메뉴 건너뛰기




Volumn 58, Issue 1, 1997, Pages 217-249

Biharmonic problem in a rectangle

Author keywords

Biharmonic equation; Creeping stokes flows; Method of superposition; Rectangle

Indexed keywords


EID: 53249092236     PISSN: 13866184     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (116)
  • 1
  • 2
    • 0003732186 scopus 로고
    • Over een vereenvoudiging en over een uitbreiding van de methode van Ritz
    • Biezeno, C.B., Over een vereenvoudiging en over een uitbreiding van de methode van Ritz. Christiaan Huygens 3 (1924) 69-75.
    • (1924) Christiaan Huygens , vol.3 , pp. 69-75
    • Biezeno, C.B.1
  • 3
    • 0003854984 scopus 로고
    • Graphical and numerical methods for solving stress problems
    • Biezeno, C.B. and Burgers, J.M. (eds), Waltman, Delft
    • Biezeno, C.B., Graphical and numerical methods for solving stress problems. In: Biezeno, C.B. and Burgers, J.M. (eds), Proc. First Intern. Congress for Applied Mechanics. Waltman, Delft (1925) pp. 3-17.
    • (1925) Proc. First Intern. Congress for Applied Mechanics , pp. 3-17
    • Biezeno, C.B.1
  • 4
    • 0003030984 scopus 로고
    • On the stresses in a ship's bottom plating due to water pressure
    • Boobnoff, I.G., On the stresses in a ship's bottom plating due to water pressure. Trans. Inst. Nav. Archit. 44 (1902) 15-52.
    • (1902) Trans. Inst. Nav. Archit. , vol.44 , pp. 15-52
    • Boobnoff, I.G.1
  • 5
    • 2342522518 scopus 로고
    • On the theory of thin plating, and its applicability to calculations of the strength of bulkhead plating and similar structures
    • Bryan, G.H., On the theory of thin plating, and its applicability to calculations of the strength of bulkhead plating and similar structures. Trans. Inst. Nav. Archit. 35 (1894) 113-125.
    • (1894) Trans. Inst. Nav. Archit. , vol.35 , pp. 113-125
    • Bryan, G.H.1
  • 6
    • 0003734512 scopus 로고
    • Stresses in the bottom plating of ship due to water pressure
    • Bubnov, I.G., Stresses in the bottom plating of ship due to water pressure. Morsk. Sb. 312(10) (1902) 119-138.
    • (1902) Morsk. Sb. , vol.312 , Issue.10 , pp. 119-138
    • Bubnov, I.G.1
  • 7
    • 53249146857 scopus 로고
    • GITTL, Moscow in Russian
    • Also in: Researches on the Plate Theory. GITTL, Moscow (1953) pp. 61-80 [in Russian].
    • (1953) Researches on the Plate Theory , pp. 61-80
  • 9
    • 2342449833 scopus 로고
    • Referee report on the memoir by Professor Timoshenko "On the stability of elastic systems" crowned by the D.I. Zhuravskii prize
    • Bubnov, I.G., Referee report on the memoir by Professor Timoshenko "On the stability of elastic systems" crowned by the D.I. Zhuravskii prize. Sb. Inst. Inzh. Put. Soobshch. 81 (1913) 33-36.
    • (1913) Sb. Inst. Inzh. Put. Soobshch. , vol.81 , pp. 33-36
    • Bubnov, I.G.1
  • 10
    • 2342647335 scopus 로고
    • Sudpromgiz, Leningrad in Russian
    • Also in: Selected Papers. Sudpromgiz, Leningrad (1956) pp. 136-139 [in Russian].
    • (1956) Selected Papers , pp. 136-139
  • 11
    • 2342568275 scopus 로고
    • Naval Academy Press, St. Petersburg in Russian
    • Bubnov, I.G., Structural Mechanics of a Ship, Vol. 2. Naval Academy Press, St. Petersburg (1914) [in Russian].
    • (1914) Structural Mechanics of A Ship , vol.2
    • Bubnov, I.G.1
  • 13
    • 13444253408 scopus 로고
    • The influence of surface-loading on the flexure of beams
    • Carus Wilson, C.A., The influence of surface-loading on the flexure of beams. Philos. Mag., ser. 5 32 (1891) 481-503.
