotropic elastic rod of circular section. Transactions of the Royal Society of Edinburg 59 (part 4), 895-978.
    • (1914) Transactions of the Royal Society of Edinburg , vol.59 , Issue.4 PART , pp. 895-978
    • Dougall, J.1
  • 13
    • 0344328077 scopus 로고
    • On the compression of a short cylinder between rough end-blocks
    • Edelman, F., 1948. On the compression of a short cylinder between rough end-blocks. Quarterly of Applied Mathematics 7 (3), 334-337.
    • (1948) Quarterly of Applied Mathematics , vol.7 , Issue.3 , pp. 334-337
    • Edelman, F.1
  • 14
    • 0011052507 scopus 로고
    • On the elastic equilibrium of circular cylinders under certain practical systems of load
    • Filon, L.N.G., 1902. On the elastic equilibrium of circular cylinders under certain practical systems of load. Philosophical Transactions of the Royal Society of London A198, 147-223.
    • (1902) Philosophical Transactions of the Royal Society of London , vol.A198 , pp. 147-223
    • Filon, L.N.G.1
  • 15
    • 0347734858 scopus 로고
    • The static Reissner-Sagoci problem for a finite cylinder: Another variation on a theme of I.N. Sneddon
    • Eason, G., Ogden, R.W. (Eds.), Ellis Horwood, New York
    • Gladwell, G.M.L., Lemczyk, T.F., 1990. The static Reissner-Sagoci problem for a finite cylinder: another variation on a theme of I.N. Sneddon. In: Eason, G., Ogden, R.W. (Eds.), Elasticity: Mathematical Methods and Applications. Ellis Horwood, New York, pp. 113-123.
    • (1990) Elasticity: Mathematical Methods and Applications , pp. 113-123
    • Gladwell, G.M.L.1    Lemczyk, T.F.2
  • 16
    • 0021411268 scopus 로고
    • Elastic circular finite cylinder under torsion by a pair of annular rigid stamps
    • Hasegawa, H., 1984. Elastic circular finite cylinder under torsion by a pair of annular rigid stamps. Bulletin of J.S.M.E 27, 630-638.
    • (1984) Bulletin of J.S.M.E , vol.27 , pp. 630-638
    • Hasegawa, H.1
  • 18
    • 0345843379 scopus 로고
    • On the stress distribution in the cylinder under compression test
    • Kimura, J., 1931. On the stress distribution in the cylinder under compression test. Journal of JSCE 17, 713-731.
    • (1931) Journal of JSCE , vol.17 , pp. 713-731
    • Kimura, J.1
  • 22
    • 0008538046 scopus 로고
    • Stress analysis of a circular cylinder of finite length subjected to loads symmetrical to middle plane and to axis of revolution
    • Ogaki, Y., Nakajima, N., 1983. Stress analysis of a circular cylinder of finite length subjected to loads symmetrical to middle plane and to axis of revolution. The Science and Engineering Review of Doshisha University 23 (4), 195-205.
    • (1983) The Science and Engineering Review of Doshisha University , vol.23 , Issue.4 , pp. 195-205
    • Ogaki, Y.1    Nakajima, N.2
  • 23
    • 0343617612 scopus 로고
    • Stresses within elastic circular cylinders loading uniaxially and triaxially
    • Peng, S.D., 1971. Stresses within elastic circular cylinders loading uniaxially and triaxially. International Journal of Rock Mechanics and Mining Science 8, 399-432.
    • (1971) International Journal of Rock Mechanics and Mining Science , vol.8 , pp. 399-432
    • Peng, S.D.1
  • 24
    • 85143531546 scopus 로고
    • Application of the Fourier method to the solution of certain boundary problems in the theory of elasticity
    • ASME
    • Pickett, G., 1944. Application of the Fourier method to the solution of certain boundary problems in the theory of elasticity. Journal of Applied Mechanics, ASME 66, A176-A182.
    • (1944) Journal of Applied Mechanics , vol.66
    • Pickett, G.1
  • 25
    • 84941404061 scopus 로고
    • Beitrag zur theorie der biegung des Kreiscylinders
    • Pochhammer, L., 1876. Beitrag zur theorie der biegung des Kreiscylinders. Crelles Journal 81, 33.
