메뉴 건너뛰기




Volumn 84, Issue 1-2, 2005, Pages 78-91

Elastic torsion of bars possessing regular polygon in cross-section using BCM

Author keywords

Boundary collocation method; Composite bar; Multi connected cross section; Special purpose Trefftz functions; Torsion; Torsional rigidity

Indexed keywords

COMPOSITE STRUCTURES; ELASTICITY; FUNCTIONS; REINFORCEMENT; STIFFNESS; STRUCTURAL MEMBERS; TORSIONAL STRESS;

EID: 27844486043     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2005.03.015     Document Type: Article
Times cited : (22)

References (45)
  • 3
    • 0000105560 scopus 로고
    • Torsion of compound bars a relaxation solution
    • J.F. Ely, and O.C. Zienkiewicz Torsion of compound bars a relaxation solution Int J Mech Sci 14 1960 356 365
    • (1960) Int J Mech Sci , vol.14 , pp. 356-365
    • Ely, J.F.1    Zienkiewicz, O.C.2
  • 4
    • 0001802486 scopus 로고
    • Elastic torsional analysis of irregular shapes
    • R.L. Herrmann Elastic torsional analysis of irregular shapes J Eng Mech Div, Proc ACSE 9 EM6 1965 11 19
    • (1965) J Eng Mech Div, Proc ACSE , vol.9 , Issue.6 , pp. 11-19
    • Herrmann, R.L.1
  • 5
    • 0029304014 scopus 로고
    • A numerical approach to steel fibre reinforced concrete under torsion
    • C.G. Karayannis A numerical approach to steel fibre reinforced concrete under torsion Struct Eng Rev 7 1995 83 91
    • (1995) Struct Eng Rev , vol.7 , pp. 83-91
    • Karayannis, C.G.1
  • 6
    • 0033722911 scopus 로고    scopus 로고
    • Torsional rigidity of reinforced concrete bars with arbitrary sectional shape
    • Z. Li, J.M. Ko, and Y.Q. Ni Torsional rigidity of reinforced concrete bars with arbitrary sectional shape Finite Elem Anal Des 35 2000 349 361
    • (2000) Finite Elem Anal des , vol.35 , pp. 349-361
    • Li, Z.1    Ko, J.M.2    Ni, Y.Q.3
  • 7
    • 0008979224 scopus 로고
    • An integral equation solution of the torsion problem
    • M.A. Jawson, and R.A. Ponter An integral equation solution of the torsion problem Proc Royal Soc London 275 A 1963 237 246
    • (1963) Proc Royal Soc London , vol.275 , pp. 237-246
    • Jawson, M.A.1    Ponter, R.A.2
  • 8
    • 0033908378 scopus 로고    scopus 로고
    • Torsion and flexure a prismatic isotropic beam using the boundary element method
    • Z. Friedman, and J.B. Kosmatka Torsion and flexure a prismatic isotropic beam using the boundary element method Comput Struct 74 2000 479 494
    • (2000) Comput Struct , vol.74 , pp. 479-494
    • Friedman, Z.1    Kosmatka, J.B.2
  • 9
    • 0035545915 scopus 로고    scopus 로고
    • Nonuniform torsion of multi-material composite bars by the boundary element method
    • E.J. Sapountzakis Nonuniform torsion of multi-material composite bars by the boundary element method Comput Struct 79 2001 2805 2816
    • (2001) Comput Struct , vol.79 , pp. 2805-2816
    • Sapountzakis, E.J.1
  • 10
    • 0141625663 scopus 로고    scopus 로고
    • Warping shear stresses in nonuniform torsion of composites bars by BEM
    • E.J. Sapountzakis, and V.G. Mokos Warping shear stresses in nonuniform torsion of composites bars by BEM Comput Methods Appl Mech Eng 192 2003 4337 4353
    • (2003) Comput Methods Appl Mech Eng , vol.192 , pp. 4337-4353
    • Sapountzakis, E.J.1    Mokos, V.G.2
  • 13
    • 0023541981 scopus 로고
    • Review of application of boundary collocation methods in mechanics of continuous media