    • (1891) Philos. Mag., Ser. 5 , vol.32 , pp. 481-503
    • Carus Wilson, C.A.1
  • 14
    • 2342484898 scopus 로고
    • A new approach to the design of plates to withstand lateral pressure
    • Clarckson, J., A new approach to the design of plates to withstand lateral pressure. Trans. Inst. Nav. Archit. 98 (1958) 443-463.
    • (1958) Trans. Inst. Nav. Archit. , vol.98 , pp. 443-463
    • Clarckson, J.1
  • 16
    • 84958735198 scopus 로고
    • On the steady motion of viscous liquid in a corner
    • Dean, W.R. and Montagnon, P.E., On the steady motion of viscous liquid in a corner. Proc. Cambridge Philos. Soc. 45 (1949) 389-395.
    • (1949) Proc. Cambridge Philos. Soc. , vol.45 , pp. 389-395
    • Dean, W.R.1    Montagnon, P.E.2
  • 17
    • 0003921705 scopus 로고
    • The problem of the rectangular plate
    • Dixon, A.C., The problem of the rectangular plate. J. London Math. Soc. 9 (1934) 61-74.
    • (1934) J. London Math. Soc. , vol.9 , pp. 61-74
    • Dixon, A.C.1
  • 18
    • 84958476757 scopus 로고
    • An analytical theory of the equilibrium of an isotropic elastic plate
    • Dougall, J., An analytical theory of the equilibrium of an isotropic elastic plate. Trans. R. Soc. Edinburgh 41 (1904) 129-228.
    • (1904) Trans. R. Soc. Edinburgh , vol.41 , pp. 129-228
    • Dougall, J.1
  • 19
    • 0043252306 scopus 로고
    • Die Selbstspannungs-Eigenwertfunktionen der quadratischen Scheibe
    • Fadle, J., Die Selbstspannungs-Eigenwertfunktionen der quadratischen Scheibe. Ing. Archiv 11 (1940) 125-148.
    • (1940) Ing. Archiv , vol.11 , pp. 125-148
    • Fadle, J.1
  • 20
    • 0002417785 scopus 로고
    • On an approximate solution for the bending of a beam of rectangular cross-section under any system of load, with special references to points of concentrated or discontinuous loading
    • Filon, L.N.G., On an approximate solution for the bending of a beam of rectangular cross-section under any system of load, with special references to points of concentrated or discontinuous loading. Philos. Trans. R. Soc. Lond., ser. A 201 (1903) 63-155.
    • (1903) Philos. Trans. R. Soc. Lond., Ser. A , vol.201 , pp. 63-155
    • Filon, L.N.G.1
  • 21
    • 84960571223 scopus 로고
    • On the expansion of polynomials in series of functions
    • Filon, L.N.G., On the expansion of polynomials in series of functions. Proc. London Math. Soc., ser. 2 4 (1907) 396-430.
    • (1907) Proc. London Math. Soc., Ser. 2 , vol.4 , pp. 396-430
    • Filon, L.N.G.1
  • 22
    • 2442713171 scopus 로고
    • Gillispie, C.C. (ed.), Scribner's Sons, New York
    • Forman, P., Ritz, Walter. In: Gillispie, C.C. (ed.), Dictionary Scientific Biography, Vol. XI. Scribner's Sons, New York (1975) pp. 475-481.
    • (1975) Dictionary Scientific Biography , vol.11 , pp. 475-481
    • Forman, P.1    Ritz, W.2
  • 25
    • 2342629800 scopus 로고
    • Rectangular plates supported by edges
    • Galerkin, B.G., Rectangular plates supported by edges. Izv. S-Peters Politekh. Inst. 24(1) (1915) 219-282.
    • (1915) Izv. S-Peters Politekh. Inst. , vol.24 , Issue.1 , pp. 219-282
    • Galerkin, B.G.1
  • 26
    • 2342532246 scopus 로고
    • Acad. Sci. USSR, Moscow in Russian
    • Also in: Collected Papers, Vol. 2. Acad. Sci. USSR, Moscow (1953) pp. 3-42 [in Russian].
    • (1953) Collected Papers , vol.2 , pp. 3-42
  • 27
    • 0000407419 scopus 로고
    • Rods and plates
    • Galerkin, B.G., Rods and plates. Vest. Inzh. 1(19) (1915) 897-908.
    • (1915) Vest. Inzh. , vol.1 , Issue.19 , pp. 897-908
    • Galerkin, B.G.1
  • 28
    • 2342597617 scopus 로고
    • Acad. Sci. USSR, Moscow in Russian
    • Also in: Collected Papers, Vol. 1. Acad. Sci. USSR, Moscow (1952) pp. 168-195 [in Russian].