    • (1876) Crelles Journal , vol.81 , pp. 33
    • Pochhammer, L.1
  • 26
    • 0023389470 scopus 로고
    • An elastic circular cylinder with displacement prescribed at the ends-axially symmetric case
    • Robert, M., Keer, L.M., 1987a. An elastic circular cylinder with displacement prescribed at the ends-axially symmetric case. Quarterly Journal of Mechanics and Applied Mathematics 40 (3), 339-361.
    • (1987) Quarterly Journal of Mechanics and Applied Mathematics , vol.40 , Issue.3 , pp. 339-361
    • Robert, M.1    Keer, L.M.2
  • 27
    • 0023394062 scopus 로고
    • An elastic circular cylinder with prescribed displacements at the ends-asymmetric case
    • Robert, M., Keer, L.M., 1987b. An elastic circular cylinder with prescribed displacements at the ends-asymmetric case. Quarterly Journal of Mechanics and Applied Mathematics 40 (3), 365-381.
    • (1987) Quarterly Journal of Mechanics and Applied Mathematics , vol.40 , Issue.3 , pp. 365-381
    • Robert, M.1    Keer, L.M.2
  • 28
    • 0008574923 scopus 로고
    • The axially symmetrical deformation of a short cylinder
    • Saito, H., 1952. The axially symmetrical deformation of a short cylinder. Transactions of JSME 18 (68), 21-28.
    • (1952) Transactions of JSME , vol.18 , Issue.68 , pp. 21-28
    • Saito, H.1
  • 29
    • 0008605260 scopus 로고
    • The axially symmetrical deformation of a short cylinder
    • Saito, H., 1954. The axially symmetrical deformation of a short cylinder. Transactions of JSME 20 (91), 185-190.
    • (1954) Transactions of JSME , vol.20 , Issue.91 , pp. 185-190
    • Saito, H.1
  • 31
    • 0030257115 scopus 로고    scopus 로고
    • Elastic analysis of axi-symmetric finite cylinder constrained radial displacement on the loading end
    • JSCE
    • Watanabe, S., 1996. Elastic analysis of axi-symmetric finite cylinder constrained radial displacement on the loading end. Structural Engineering/Earthquake Engineering, JSCE 13 (2), 175s-185s.
    • (1996) Structural Engineering/Earthquake Engineering , vol.13 , Issue.2
    • Watanabe, S.1
  • 33
    • 0033723880 scopus 로고    scopus 로고
    • Finite solid circular cylinders subjected to arbitrary surface load. Part II: Application to double-punch test
    • Wei, X.X., Chau, K.T., 1999. Finite solid circular cylinders subjected to arbitrary surface load. Part II: Application to double-punch test. International Journal of Solids and Structures 37 (40), 5733-5744.
    • (1999) International Journal of Solids and Structures , vol.37 , Issue.40 , pp. 5733-5744
    • Wei, X.X.1    Chau, K.T.2
  • 34
    • 0033355964 scopus 로고    scopus 로고
    • Exact analytic solution for axial point load strength test for solid circular cylinders
    • Wei, X.X., Chau, K.T., Wong, R.H.C., 1999. Exact analytic solution for axial point load strength test for solid circular cylinders. Journal of Engineering Mechanics ASCE 125 (12), 1349-1357.
    • (1999) Journal of Engineering Mechanics ASCE , vol.125 , Issue.12 , pp. 1349-1357
    • Wei, X.X.1    Chau, K.T.2    Wong, R.H.C.3
  • 36
    • 0019024647 scopus 로고
    • The point load test for the tensile strength of rock
    • Wijk, G., 1980. The point load test for the tensile strength of rock. Geotechnical Testing Journal 3 (2), 49-54.
    • (1980) Geotechnical Testing Journal , vol.3 , Issue.2 , pp. 49-54
    • Wijk, G.1
  • 37
    • 0030415542 scopus 로고    scopus 로고
    • Circular cylinders with bands of pressure: Axisymmetric closed form solutions utilizing Bessel's functions & Fourier series
    • ASME, Washington
    • Williams, D.K., 1996. Circular cylinders with bands of pressure: axisymmetric closed form solutions utilizing Bessel's functions & Fourier series. In: Pressure Vessels and Piping Design, Analysis, and Severe Accidents, PVP-Vol. 331. ASME, Washington, pp. 77-87.
    • (1996) Pressure Vessels and Piping Design, Analysis, and Severe Accidents , vol.PVP-VOL. 331 , pp. 77-87
    • Williams, D.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.