메뉴 건너뛰기




Volumn 44, Issue 8, 1999, Pages 1031-1054

The 3-D elastodynamic boundary element method: Semi-analytical integration for linear isoparametric triangular elements

Author keywords

Boundary elements; Integration; Steady state elastodynamics

Indexed keywords

COMPUTATIONAL GEOMETRY; ERROR ANALYSIS; INTEGRATION; MATHEMATICAL TRANSFORMATIONS;

EID: 0033099572     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19990320)44:8<1031::AID-NME539>3.0.CO;2-T     Document Type: Article
Times cited : (8)

References (27)
  • 2
    • 84968465442 scopus 로고
    • Numerical integration over simplexes
    • The National Research Council, Washington DC
    • P. C. Hammer, O. J. Marlowe and A. H. Stroud, 'Numerical integration over simplexes', Math. Tables other Aids to Computation, Vol. 10, The National Research Council, Washington DC, 1956, pp. 137-139.
    • (1956) Math. Tables Other Aids to Computation , vol.10 , pp. 137-139
    • Hammer, P.C.1    Marlowe, O.J.2    Stroud, A.H.3
  • 3
    • 0027641784 scopus 로고
    • Some notes on singular integral techniques in boundary element analysis
    • Q. Huang and T. A. Cruse, 'Some notes on singular integral techniques in boundary element analysis', Int. J. Numer. Meth. Engng., 36, 2643-2659 (1993).
    • (1993) Int. J. Numer. Meth. Engng. , vol.36 , pp. 2643-2659
    • Huang, Q.1    Cruse, T.A.2
  • 5
    • 0016871823 scopus 로고
    • Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics
    • J. C. Lachat and J. O. Watson, 'Effective numerical treatment of boundary integral equations: a formulation for three-dimensional elastostatics', Int. J. Numer. Meth. Engng., 10, 991-1005 (1976).
    • (1976) Int. J. Numer. Meth. Engng. , vol.10 , pp. 991-1005
    • Lachat, J.C.1    Watson, J.O.2
  • 6
    • 0022796305 scopus 로고
    • Conforming versus non-conforming boundary elements in three-dimensional elastostatics
    • G. D. Manolis and P. K. Banerjee, 'Conforming versus non-conforming boundary elements in three-dimensional elastostatics', Int. J. Numer. Meth. Engng., 23, 1885-1904 (1986).
    • (1986) Int. J. Numer. Meth. Engng. , vol.23 , pp. 1885-1904
    • Manolis, G.D.1    Banerjee, P.K.2
  • 7
    • 0017723511 scopus 로고
    • An advanced boundary integral equation method for three-dimensional thermoelasticity
    • F. J. Rizzo and D. J. Shippy, 'An advanced boundary integral equation method for three-dimensional thermoelasticity', Int. J. Numer. Meth. Engng., 11, 1753-1768 (1977).
    • (1977) Int. J. Numer. Meth. Engng. , vol.11 , pp. 1753-1768
    • Rizzo, F.J.1    Shippy, D.J.2
  • 8
    • 0024738624 scopus 로고
    • A general and effective way for evaluating the integrals with various orders of singularity in the direct boundary element method
    • Wu Zhang and Huan-Ran Xu, 'A general and effective way for evaluating the integrals with various orders of singularity in the direct boundary element method'., Int. J. Numer. Meth. Engng., 28, 2059-2064 (1989).
    • (1989) Int. J. Numer. Meth. Engng. , vol.28 , pp. 2059-2064
    • Zhang, W.1    Xu, H.-R.2
  • 9
    • 0026869795 scopus 로고
    • Some improvements of accuracy and efficiency in three-dimensional direct boundary element method
    • Yin-Sheng Li, Tatsuo Obata, Hideo Koguchi and Toshio Yada, 'Some improvements of accuracy and efficiency in three-dimensional direct boundary element method', Int. J. Numer. Meth. Engng., 33, 1451-1464 (1992).
    • (1992) Int. J. Numer. Meth. Engng. , vol.33 , pp. 1451-1464
    • Li, Y.-S.1    Obata, T.2    Koguchi, H.3    Yada, T.4
  • 10
    • 0025841595 scopus 로고
    • 3-D boundary elements and the integration of strong singularities
    • C. T. Dyka, A. M. Remodi and H. R. Millwaters, '3-D boundary elements and the integration of strong singularities', Comput. Struct., 39, 513-523 (1991).
    • (1991) Comput. Struct. , vol.39 , pp. 513-523
    • Dyka, C.T.1    Remodi, A.M.2    Millwaters, H.R.3
  • 11
    • 0026417065 scopus 로고
    • Direct evaluation of singular integrals in elastoplastic analysis by the boundary element method
    • Shan Lu and T. Q. Ye, 'Direct evaluation of singular integrals in elastoplastic analysis by the boundary element method', Int. J. Numer. Meth. Engng, 32, 295-311 (1991).
    • (1991) Int. J. Numer. Meth. Engng , vol.32 , pp. 295-311
    • Lu, S.1    Ye, T.Q.2
  • 12
    • 0023349184 scopus 로고
    • A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals
    • J. C. F. Telles, 'A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals', Int. J. Numer. Meth. Engng., 24, 959-973 (1987).
    • (1987) Int. J. Numer. Meth. Engng. , vol.24 , pp. 959-973
    • Telles, J.C.F.1
  • 13
    • 0027592420 scopus 로고
    • A new family of continuous/discontinues 3-D boundary elements with application to acoustic wave propagation
    • J. J. Silva Rego, L. C. Wrobel and J. C. F. Telles, 'A new family of continuous/discontinues 3-D boundary elements with application to acoustic wave propagation', Int. J. Numer. Meth. Engng., 26, 1661-1679 (1993).