    • (1952) Collected Papers , vol.1 , pp. 168-195
  • 29
    • 13444299316 scopus 로고
    • The rectangle, under general equilibrium loading, in generalized plane stress
    • Gaydon, F.A., The rectangle, under general equilibrium loading, in generalized plane stress. Proc. R. Soc. Lond., ser. A 283 (1965) 356-378.
    • (1965) Proc. R. Soc. Lond., Ser. A , vol.283 , pp. 356-378
    • Gaydon, F.A.1
  • 30
    • 13444307937 scopus 로고
    • Elastostatik
    • Geiger, H. and Scheel, K. (eds), Springer-Verlag, Berlin
    • Geckeler, J.W., Elastostatik. In: Geiger, H. and Scheel, K. (eds), Handbuch der Physik, Vol. VI. Springer-Verlag, Berlin (1928) pp. 141-297.
    • (1928) Handbuch der Physik , vol.6 , pp. 141-297
    • Geckeler, J.W.1
  • 32
    • 0022960444 scopus 로고
    • Filon's method of series expansion of functions in homogeneous solutions in problem of elasticity
    • Gomilko, A.M. and Meleshko, V.V., Filon's method of series expansion of functions in homogeneous solutions in problem of elasticity. Mech. Solids 21(4) (1986) 49-55.
    • (1986) Mech. Solids , vol.21 , Issue.4 , pp. 49-55
    • Gomilko, A.M.1    Meleshko, V.V.2
  • 33
    • 0000921255 scopus 로고
    • An analogy between the slow motion of a viscous fluid in two dimensions, and systems of plane stress
    • Goodier, J.N., An analogy between the slow motion of a viscous fluid in two dimensions, and systems of plane stress. Philos. Mag., ser. 7 17 (1934) 554-576.
    • (1934) Philos. Mag., Ser. 7 , vol.17 , pp. 554-576
    • Goodier, J.N.1
  • 36
    • 0021398742 scopus 로고
    • yy(0, y) are prescribed
    • yy(0, y) are prescribed. J. Elasticity 14 (1984) 27-64.
    • (1984) J. Elasticity , vol.14 , pp. 27-64
    • Gregory, R.D.1
  • 38
    • 53249093435 scopus 로고    scopus 로고
    • Ivan Grigor'evich Bubnov. on the 125th anniversary of his birth, 6(18) January 1872-13 March 1919
    • Grigolyuk, E.I., Ivan Grigor'evich Bubnov. On the 125th anniversary of his birth, 6(18) January 1872-13 March 1919. J. Appl. Math. Mech. 61 (1997) 173-176.
    • (1997) J. Appl. Math. Mech. , vol.61 , pp. 173-176
    • Grigolyuk, E.I.1
  • 39
    • 0001352943 scopus 로고
    • On a method applied by P.F. Papkovich for the solution of the plane problem of the theory of elasticity for a rectangular region and of problem of bending of a rectangular thin plate with two clamped edges, and on some of its generalizations
    • in Russian
    • Grinberg, G.A., On a method applied by P.F. Papkovich for the solution of the plane problem of the theory of elasticity for a rectangular region and of problem of bending of a rectangular thin plate with two clamped edges, and on some of its generalizations. Prikl. Mat. Mekh. 17 (1953) 211-228 [in Russian].
    • (1953) Prikl. Mat. Mekh. , vol.17 , pp. 211-228
    • Grinberg, G.A.1
  • 40
    • 2342473143 scopus 로고
    • (English abstract in: Math. Rev. 14 (1953) 1143.)
    • (1953) Math. Rev. , vol.14 , pp. 1143
  • 41
    • 0011810098 scopus 로고
    • Mémoire sur le problème d'analyse relatif à l'équilibre des plaques élastiques encastrées
    • Hadamard, J., Mémoire sur le problème d'analyse relatif à l'équilibre des plaques élastiques encastrées. Mém. Savants Étrang., ser. 2 33(4) (1907) 1-128.
    • (1907) Mém. Savants Étrang., Ser. 2 , vol.33 , Issue.4 , pp. 1-128
    • Hadamard, J.1
  • 42
    • 0039198327 scopus 로고
    • CNRS, Paris
    • Also in: Œuvres de Jacques Hadamard, tome 2. CNRS, Paris (1968) pp. 515-641.
