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Volumn 49, Issue 3, 2001, Pages 445-467

Analytical solutions and numerical procedures for minimum-weight Michell structures

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; STRUCTURAL ANALYSIS;

EID: 0034818164     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(00)00053-3     Document Type: Article
Times cited : (28)

References (24)
  • 1
    • 0042716244 scopus 로고    scopus 로고
    • Steady planar streamlined plastic flows: General and special analytical solutions
    • Rimrott, F.P.J., Schwaighofer, J. (Eds.), Balkema, Rotterdam
    • Alexandrov, S., 1999. Steady planar streamlined plastic flows: general and special analytical solutions. In: Rimrott, F.P.J., Schwaighofer, J. (Eds.), The Integration of Material, Process and Product Design, Balkema, Rotterdam, pp. 103-110.
    • (1999) The Integration of Material, Process and Product Design , pp. 103-110
    • Alexandrov, S.1
  • 2
    • 85031488766 scopus 로고
    • Cited by Newell, 1997
    • Bell, C., 1834. Cited by Newell, 1997, p. 31.
    • (1834) , pp. 31
    • Bell, C.1
  • 5
    • 0342762110 scopus 로고
    • The algebraic geometry of slip-line fields with applications to boundary value problems
    • Collins, I.F., 1968. The algebraic geometry of slip-line fields with applications to boundary value problems. Proc. Roy. Soc. Ser. A 303, 317-338.
    • (1968) Proc. Roy. Soc. Ser. A , vol.303 , pp. 317-338
    • Collins, I.F.1
  • 6
    • 0017957840 scopus 로고
    • On the non-uniqueness of the machining process
    • Dewhurst, P., 1978. On the non-uniqueness of the machining process. Proc. Roy. Soc. Ser. A 360, 587-610.
    • (1978) Proc. Roy. Soc. Ser. A , vol.360 , pp. 587-610
    • Dewhurst, P.1
  • 7
    • 0021850947 scopus 로고
    • A general matrix operator for linear boundary value problems in slip-line field theory
    • Dewhurst, P., 1985. A general matrix operator for linear boundary value problems in slip-line field theory. Int. J. Numer. Methods Engng. 21, 169-182.
    • (1985) Int. J. Numer. Methods Engng. , vol.21 , pp. 169-182
    • Dewhurst, P.1
  • 8
    • 0015723591 scopus 로고
    • A matrix technique for constructing slip-line field solutions to a class of plane strain plasticity problems
    • Dewhurst, P., Collins, I.F., 1973. A matrix technique for constructing slip-line field solutions to a class of plane strain plasticity problems. Int. J. Numer. Methods Engng. 7, 357-378.
    • (1973) Int. J. Numer. Methods Engng. , vol.7 , pp. 357-378
    • Dewhurst, P.1    Collins, I.F.2
  • 9
    • 0001230541 scopus 로고
    • A series-method for constructing plastic slipline fields
    • Ewing, D.J.F., 1967. A series-method for constructing plastic slipline fields. J. Mech. Phys. Solids 15, 105-114.
    • (1967) J. Mech. Phys. Solids , vol.15 , pp. 105-114
    • Ewing, D.J.F.1
  • 10
    • 0033187557 scopus 로고    scopus 로고
    • A "Second Law" for structures: An insightful approach to the design of plane frames
    • French, M.J., 1999. A "Second Law" for structures: an insightful approach to the design of plane frames. ASME J. Appl. Mech. 66, 738-741.
    • (1999) ASME J. Appl. Mech. , vol.66 , pp. 738-741
    • French, M.J.1
  • 11
    • 0013060227 scopus 로고
    • On the use of hodographs in problems of plane plastic strain
    • Green, A.P., 1954. On the use of hodographs in problems of plane plastic strain. J. Mech. Phys. Solids 16, 267-276.
    • (1954) J. Mech. Phys. Solids , vol.16 , pp. 267-276
    • Green, A.P.1
  • 15
    • 84942607001 scopus 로고
    • A method of numerical analysis of plastic flow in plane strain and its application to the compression of a ductile material between rough plates
    • Hill, R., Lee, E.H., Tupper, C.L., 1951. A method of numerical analysis of plastic flow in plane strain and its application to the compression of a ductile material between rough plates. Trans. ASME, J. Appl. Mech. 18, 46-52.
    • (1951) Trans. ASME, J. Appl. Mech. , vol.18 , pp. 46-52
    • Hill, R.1    Lee, E.H.2    Tupper, C.L.3
  • 16
    • 0013110412 scopus 로고
    • An analogy between upper-bound solutions for plane-strain metal working and minimum-weight two-dimensional frames
    • Johnson, W., 1961. An analogy between upper-bound solutions for plane-strain metal working and minimum-weight two-dimensional frames. Int. J. Mech. Sci. 3, 239-246.
    • (1961) Int. J. Mech. Sci. , vol.3 , pp. 239-246
    • Johnson, W.1
  • 17
    • 0015082212 scopus 로고
    • The displacement field and its significance for certain minimum-weight two-dimensional frames using the analogy with perfectly plastic flow in metal working
    • Johnson, W., Chitkara, N.R., Reid, S.R., Collins, I.F., 1971. The displacement field and its significance for certain minimum-weight two-dimensional frames using the analogy with perfectly plastic flow in metal working. Int. J. Mech. Sci. 13, 547-561.
    • (1971) Int. J. Mech. Sci. , vol.13 , pp. 547-561
    • Johnson, W.1    Chitkara, N.R.2    Reid, S.R.3    Collins, I.F.4
  • 19
    • 0014895242 scopus 로고
    • Optimal design of disks subject to geometric constraints
    • Kozlowski, W., Mroz, Z., 1970. Optimal design of disks subject to geometric constraints. Int. J. Mech. Sci. 12, 1007-1021.
    • (1970) Int. J. Mech. Sci. , vol.12 , pp. 1007-1021
    • Kozlowski, W.1    Mroz, Z.2
  • 20
    • 0001694169 scopus 로고
    • Limits of economy of material in frame-structures
    • Michell, A.G.M., 1904. Limits of economy of material in frame-structures. Philos. Mag. 6 (847), 589-597.
    • (1904) Philos. Mag. , vol.6 , Issue.847 , pp. 589-597
    • Michell, A.G.M.1
  • 21
    • 0031030596 scopus 로고    scopus 로고
    • The Calcar femorale: A tale of historical neglect
    • Newell, R.L.M., 1997. The Calcar femorale: a tale of historical neglect. Clin. Anat. 10, 27-33.
    • (1997) Clin. Anat. , vol.10 , pp. 27-33
    • Newell, R.L.M.1
  • 22
    • 0001190644 scopus 로고
    • Practical application of the Hencky equation to plastic equilibrium
    • Prandtl, L., 1921. Practical application of the Hencky equation to plastic equilibrium. Z. Angew. Math. Mech. 3, 401-413.
    • (1921) Z. Angew. Math. Mech. , vol.3 , pp. 401-413
    • Prandtl, L.1
  • 23
    • 0001993373 scopus 로고
    • Theory of Streamlined Dies for Drawing and Extrusion
    • University of Toronto Press
    • Richmond, O., 1968. Theory of Streamlined Dies for Drawing and Extrusion. Mechanics of the Solid State, University of Toronto Press, 154-167.
    • (1968) Mechanics of the Solid State , pp. 154-167
    • Richmond, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.