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Volumn 42, Issue 8, 1998, Pages 1391-1407

Stresses, stress sensitivities and shape optimization in two-dimensional linear elasticity by the boundary contour method

Author keywords

Boundary contour method; Boundary element method; Design sensitivity analysis; Shape optimization; Stress analysis

Indexed keywords

ALGORITHMS; CALCULATIONS; ELASTICITY; MATHEMATICAL PROGRAMMING; OPTIMIZATION; STRESS ANALYSIS;

EID: 0032139921     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19980830)42:8<1391::AID-NME421>3.0.CO;2-V     Document Type: Article
Times cited : (21)

References (29)
  • 1
    • 0032083903 scopus 로고    scopus 로고
    • A boundary contour formulation for design sensitivity analysis in two-dimensional linear elasticity
    • A.-V. Phan, S. Mukherjee and J. R. R. Mayer, 'A boundary contour formulation for design sensitivity analysis in two-dimensional linear elasticity', Int. J. Solids Struct., 35, 1981-1999 (1998).
    • (1998) Int. J. Solids Struct. , vol.35 , pp. 1981-1999
    • Phan, A.-V.1    Mukherjee, S.2    Mayer, J.R.R.3
  • 3
    • 0028442887 scopus 로고
    • A novel boundary element method for linear elasticity with no numerical integration for two-dimensional and line integrals for three-dimensional problems
    • A. Nagarajan, E. D. Lutz and S. Mukherjee, 'A novel boundary element method for linear elasticity with no numerical integration for two-dimensional and line integrals for three-dimensional problems', J. Appl. Mech. ASME, 61, 264-289 (1994).
    • (1994) J. Appl. Mech. ASME , vol.61 , pp. 264-289
    • Nagarajan, A.1    Lutz, E.D.2    Mukherjee, S.3
  • 4
    • 0001752979 scopus 로고    scopus 로고
    • The boundary contour method for three-dimensional linear elasticity
    • A. Nagarajan, S. Mukherjee and E. D. Lutz, 'The boundary contour method for three-dimensional linear elasticity', J. Appl. Mech. ASME, 63, 278-286 (1996).
    • (1996) J. Appl. Mech. ASME , vol.63 , pp. 278-286
    • Nagarajan, A.1    Mukherjee, S.2    Lutz, E.D.3
  • 5
    • 0031175457 scopus 로고    scopus 로고
    • The boundary contour method for three-dimensional linear elasticity with a new quadratic boundary element
    • Y. X. Mukherjee, S. Mukherjee, X. Shi and A. Nagarajan, 'The boundary contour method for three-dimensional linear elasticity with a new quadratic boundary element', Engna. Anal. Boundary Elements, 20, 35-44 (1997).
    • (1997) Engna. Anal. Boundary Elements , vol.20 , pp. 35-44
    • Mukherjee, Y.X.1    Mukherjee, S.2    Shi, X.3    Nagarajan, A.4
  • 6
    • 0001600671 scopus 로고    scopus 로고
    • The boundary contour method for two-dimensional linear elasticity with quadratic boundary elements
    • A.-V. Phan, S. Mukherjee and J. R. R. Mayer, 'The boundary contour method for two-dimensional linear elasticity with quadratic boundary elements', Comput. Mech., 20, 310-319 (1997).
    • (1997) Comput. Mech. , vol.20 , pp. 310-319
    • Phan, A.-V.1    Mukherjee, S.2    Mayer, J.R.R.3
  • 8
    • 0024016595 scopus 로고
    • Boundary integral equations for recovery of design sensitivities in shape optimization
    • M. R. Barone and R. J. Yang, 'Boundary integral equations for recovery of design sensitivities in shape optimization', AIAA J., 26, 589-594 (1988).
    • (1988) AIAA J. , vol.26 , pp. 589-594
    • Barone, M.R.1    Yang, R.J.2
  • 9
    • 0024101625 scopus 로고
    • Design sensitivity analysis of solids using BEM
    • J. H. Kane and S. Saigal, 'Design sensitivity analysis of solids using BEM', J. Engng. Mech., 114, 1703-1722 (1988).
    • (1988) J. Engng. Mech. , vol.114 , pp. 1703-1722
    • Kane, J.H.1    Saigal, S.2
  • 10
    • 0025897867 scopus 로고
    • Design sensitivity coefficients for linear elastic bodies with zones and corners by the derivative boundary element method
    • Q. Zhang and S. Mukherjee, 'Design sensitivity coefficients for linear elastic bodies with zones and corners by the derivative boundary element method', Int. J. Solids Struct., 27, 983-998 (1991).
    • (1991) Int. J. Solids Struct. , vol.27 , pp. 983-998
    • Zhang, Q.1    Mukherjee, S.2
  • 11
    • 0024899001 scopus 로고
    • Boundary element implicit differentiation equations for design sensitivities of axisymmetric structures
    • S. Saigal, J. T. Borggaard and J. H. Kane, 'Boundary element implicit differentiation equations for design sensitivities of axisymmetric structures', Int. J. Solids Struct., 25, 527-538 (1989).
    • (1989) Int. J. Solids Struct. , vol.25 , pp. 527-538
    • Saigal, S.1    Borggaard, J.T.2    Kane, J.H.3
  • 12
    • 0006699899 scopus 로고
    • Design sensitivity coefficients for axisymmetric elasticity problems by boundary element methods
    • J. R. Rice and S. Mukherjee, 'Design sensitivity coefficients for axisymmetric elasticity problems by boundary element methods', Engng. Anal. Boundary Elements, 7, 13-20 (1990).