    • (1968) ŒUvres de Jacques Hadamard , vol.2 , pp. 515-641
  • 45
    • 0018929561 scopus 로고
    • Stokeslets and eddies in creeping flow
    • Hasimoto, H. and Sano, O., Stokeslets and eddies in creeping flow. Annu. Rev. Fluid Mech. 12 (1980) 335-363.
    • (1980) Annu. Rev. Fluid Mech. , vol.12 , pp. 335-363
    • Hasimoto, H.1    Sano, O.2
  • 47
    • 13444287083 scopus 로고
    • Über ein einfaches Näherungsverfahren zur Bestimmung des Spannungszustandes in rechteckig begrenzten Scheiben, auf deren Umfang nur Normalspannungen wirken
    • Föppl, O., Föppl, L., Prandtl, L. and Thoma, H. (eds), Springer-Verlag, Berlin
    • Hencky, H., Über ein einfaches Näherungsverfahren zur Bestimmung des Spannungszustandes in rechteckig begrenzten Scheiben, auf deren Umfang nur Normalspannungen wirken. In: Föppl, O., Föppl, L., Prandtl, L. and Thoma, H. (eds), Beiträge zur technischen Mechanik und technischen Physik. August Föppl zum 70en Geburtstage. Springer-Verlag, Berlin (1924) pp. 62-73.
    • (1924) Beiträge Zur Technischen Mechanik und Technischen Physik. August Föppl Zum 70en Geburtstage , pp. 62-73
    • Hencky, H.1
  • 48
    • 0003734024 scopus 로고
    • Stresses in rectangular plates clamped at their edges and loaded with a uniformly distributed pressure
    • Inglis, C.E., Stresses in rectangular plates clamped at their edges and loaded with a uniformly distributed pressure. Trans. Inst. Nav. Archit. 67 (1925) 147-165.
    • (1925) Trans. Inst. Nav. Archit. , vol.67 , pp. 147-165
    • Inglis, C.E.1
  • 49
    • 2342570163 scopus 로고
    • Solid body mechanics in relation to mechanical engineering
    • Inglis, C., Solid body mechanics in relation to mechanical engineering. Proc. Inst. Mech. Engrs 157 (1947) 271-274.
    • (1947) Proc. Inst. Mech. Engrs , vol.157 , pp. 271-274
    • Inglis, C.1
  • 50
    • 0001135113 scopus 로고
    • Plane stress and plane strain in bipolar co-ordinates
    • Jeffery, G.B., Plane stress and plane strain in bipolar co-ordinates. Philos. Trans. R. Soc. Lond., ser. A 221 (1920) 265-293.
    • (1920) Philos. Trans. R. Soc. Lond., Ser. A , vol.221 , pp. 265-293
    • Jeffery, G.B.1
  • 51
    • 0018911793 scopus 로고
    • Streamline patterns and eddies in low-Reynolds-number flow
    • Jeffrey, D.J. and Sherwood, J.D., Streamline patterns and eddies in low-Reynolds-number flow. J. Fluid Mech. 96 (1980) 315-334.
    • (1980) J. Fluid Mech. , vol.96 , pp. 315-334
    • Jeffrey, D.J.1    Sherwood, J.D.2
  • 52
    • 0017913921 scopus 로고
    • The convergence of biorthogonal series for biharmonic and Stokes flow edge problems: Part II
    • Joseph, D.D. and Sturgers, L., The convergence of biorthogonal series for biharmonic and Stokes flow edge problems: Part II. SIAM J. Appl. Math. 34 (1978) 7-26.
    • (1978) SIAM J. Appl. Math. , vol.34 , pp. 7-26
    • Joseph, D.D.1    Sturgers, L.2
  • 53
    • 0001517228 scopus 로고
    • Convergence of biorthogonal series of biharmonic eigenfunctions by the method of Titchmarsh
    • Joseph, D.D., Sturgers, L. and Warner, W.H., Convergence of biorthogonal series of biharmonic eigenfunctions by the method of Titchmarsh. Arch. Rat. Mech. Anal. 78 (1982) 229-279.
    • (1982) Arch. Rat. Mech. Anal. , vol.78 , pp. 229-279
    • Joseph, D.D.1    Sturgers, L.2    Warner, W.H.3
  • 56
    • 2342623889 scopus 로고
    • (German abstract in Jahrb. Fortschr. Math. 26 (1895) 365-369.)
    • (1895) Jahrb. Fortschr. Math. , vol.26 , pp. 365-369
  • 58
    • 2342482941 scopus 로고
    • (German abstract in Jahrb. Fortschr. Math. 33 (1902) 367-368.)