    • J.A. Kołodziej Review of application of boundary collocation methods in mechanics of continuous media Solid Mech Arch 12 1987 187 231
    • (1987) Solid Mech Arch , vol.12 , pp. 187-231
    • Kołodziej, J.A.1
  • 14
    • 84979321117 scopus 로고
    • Uber die naherungsweise Losung einiger Zei-dimensionalier Elastizitatsaufgaben
    • J. Barta Uber die naherungsweise Losung einiger Zei-dimensionalier Elastizitatsaufgaben ZAMM 17 1937 184 185
    • (1937) ZAMM , vol.17 , pp. 184-185
    • Barta, J.1
  • 16
    • 27844539863 scopus 로고
    • Torsion of prismatical rods with isosceles triangle and other cross-sections
    • H.D. Conway Torsion of prismatical rods with isosceles triangle and other cross-sections J Appl Mech 27 1960 209
    • (1960) J Appl Mech , vol.27 , pp. 209
    • Conway, H.D.1
  • 17
    • 84965764540 scopus 로고
    • The approximate analysis of certain boundary value problems
    • H.D. Conway The approximate analysis of certain boundary value problems J Appl Mech 27 1960 275 277
    • (1960) J Appl Mech , vol.27 , pp. 275-277
    • Conway, H.D.1
  • 18
    • 27844606443 scopus 로고
    • The approximate analysis of certain boundary values problems
    • L.I. Deverall The approximate analysis of certain boundary values problems J Appl Mech 28 1961 156 157
    • (1961) J Appl Mech , vol.28 , pp. 156-157
    • Deverall, L.I.1
  • 19
    • 84881286977 scopus 로고
    • The torsion of prismatic bars of regular polygonal cross-section
    • F.W. Niedenfuhr, and A.W. Leissa The torsion of prismatic bars of regular polygonal cross-section J Aerospace Sci 12 1961 194 210
    • (1961) J Aerospace Sci , vol.12 , pp. 194-210
    • Niedenfuhr, F.W.1    Leissa, A.W.2
  • 20
    • 27844585279 scopus 로고
    • Comparative analysis of different collocation methods on the basis of the torsion problem
    • P. Shuleshko Comparative analysis of different collocation methods on the basis of the torsion problem Aust J Appl Sci 12 1961 194 210
    • (1961) Aust J Appl Sci , vol.12 , pp. 194-210
    • Shuleshko, P.1
  • 21
    • 27844445722 scopus 로고
    • The application of Fourier series to the solution of the St. Venant torsion problem
    • A.A. Sherwood The application of Fourier series to the solution of the St. Venant torsion problem Aust J Appl Sci 13 1962 285 299
    • (1962) Aust J Appl Sci , vol.13 , pp. 285-299
    • Sherwood, A.A.1
  • 22
    • 85024548411 scopus 로고
    • Stress concentration in twisted structural beams
    • C.W. Beadle, and H.D. Conway Stress concentration in twisted structural beams J Appl Mech 30 1963 138 141
    • (1963) J Appl Mech , vol.30 , pp. 138-141
    • Beadle, C.W.1    Conway, H.D.2
  • 23
    • 27844489600 scopus 로고
    • The solution of certain isosceles triangle and rhombus torsion and plate problem
    • S.S. Satttinger, and H.D. Conway The solution of certain isosceles triangle and rhombus torsion and plate problem Int J Eng Sci 7 1965 221 228
    • (1965) Int J Eng Sci , vol.7 , pp. 221-228
    • Satttinger, S.S.1    Conway, H.D.2
  • 24
    • 27844514256 scopus 로고
    • Torsion des barres polygonales
    • M.D. Tolley Torsion des barres polygonales Bull Cl Sci Acad Roy Belg LXIII 5 1977 902 912
    • (1977) Bull Cl Sci Acad Roy Belg , vol.63 , Issue.5 , pp. 902-912
    • Tolley, M.D.1
  • 25
    • 27844605506 scopus 로고