    • (1993) Int. J. Numer. Meth. Engng. , vol.26 , pp. 1661-1679
    • Silva Rego, J.J.1    Wrobel, L.C.2    Telles, J.C.F.3
  • 14
    • 26844489296 scopus 로고
    • Analytical integration of isoparametric 2-D boundary elements
    • Proc. Of The 7th Int. Conf., Springer, Berlin, September
    • C. Katz, 'Analytical integration of isoparametric 2-D boundary elements', Boundary Elements VII, Vol. 2, Proc. Of The 7th Int. Conf., Springer, Berlin, September 1985.
    • (1985) Boundary Elements VII , vol.2
    • Katz, C.1
  • 15
    • 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
  • 16
    • 0016091791 scopus 로고
    • An improved boundary-integral equation method for three dimensional elastic stress analysis
    • T. A. Cruse, 'An improved boundary-integral equation method for three dimensional elastic stress analysis', Comput. Struct., 4, 741-754 (1974).
    • (1974) Comput. Struct. , vol.4 , pp. 741-754
    • Cruse, T.A.1
  • 17
    • 0017415881 scopus 로고
    • Accurate numerical integration of singular boundary element kernels over boundaries with curvature
    • G. Jeng and A. Wexler, 'Accurate numerical integration of singular boundary element kernels over boundaries with curvature', Int. J. Numer. Meth. Engng., 11, 1455-1471 (1977).
    • (1977) Int. J. Numer. Meth. Engng. , vol.11 , pp. 1455-1471
    • Jeng, G.1    Wexler, A.2
  • 18
    • 0019482162 scopus 로고
    • Solution of radiation problems by collocation of integral formulation in terms of single and double layer potentials
    • M. N. Sahyi, Y. Ousset and G. Verchery, 'Solution of radiation problems by collocation of integral formulation in terms of single and double layer potentials', J. Sound Vib., 74, 187-204 (1981).
    • (1981) J. Sound Vib. , vol.74 , pp. 187-204
    • Sahyi, M.N.1    Ousset, Y.2    Verchery, G.3
  • 19
    • 0024707707 scopus 로고
    • Analytical, integration of linear three-dimensional triangular elements in bem
    • K. Davey and S. Hinduja, 'Analytical, integration of linear three-dimensional triangular elements in bem', Appl. Math. Model., 13, 450-461 (1989).
    • (1989) Appl. Math. Model. , vol.13 , pp. 450-461
    • Davey, K.1    Hinduja, S.2
  • 20
    • 0031377168 scopus 로고    scopus 로고
    • The 3-D thermoelastic boundary element method: Analytical integration for linear isoparametric triangular elements
    • J. Milroy, S. Hinduja and K. Davey, 'The 3-D thermoelastic boundary element method: analytical integration for linear isoparametric triangular elements', Appl. Math. Model., 21, 763-782 (1997).
    • (1997) Appl. Math. Model. , vol.21 , pp. 763-782
    • Milroy, J.1    Hinduja, S.2    Davey, K.3
  • 21
    • 0023421901 scopus 로고
    • Direct computation of cauchy principle value integrals in advanced boundary elements
    • M. Guiggiani and P. Casalini, 'Direct computation of cauchy principle value integrals in advanced boundary elements', Int. J. Numer. Meth. Engng., 24, 711-1720 (1987).
    • (1987) Int. J. Numer. Meth. Engng. , vol.24 , pp. 711-1720
    • Guiggiani, M.1    Casalini, P.2
  • 22
    • 84986946210 scopus 로고
    • A method for direct evaluation of singular integral in the direct boundary element method
    • Heshan Liao and Zhixin Xu, 'A method for direct evaluation of singular integral in the direct boundary element method', Int. J. Numer. Meth. Engng., 35, 1473-1485 (1992).
    • (1992) Int. J. Numer. Meth. Engng. , vol.35 , pp. 1473-1485
    • Liao, H.1    Xu, Z.2
  • 23
    • 0022388419 scopus 로고
    • Taylor expansions for singular kernels in the boundary element method
    • M. H. Aliabadi, W. S. Hall and T. G. Phemister, 'Taylor expansions for singular kernels in the boundary element method', Int. J. Numer. Meth. Engng., 21, 2221-2236 (1985).
    • (1985) Int. J. Numer. Meth. Engng. , vol.21 , pp. 2221-2236
    • Aliabadi, M.H.1    Hall, W.S.2    Phemister, T.G.3
  • 24
    • 49949131315 scopus 로고
    • A direct formulation and numerical solution of the general transient elastodynamic problem I
    • T. A. Cruse and F. J. Rizzo, 'A direct formulation and numerical solution of the general transient elastodynamic problem I', J. Math. Anal. Appl., 22, 244-259 (1968).
    • (1968) J. Math. Anal. Appl. , vol.22 , pp. 244-259
    • Cruse, T.A.1    Rizzo, F.J.2
  • 25
    • 0001295562 scopus 로고
    • Bologna Series, Academy of Science, Bolognia, Italy
    • D. Graffi, Memorie De La Academia Scienze, Bologna Series, Academy of Science, Bolognia, Italy, Vol. 10(4), 1947, pp. 103-109.
    • (1947) Memorie de la Academia Scienze , vol.10 , Issue.4 , pp. 103-109
    • Graffi, D.1
  • 26
    • 0020543988 scopus 로고
    • A comporative study on three boundary element method approaches to problems in elastodynamics
    • G. D. Manolis, 'A comporative study on three boundary element method approaches to problems in elastodynamics', Int. J Numer. Meth. Engng., 19, 73-91 (1983).
    • (1983) Int. J Numer. Meth. Engng. , vol.19 , pp. 73-91
    • Manolis, G.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.