    • (1902) Jahrb. Fortschr. Math. , vol.33 , pp. 367-368
  • 59
    • 0141625579 scopus 로고
    • Studies on infinite systems of linear equations
    • in Russian
    • Koialovich, B.M., Studies on infinite systems of linear equations. Izv. Fiz.-Mat. Inst. Steklova 3 (1930) 41-167 [in Russian].
    • (1930) Izv. Fiz.-Mat. Inst. Steklova , vol.3 , pp. 41-167
    • Koialovich, B.M.1
  • 60
    • 2342653375 scopus 로고
    • Sur l'équilibre des plaques élastiques encastrées
    • Korn, A., Sur l'équilibre des plaques élastiques encastrées. Ann. Sci. Ec. Norm. Super., ser. 3 25 (1908) 529-583.
    • (1908) Ann. Sci. Ec. Norm. Super., Ser. 3 , vol.25 , pp. 529-583
    • Korn, A.1
  • 62
    • 2342516618 scopus 로고
    • A survey of published work on the deflection of and stress in flat plates subject to hydrostatic loading
    • Lamble, J.H. and Shing, L., A survey of published work on the deflection of and stress in flat plates subject to hydrostatic loading. Trans. Inst. Nav. Archit. 89 (1947) 128-147.
    • (1947) Trans. Inst. Nav. Archit. , vol.89 , pp. 128-147
    • Lamble, J.H.1    Shing, L.2
  • 63
    • 13444311191 scopus 로고
    • Support reactions, stresses, and deflections for plates subjected to uniform transverse loading
    • Lamble, J.H. and Choudhary, J.P., Support reactions, stresses, and deflections for plates subjected to uniform transverse loading. Trans. Inst. Nav. Archit. 95 (1953) 329-349.
    • (1953) Trans. Inst. Nav. Archit. , vol.95 , pp. 329-349
    • Lamble, J.H.1    Choudhary, J.P.2
  • 66
    • 0005146728 scopus 로고
    • Sur l'intégration de l'équation relative à l'équilibre des plaques élastiques encastrées
    • Lauricella, G., Sur l'intégration de l'équation relative à l'équilibre des plaques élastiques encastrées. Acta Math. 32 (1909) 201-256.
    • (1909) Acta Math. , vol.32 , pp. 201-256
    • Lauricella, G.1
  • 68
    • 0003921703 scopus 로고
    • Biharmonic analysis, especially in a rectangle, and its application to the theory of elasticity
    • Love, A.E.H., Biharmonic analysis, especially in a rectangle, and its application to the theory of elasticity. J. London Math. Soc. 3 (1928) 144-156.
    • (1928) J. London Math. Soc. , vol.3 , pp. 144-156
    • Love, A.E.H.1
  • 69
    • 0000498630 scopus 로고
    • On the theory of thick plates
    • in Russian
    • Lur'e, A.I., On the theory of thick plates. Prikl. Mat. Mekh. 6 (1942) 151-168 [in Russian].
    • (1942) Prikl. Mat. Mekh. , vol.6 , pp. 151-168
    • Lur'e, A.I.1
  • 71
    • 0010707680 scopus 로고
    • Mémoire sur l'équation aux différences partielles du quatriéme ordre ΔΔu = 0, et sur l'équilibre d'élasticité d'un corps solide
    • Mathieu, E., Mémoire sur l'équation aux différences partielles du quatriéme ordre ΔΔu = 0, et sur l'équilibre d'élasticité d'un corps solide. J. Math. Pures Appl., ser. 2 14 (1869) 378-421.
    • (1869) J. Math. Pures Appl., Ser. 2 , vol.14 , pp. 378-421
    • Mathieu, E.1
  • 72
    • 13444271394 scopus 로고
    • Sur l'équilibre d'élasticité d'un prisme rectangle
    • Mathieu, E., Sur l'équilibre d'élasticité d'un prisme rectangle. C. R. Acad. Sci. Paris 90 (1890) 1272-1274.
    • (1890) C. R. Acad. Sci. Paris , vol.90 , pp. 1272-1274
    • Mathieu, E.1
  • 73
    • 1542562020 scopus 로고
    • Mémoire sur l'équilibre d'élasticité d'un prisme rectangle
    • Mathieu, E., Mémoire sur l'équilibre d'élasticité d'un prisme rectangle. J. Ec. Polytéch. 30 (1881) 173-196.
