메뉴 건너뛰기




Volumn 12, Issue 7, 1996, Pages 413-424

A necessary and sufficient boundary integral formulation for plane elasticity problems

Author keywords

Boundary integral equation; Necessary and sufficient condition; Plane elasticity problem

Indexed keywords

ELASTICITY; INTEGRAL EQUATIONS; PROBLEM SOLVING;

EID: 0030189137     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-0887(199607)12:7<413::aid-cnm988>3.0.co;2-2     Document Type: Article
Times cited : (16)

References (22)
  • 1
    • 0001851864 scopus 로고
    • An integral equation approach to boundary value problems of classical elastostatics
    • R. J. Rizzo, 'An integral equation approach to boundary value problems of classical elastostatics', Q. J. Appl. Math., 25, 83-95 (1967).
    • (1967) Q. J. Appl. Math. , vol.25 , pp. 83-95
    • Rizzo, R.J.1
  • 2
    • 0014627423 scopus 로고
    • Numerical solutions in three dimensional elastostatics
    • T. A. Cruse, 'Numerical solutions in three dimensional elastostatics', Int. J. Solids Struct., 5, 1259-1274 (1969).
    • (1969) Int. J. Solids Struct. , vol.5 , pp. 1259-1274
    • Cruse, T.A.1
  • 3
    • 0014719426 scopus 로고
    • A method for stress determination in plane anisotropic elastic bodies
    • R. J. Rizzo and D. J. Shippy, 'A method for stress determination in plane anisotropic elastic bodies', J. Compos. Mater., 4, 36-61 (1970).
    • (1970) J. Compos. Mater. , vol.4 , pp. 36-61
    • Rizzo, R.J.1    Shippy, D.J.2
  • 4
    • 0002027171 scopus 로고
    • Advanced applications of boundary integral equation method
    • T. A. Cruse and R. B. Wilson, 'Advanced applications of boundary integral equation method', Nucl. Eng. Des., 40, 223-234 (1975).
    • (1975) Nucl. Eng. Des. , vol.40 , pp. 223-234
    • Cruse, T.A.1    Wilson, R.B.2
  • 5
    • 0016444898 scopus 로고
    • A second generation integral equation program for three dimensional elastic analysis
    • T. A. Cruse and R. J. Rizzo (Eds), ASME, New York
    • L. C. Lachat and J. O. Watson, 'A second generation integral equation program for three dimensional elastic analysis', in T. A. Cruse and R. J. Rizzo (Eds), Boundary Integral Equation Method: Computational Applications in Applied Mechanics, ASME, New York, (1975), pp. 85-100.
    • (1975) Boundary Integral Equation Method: Computational Applications in Applied Mechanics , pp. 85-100
    • Lachat, L.C.1    Watson, J.O.2
  • 7
    • 0018431572 scopus 로고
    • Boundary elements in stress analysis
    • C. A. Brebbia and R. Nagamura, 'Boundary elements in stress analysis', ASCE J. Eng. Mech., 105, 55-69 (1979).
    • (1979) ASCE J. Eng. Mech. , vol.105 , pp. 55-69
    • Brebbia, C.A.1    Nagamura, R.2
  • 8
    • 0018662998 scopus 로고
    • A direct formulation of the boundary element method of stress analysis for complete plane strain
    • B. H. G. Brady, 'A direct formulation of the boundary element method of stress analysis for complete plane strain', Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 16, 235-244 (1979).
    • (1979) Int. J. Rock Mech. Min. Sci. Geomech. Abstr. , vol.16 , pp. 235-244
    • Brady, B.H.G.1
  • 9
    • 3643057772 scopus 로고
    • The application of integral equation methods to continuum problems in soil mechanics
    • R. H. G. Perry (Ed.), G. T. Foulis & Co., Oxfordshire
    • R. Butterfield, 'The application of integral equation methods to continuum problems in soil mechanics', in R. H. G. Perry (Ed.), Stress-Strain Behaviour of Soils, G. T. Foulis & Co., Oxfordshire, (1972), pp. 573-587.
    • (1972) Stress-Strain Behaviour of Soils , pp. 573-587
    • Butterfield, R.1
  • 10
    • 0016069911 scopus 로고
    • Elastic analysis of zoned orthotropic continua