    • La méthode des grands éléments finis singuliers: Prinncipe et applications
    • M.D. Tolley La méthode des grands éléments finis singuliers: prinncipe et applications Bull Soc Math Belg 32 ser B 1980 17 28
    • (1980) Bull Soc Math Belg , vol.32 , pp. 17-28
    • Tolley, M.D.1
  • 26
    • 0023541833 scopus 로고
    • Remarks about the boundary collocation method used in solving the boundary value problems concerning torsion prismatic rods
    • J.A. Kołodziej, and G. Musielak Remarks about the boundary collocation method used in solving the boundary value problems concerning torsion prismatic rods Arch Budowy Maszyn 34 1987 111 135 (in Polish)
    • (1987) Arch Budowy Maszyn , vol.34 , pp. 111-135
    • Kołodziej, J.A.1    Musielak, G.2
  • 27
    • 0024931553 scopus 로고
    • Boundary collocation method vs FEM for some harmonic 2-D problems
    • J.A. Kołodziej, and M. Kleiber Boundary collocation method vs FEM for some harmonic 2-D problems Comput Struct 33 1989 155 168
    • (1989) Comput Struct , vol.33 , pp. 155-168
    • Kołodziej, J.A.1    Kleiber, M.2
  • 28
    • 0025252847 scopus 로고
    • Some practical solutions for elastic torsion of bars by charge simulation method
    • M. Okamoto, and T. Sekiya Some practical solutions for elastic torsion of bars by charge simulation method Mech Res Commun 17 1990 47 53
    • (1990) Mech Res Commun , vol.17 , pp. 47-53
    • Okamoto, M.1    Sekiya, T.2
  • 29
    • 0042434692 scopus 로고
    • Torsion of a flattened tube
    • C.Y. Wang Torsion of a flattened tube Meccanica 30 1995 221 227
    • (1995) Meccanica , vol.30 , pp. 221-227
    • Wang, C.Y.1
  • 30
    • 0030214892 scopus 로고    scopus 로고
    • Torsion of an angle bar
    • C.Y. Wang Torsion of an angle bar Mech Struct Mach 24 1996 283 294
    • (1996) Mech Struct Mach , vol.24 , pp. 283-294
    • Wang, C.Y.1
  • 31
    • 0031176341 scopus 로고    scopus 로고
    • On the implementation of a multi-region Trefftz-collocation formulation for 2-D potential problems
    • V.M.A. Leitao On the implementation of a multi-region Trefftz-collocation formulation for 2-D potential problems Eng Anal Bound Elem 20 1997 51 61
    • (1997) Eng Anal Bound Elem , vol.20 , pp. 51-61
    • Leitao, V.M.A.1
  • 32
    • 0020139214 scopus 로고
    • Torsion of multihole circular cylinders
    • A.K. Naghdi Torsion of multihole circular cylinders J Appl Mech 49 1982 432 436
    • (1982) J Appl Mech , vol.49 , pp. 432-436
    • Naghdi, A.K.1
  • 33
    • 0028442554 scopus 로고
    • Torsion of rectangular bars with multiple cylindrical reinforcement or cavities
    • A.K. Naghdi Torsion of rectangular bars with multiple cylindrical reinforcement or cavities J Appl Mech 61 1994 483 487
    • (1994) J Appl Mech , vol.61 , pp. 483-487
    • Naghdi, A.K.1
  • 34
    • 0016103243 scopus 로고
    • Analysis of twisting stiffness for a multifiber composite layer
    • C.W. Bert, and S. Chang Analysis of twisting stiffness for a multifiber composite layer J Appl Mech 41 1974 658 662
    • (1974) J Appl Mech , vol.41 , pp. 658-662
    • Bert, C.W.1    Chang, S.2
  • 35
    • 0016034649 scopus 로고
    • Torsion of composite rhombus cylinder
    • Y.M. Kuo, and H.D. Conway Torsion of composite rhombus cylinder J Appl Mech 41 1974 302 303
    • (1974) J Appl Mech , vol.41 , pp. 302-303
    • Kuo, Y.M.1    Conway, H.D.2
  • 36
    • 0019201897 scopus 로고