    • (1881) J. Ec. Polytéch. , vol.30 , pp. 173-196
    • Mathieu, E.1
  • 75
    • 13444251930 scopus 로고
    • Report on a paper by George Biddel Airy on stress in beams
    • Harman, P.M. (ed.), Cambridge University Press, Cambridge
    • Maxwell, J.C., Report on a paper by George Biddel Airy on stress in beams. In: Harman, P.M. (ed.), The Scientific Letters and Papers of James Clerk Maxwell, Vol. II. Cambridge University Press, Cambridge (1995) pp. 62-69.
    • (1995) The Scientific Letters and Papers of James Clerk Maxwell , vol.2 , pp. 62-69
    • Maxwell, J.C.1
  • 76
    • 13444276837 scopus 로고
    • On reciprocal diagrams in space, and their relation to Airy's function of stress
    • Maxwell, J.C., On reciprocal diagrams in space, and their relation to Airy's function of stress. Proc. London Math. Soc. 2 (1868) 102-105.
    • (1868) Proc. London Math. Soc. , vol.2 , pp. 102-105
    • Maxwell, J.C.1
  • 77
    • 0029368411 scopus 로고
    • Equilibrium of elastic rectangle: Mathieu-Inglis-Pickett solution revisited
    • Meleshko, V.V., Equilibrium of elastic rectangle: Mathieu-Inglis-Pickett solution revisited. J. Elasticity 40 (1995) 207-238.
    • (1995) J. Elasticity , vol.40 , pp. 207-238
    • Meleshko, V.V.1
  • 78
    • 0030474968 scopus 로고    scopus 로고
    • Steady Stokes flow in a rectangular cavity
    • Meleshko, V.V., Steady Stokes flow in a rectangular cavity. Proc. R. Soc. Lond., ser. A 452 (1996) 1999-2022.
    • (1996) Proc. R. Soc. Lond., Ser. A , vol.452 , pp. 1999-2022
    • Meleshko, V.V.1
  • 79
    • 0031378720 scopus 로고    scopus 로고
    • Bending of an elastic rectangular clamped plate: Exact versus 'engineering' solutions
    • Meleshko, V.V., Bending of an elastic rectangular clamped plate: Exact versus 'engineering' solutions. J. Elasticity 48 (1997) 1-51.
    • (1997) J. Elasticity , vol.48 , pp. 1-51
    • Meleshko, V.V.1
  • 80
    • 0001673628 scopus 로고    scopus 로고
    • Infinite systems for a biharmonic problem in a rectangle
    • Meleshko, V.V. and Gomilko, A.M., Infinite systems for a biharmonic problem in a rectangle. Proc. R. Soc. Lond., ser. A 453 (1997) 2139-2160.
    • (1997) Proc. R. Soc. Lond., Ser. A , vol.453 , pp. 2139-2160
    • Meleshko, V.V.1    Gomilko, A.M.2
  • 81
    • 0017496511 scopus 로고
    • The separation of Stokes flows
    • Michael, D.H. and O'Neill, M.E., The separation of Stokes flows. J. Fluid Mech. 80 (1977) 785-794.
    • (1977) J. Fluid Mech. , vol.80 , pp. 785-794
    • Michael, D.H.1    O'Neill, M.E.2
  • 83
    • 77952889884 scopus 로고
    • Viscous and resistive eddies near a sharp corner
    • Moffatt, H.K., Viscous and resistive eddies near a sharp corner. J. Fluid Mech. 18 (1964) 1-18.
    • (1964) J. Fluid Mech. , vol.18 , pp. 1-18
    • Moffatt, H.K.1
  • 84
    • 2342534286 scopus 로고
    • Stress determination in a flat plate
    • Montgomerie, J., Stress determination in a flat plate. Trans. Inst. Nav. Archit. 59 (1917) 33-48.
    • (1917) Trans. Inst. Nav. Archit. , vol.59 , pp. 33-48
    • Montgomerie, J.1
  • 87
    • 2342461541 scopus 로고
    • Über eine Form der Lösung des biharmonischen Problems für das Rechteck
    • Papkovitsch, P.F., Über eine Form der Lösung des biharmonischen Problems für das Rechteck. C. R. (Dokl) Akad. Nauk SSSR 27 (1940) 334-338.
    • (1940) C. R. (Dokl) Akad. Nauk SSSR , vol.27 , pp. 334-338
    • Papkovitsch, P.F.1
  • 88
    • 2342505061 scopus 로고
    • (German abstract in: Jahrb. Fortschr. Math. 66 (1940) 453.