    • G. R. Tomlin and R. Butterfield, 'Elastic analysis of zoned orthotropic continua', ASCE J. Eng. Mech., 100, 511-529 (1974).
    • (1974) ASCE J. Eng. Mech. , vol.100 , pp. 511-529
    • Tomlin, G.R.1    Butterfield, R.2
  • 11
    • 0001638562 scopus 로고
    • Integral equation methods for analysis of piecewise non-homogeneous three dimensional elastic solids of arbitrary shape
    • P. K. Banerjee, 'Integral equation methods for analysis of piecewise non-homogeneous three dimensional elastic solids of arbitrary shape', Int. J. Mech. Sci., 18, 293-303 (1976).
    • (1976) Int. J. Mech. Sci. , vol.18 , pp. 293-303
    • Banerjee, P.K.1
  • 12
    • 0016871928 scopus 로고
    • Solution of plane elasticity problem by the displacement discontinuity method: I & II
    • S. L. Crouch, 'Solution of plane elasticity problem by the displacement discontinuity method: I & II', Int. J. Numer. Methods Eng., 10, 301-343 (1976).
    • (1976) Int. J. Numer. Methods Eng. , vol.10 , pp. 301-343
    • Crouch, S.L.1
  • 13
    • 0026202367 scopus 로고
    • Boundary elements with equilibrium satisfaction - A consistent formulation for potential and elastostatic problems
    • J. C. F. Telles and F. A. De Paula, 'Boundary elements with equilibrium satisfaction - a consistent formulation for potential and elastostatic problems', Int. j. numer. methods eng., 32, 609-621 (1991).
    • (1991) Int. J. Numer. Methods Eng. , vol.32 , pp. 609-621
    • Telles, J.C.F.1    De Paula, F.A.2
  • 14
    • 0342404550 scopus 로고
    • The derivation of stiffness matrices from integral equations
    • C. A. Brebbia (ed.), Springer-Verlag, Berlin
    • F. Hartmann, 'The derivation of stiffness matrices from integral equations', in C. A. Brebbia (ed.), Boundary Element Methods in Engineering, Springer-Verlag, Berlin, 1981.
    • (1981) Boundary Element Methods in Engineering
    • Hartmann, F.1
  • 15
    • 0039650674 scopus 로고
    • A critical study of different boundary element stiffness matrices
    • C. A. Brebbia (ed.), Springer-Verlag, Berlin
    • O. Tullberg and L. Bolteus, 'A critical study of different boundary element stiffness matrices', in C. A. Brebbia (ed.), Boundary Element Methods in Engineering, Springer-Verlag, Berlin, 1982.
    • (1982) Boundary Element Methods in Engineering
    • Tullberg, O.1    Bolteus, L.2
  • 16
    • 0019901145 scopus 로고
    • A symmetric direct boundary integral equation method for two dimensional elastostatics
    • G. G. W. Mustoe, F. Volait and O. C. Zienkiewicz, 'A symmetric direct boundary integral equation method for two dimensional elastostatics', Res. Mech., 4, 57-82 (1982).
    • (1982) Res. Mech. , vol.4 , pp. 57-82
    • Mustoe, G.G.W.1    Volait, F.2    Zienkiewicz, O.C.3
  • 17
    • 3142753088 scopus 로고
    • Kritisches losung verhalten der direkten rand element methode bei logarithmischem kern
    • G. Kuhn, G. Lobel and I. Petrc, 'Kritisches losung verhalten der direkten rand element methode bei logarithmischem kern', Z. Angew. Math. Mech., 67, 7361-7363 (1987).
    • (1987) Z. Angew. Math. Mech. , vol.67 , pp. 7361-7363
    • Kuhn, G.1    Lobel, G.2    Petrc, I.3
  • 18
    • 0346602703 scopus 로고
    • The sufficient and necessary integral equations for plane harmonic functions
    • H. C. Hu, 'The sufficient and necessary integral equations for plane harmonic functions', Sci. China, 35, 861-869 (1992).
    • (1992) Sci. China , vol.35 , pp. 861-869
    • Hu, H.C.1
  • 22
    • 0025404318 scopus 로고
    • Importance and use of rigid body mode in boundary element method
    • M. Vable, 'Importance and use of rigid body mode in boundary element method', Int. j. numer. methods eng., 29, 453-472 (1970).
    • (1970) Int. J. Numer. Methods Eng. , vol.29 , pp. 453-472
    • Vable, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.