    • Torsion of reinforced square cylinder
    • Y.-M. Kou, and H.D. Conway Torsion of reinforced square cylinder J Eng Mech Div, Proc ASCM 106 1980 1341 1347
    • (1980) J Eng Mech Div, Proc ASCM , vol.106 , pp. 1341-1347
    • Kou, Y.-M.1    Conway, H.D.2
  • 37
    • 0031676374 scopus 로고    scopus 로고
    • The torsional response and measurement of the in situ smear moduli of an edge-cracked thick laminate
    • W.C. Liao The torsional response and measurement of the in situ smear moduli of an edge-cracked thick laminate Compos Sci Technol 58 1998 145 154
    • (1998) Compos Sci Technol , vol.58 , pp. 145-154
    • Liao, W.C.1
  • 38
    • 0032637394 scopus 로고    scopus 로고
    • Torsion of polygonal bar with core of different material
    • C.Y. Wang Torsion of polygonal bar with core of different material J Eng Mech Div, Trans ASCE 125 1999 1218 1221
    • (1999) J Eng Mech Div, Trans ASCE , vol.125 , pp. 1218-1221
    • Wang, C.Y.1
  • 39
    • 0141767732 scopus 로고
    • On the torsion of a prismatic cylinder with a regular polygonal cross-section
    • T. Tsumura On the torsion of a prismatic cylinder with a regular polygonal cross-section J Soc Mech Engrs (Tokyo) 36 1933 60 63
    • (1933) J Soc Mech Engrs (Tokyo) , vol.36 , pp. 60-63
    • Tsumura, T.1
  • 40
    • 0141655813 scopus 로고
    • Torsion of beams whose cross-section is a regular polygon of n sides
    • B.R. Seth Torsion of beams whose cross-section is a regular polygon of n sides Proc Camb Phil Soc 30 1934 139 149
    • (1934) Proc Camb Phil Soc , vol.30 , pp. 139-149
    • Seth, B.R.1
  • 42
    • 0141639673 scopus 로고    scopus 로고
    • Torsion of uniform bars with polygon cross-section
    • W.C. Hassenpflug Torsion of uniform bars with polygon cross-section Comput Math Appl 46 2003 313 392
    • (2003) Comput Math Appl , vol.46 , pp. 313-392
    • Hassenpflug, W.C.1
  • 43
    • 0031384821 scopus 로고    scopus 로고
    • Trefftz-type procedure for Laplace equation on domains with circular holes, circular inclusions, corners, slits, and symmetry
    • J.A. Kolodziej, and A. Uscilowska Trefftz-type procedure for Laplace equation on domains with circular holes, circular inclusions, corners, slits, and symmetry Comput Assisted Mech Eng Sci 4 1997 507 519
    • (1997) Comput Assisted Mech Eng Sci , vol.4 , pp. 507-519
    • Kolodziej, J.A.1    Uscilowska, A.2
  • 44
    • 0035263526 scopus 로고    scopus 로고
    • Analytical approximations of the shape factors for conductive heat flow in circular and regular polygonal cross-sections
    • J.A. Kolodziej, and T. Strek Analytical approximations of the shape factors for conductive heat flow in circular and regular polygonal cross-sections Int J Heat Mass Transfer 44 2001 999 1012
    • (2001) Int J Heat Mass Transfer , vol.44 , pp. 999-1012
    • Kolodziej, J.A.1    Strek, T.2
  • 45
    • 0036444062 scopus 로고    scopus 로고
    • Semi-analytical approximations of the laminar friction coefficients for flow in conduits with polygonal cross-section
    • J.A. Kolodziej, A. Uscilowska, and M. Cialkowski Semi-analytical approximations of the laminar friction coefficients for flow in conduits with polygonal cross-section Acta Mech 158 2002 127 144
    • (2002) Acta Mech , vol.158 , pp. 127-144
    • Kolodziej, J.A.1    Uscilowska, A.2    Cialkowski, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.