    • (1940) Jahrb. Fortschr. Math. , vol.66 , pp. 453
  • 89
    • 2342597618 scopus 로고
    • English abstract in: Math. Rev. 2 (1941) 332.)
    • (1941) Math. Rev. , vol.2 , pp. 332
  • 90
    • 0005586226 scopus 로고
    • Two questions of the theory of bending of thin elastic plates
    • in Russian
    • Papkovich, P.E., Two questions of the theory of bending of thin elastic plates. Prikl. Mat. Mekh. 5 (1941) 359-374 [in Russian].
    • (1941) Prikl. Mat. Mekh. , vol.5 , pp. 359-374
    • Papkovich, P.E.1
  • 91
    • 53249137524 scopus 로고
    • (English abstract in: Math. Rev. 4 (1943) 230.)
    • (1943) Math. Rev. , vol.4 , pp. 230
  • 93
    • 2342568262 scopus 로고
    • La flexion d'une plaque mince
    • in Russian, with French summary
    • Pistriakoff, D., La flexion d'une plaque mince. Izv. Kiev. Politekh. Inst. 10 (1910) 311-373 [in Russian, with French summary].
    • (1910) Izv. Kiev. Politekh. Inst. , vol.10 , pp. 311-373
    • Pistriakoff, D.1
  • 94
    • 2342641372 scopus 로고
    • On the relation of the generalized orthogonality of P.F. Papkovich for rectangular plates
    • Prokopov, V.K., On the relation of the generalized orthogonality of P.F. Papkovich for rectangular plates. J. Appl. Math. Mech. 28 (1964) 428-439.
    • (1964) J. Appl. Math. Mech. , vol.28 , pp. 428-439
    • Prokopov, V.K.1
  • 95
    • 0000573911 scopus 로고
    • On the flow of viscous liquids, especially in two dimensions
    • Rayleigh, Lord, On the flow of viscous liquids, especially in two dimensions. Philos. Mag., ser. 5 36 (1893) 354-372.
    • (1893) Philos. Mag., Ser. 5 , vol.36 , pp. 354-372
    • Rayleigh, L.1
  • 96
    • 0344866153 scopus 로고
    • Hydrodynamical notes
    • Rayleigh, Lord, Hydrodynamical notes. Philos. Mag., ser. 6 21 (1911) 177-195.
    • (1911) Philos. Mag., Ser. 6 , vol.21 , pp. 177-195
    • Rayleigh, L.1
  • 99
    • 0346499814 scopus 로고
    • Über eine neue Methode zur Lösung gewisser Randwertaufgaben
    • Ritz, W., Über eine neue Methode zur Lösung gewisser Randwertaufgaben. Nachr. K. Ges. Wiss. Göttingen. Math.-Phys. Kl. (1908) 236-248.
    • (1908) Nachr. K. Ges. Wiss. Göttingen. Math.-Phys. Kl. , pp. 236-248
    • Ritz, W.1
  • 100
    • 0343262489 scopus 로고
    • Über eine neue Methode zur Lösung gewisser Variationsprobleme der mathematischen Physik
    • Ritz, W., Über eine neue Methode zur Lösung gewisser Variationsprobleme der mathematischen Physik. J. reine angew. Math. 135 (1909) 1-61.
    • (1909) J. Reine Angew. Math. , vol.135 , pp. 1-61
    • Ritz, W.1
  • 101
    • 0003733146 scopus 로고
    • Gauthier-Villars, Paris
    • Ritz, W., Œuvres. Gauthier-Villars, Paris (1911).
    • (1911) ŒUvres
    • Ritz, W.1
  • 102
    • 0027386854 scopus 로고
    • The eddy structure in Stokes flow in a cavity
    • Shankar, P.N., The eddy structure in Stokes flow in a cavity. J. Fluid Mech. 250 (1993) 371-383.
    • (1993) J. Fluid Mech. , vol.250 , pp. 371-383
    • Shankar, P.N.1
  • 103
    • 2342461540 scopus 로고
    • Ein Beitrag zur Berechnung der rechteckigen Platten
    • Simič, J., Ein Beitrag zur Berechnung der rechteckigen Platten. Z. Österreich. Ing. Architekt.-Verein. 60 (1908) 709-714.
    • (1908) Z. Österreich. Ing. Architekt.-Verein. , vol.60 , pp. 709-714
    • Simič, J.1
  • 104
    • 0003135912 scopus 로고
    • A class of biharmonic end-strip problems arising in elasticity and Stokes flow
    • Spence, D.A., A class of biharmonic end-strip problems arising in elasticity and Stokes flow. IMA J. Appl. Math. 30 (1983) 107-139.
    • (1983) IMA J. Appl. Math. , vol.30 , pp. 107-139
    • Spence, D.A.1
  • 105
    • 0001982062 scopus 로고
    • On scraping viscous fluid from a plane surface
    • Schäfer, M. (ed.), Akademie-Verlag, Berlin
    • Taylor, G.I., On scraping viscous fluid from a plane surface. In: Schäfer, M. (ed.), Miszellangen der Angewandten Mechanik (Festschrift Walter Tollmien). Akademie-Verlag, Berlin (1962) pp. 313-315.
    • (1962) Miszellangen der Angewandten Mechanik (Festschrift Walter Tollmien) , pp. 313-315
    • Taylor, G.I.1
  • 106
    • 0141774318 scopus 로고
    • Spezielle Ausführungen zur Statik elastischer Körper
    • Klein, F. and Müller, C. (eds), Teubner, Leipzig
    • Tedone, O. and Timpe, A., Spezielle Ausführungen zur Statik elastischer Körper. In: Klein, F. and Müller, C. (eds), Encyklop. Math. Wissensch., Vol. IV, 4. Teubner, Leipzig (1907) pp. 125-214.
    • (1907) Encyklop. Math. Wissensch. , vol.4 , Issue.4 , pp. 125-214
    • Tedone, O.1    Timpe, A.2
  • 108
    • 2342631777 scopus 로고
    • Sur l'application de la méthode des coordonnées normales au calcul de le flexion des tiges et des plaques
    • in Russian, with French summary
    • Timoshenko, S.P., Sur l'application de la méthode des coordonnées normales au calcul de le flexion des tiges et des plaques. Izv. Kiev. Politekh. Inst. 10 (1910) 1-49 [in Russian, with French summary].
    • (1910) Izv. Kiev. Politekh. Inst. , vol.10 , pp. 1-49
    • Timoshenko, S.P.1
  • 109
    • 2342518675 scopus 로고
    • (German abstract in Jahrb. Fortschr. Math. 41 (1910) 903-905.)
    • (1910) Jahrb. Fortschr. Math. , vol.41 , pp. 903-905
  • 112
    • 0141844958 scopus 로고
    • Probleme der Spannungsverteilung in ebenen Systemen, einfach gelöst mit Hilfe der Airyschen Funktion
    • Timpe, A., Probleme der Spannungsverteilung in ebenen Systemen, einfach gelöst mit Hilfe der Airyschen Funktion. Z. Math. Phys. 52 (1905) 348-383.
    • (1905) Z. Math. Phys. , vol.52 , pp. 348-383
    • Timpe, A.1
  • 113
    • 13444278189 scopus 로고
    • Talsperren und Staumauren
    • Otzen, R. von (ed.), Springer-Verlag, Berlin
    • Tölke, F., Talsperren und Staumauren. In: Otzen, R. von (ed.), Handbibliothek für Bauingenieure, Vol. III, 9. Springer-Verlag, Berlin (1938) pp. 388-408.
    • (1938) Handbibliothek für Bauingenieure , vol.3 , Issue.9 , pp. 388-408
    • Tölke, F.1
  • 114
    • 13444289212 scopus 로고
    • Sophie Germain: Farne earned by stubborn error
    • Truesdell, C., Sophie Germain: Farne earned by stubborn error. Boll. Storia Sci. Mat. 11(2) (1991) 3-24.
    • (1991) Boll. Storia Sci. Mat. , vol.11 , Issue.2 , pp. 3-24
    • Truesdell, C.1
  • 115
    • 2342645361 scopus 로고
    • The internal stresses in steel plating due to water pressure
    • Yates, J.A., The internal stresses in steel plating due to water pressure. Trans. Inst. Nav. Archit. 32 (1891) 190-210.
    • (1891) Trans. Inst. Nav. Archit. , vol.32 , pp. 190-210
    • Yates, J.A.1
  • 116
    • 2342597606 scopus 로고
    • Sur l'intégration de l'équation biharmonique
    • Zaremba, S., Sur l'intégration de l'équation biharmonique. Bull. Acad. Sci. Cracovie (1908) 1-29.
    • (1908) Bull. Acad. Sci. Cracovie , pp. 1-29
    • Zaremba, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.