    • (1990) Engng. Anal. Boundary Elements , vol.7 , pp. 13-20
    • Rice, J.R.1    Mukherjee, S.2
  • 13
    • 0043254664 scopus 로고
    • Three dimensional boundary element implicit differentiation formulation for design sensitivity analysis
    • R. Aithal, S. Saigal and S. Mukherjee, 'Three dimensional boundary element implicit differentiation formulation for design sensitivity analysis', Math. Comput. Modelling, 15, 1-10 (1991).
    • (1991) Math. Comput. Modelling , vol.15 , pp. 1-10
    • Aithal, R.1    Saigal, S.2    Mukherjee, S.3
  • 14
    • 0026961272 scopus 로고
    • Boundary formulations for three-dimensional continuum structural shape sensitivity analysis
    • J. H. Kane, G. Zhao, H. Wang and K. Guru Prasad, 'Boundary formulations for three-dimensional continuum structural shape sensitivity analysis', J. Appl. Mech. ASME, 59, 827-834 (1992).
    • (1992) J. Appl. Mech. ASME , vol.59 , pp. 827-834
    • Kane, J.H.1    Zhao, G.2    Wang, H.3    Guru Prasad, K.4
  • 15
    • 0029634713 scopus 로고
    • Regularized BIE formulations for first- And second-order shape sensitivity of elastic fields
    • M. Bonnet, 'Regularized BIE formulations for first-and second-order shape sensitivity of elastic fields', Comput. Struct., 56, 799-811 (1995).
    • (1995) Comput. Struct. , vol.56 , pp. 799-811
    • Bonnet, M.1
  • 16
    • 0024701809 scopus 로고
    • A boundary element formulation for design sensitivities in materially nonlinear problems
    • S. Mukherjee and A. Chandra, 'A boundary element formulation for design sensitivities in materially nonlinear problems', Acta Mechanica, 78, 243-253 (1989).
    • (1989) Acta Mechanica , vol.78 , pp. 243-253
    • Mukherjee, S.1    Chandra, A.2
  • 17
    • 0006943414 scopus 로고
    • A boundary element formulation for design sensitivities in problems involving both geometric and material nonlinearities
    • S. Mukherjee and A. Chandra, 'A boundary element formulation for design sensitivities in problems involving both geometric and material nonlinearities', Math. Comput. Modelling, 15, 245-255 (1991).
    • (1991) Math. Comput. Modelling , vol.15 , pp. 245-255
    • Mukherjee, S.1    Chandra, A.2
  • 18
    • 0028370969 scopus 로고
    • Shape optimization in elasticity and elasto-viscoplasticity by the boundary element method
    • X. Wei, A. Chandra, L. J. Leu and S. Mukherjee, 'Shape optimization in elasticity and elasto-viscoplasticity by the boundary element method', Int. J. Solids Struct., 31, 533-550 (1994).
    • (1994) Int. J. Solids Struct. , vol.31 , pp. 533-550
    • Wei, X.1    Chandra, A.2    Leu, L.J.3    Mukherjee, S.4
  • 19
    • 0024053280 scopus 로고
    • Boundary integral equation method for shape optimization of elastic structures
    • J. H. Choi and B. M. Kwak, 'Boundary integral equation method for shape optimization of elastic structures', Int. J. Numer. Meth. Engng., 26, 1579-1595 (1988).
    • (1988) Int. J. Numer. Meth. Engng. , vol.26 , pp. 1579-1595
    • Choi, J.H.1    Kwak, B.M.2
  • 20
    • 0024069717 scopus 로고
    • Shape optimization using the boundary element method with substructuring
    • E. Sandgren and S. J. Wu, 'Shape optimization using the boundary element method with substructuring', Int. J. Numer. Meth. Engng., 26, 1913-1924 (1988).
    • (1988) Int. J. Numer. Meth. Engng. , vol.26 , pp. 1913-1924
    • Sandgren, E.1    Wu, S.J.2
  • 21
    • 0025673399 scopus 로고
    • Component shape optimization using BEM
    • R. J. Yang, 'Component shape optimization using BEM', Comput Struct., 37, 561-568 (1990).
    • (1990) Comput Struct. , vol.37 , pp. 561-568
    • Yang, R.J.1
  • 22
    • 0025460824 scopus 로고
    • Boundary-element shape optimization system for aircraft structural components
    • S. Saigal and J. H. Kane, 'Boundary-element shape optimization system for aircraft structural components', AIAA J., 28, 1203-1204 (1990).
    • (1990) AIAA J. , vol.28 , pp. 1203-1204
    • Saigal, S.1    Kane, J.H.2
  • 23
    • 0028444906 scopus 로고
    • Three-dimensional shape optimization using the boundary element method
    • K. Yamazaki, J. Sakamoto and M. Kitano, 'Three-dimensional shape optimization using the boundary element method', AIAA J., 32, 1295-1301 (1994).
    • (1994) AIAA J. , vol.32 , pp. 1295-1301
    • Yamazaki, K.1    Sakamoto, J.2    Kitano, M.3
  • 24
    • 0029634704 scopus 로고
    • General-purpose computer program for shape optimization of engineering structures using the boundary element method
    • A. Tafreshi and R. T. Fenner, 'General-purpose computer program for shape optimization of engineering structures using the boundary element method', Comput. Struct., 56, 713-720 (1995).
    • (1995) Comput. Struct. , vol.56 , pp. 713-720
    • Tafreshi, A.1    Fenner, R.T.2
  • 26
    • 34250129599 scopus 로고
    • NLPQL: A FORTRAN subroutine solving constrained nonlinear programming problems
    • Clyde L. Monma (eds.)
    • K. Schittkowski, 'NLPQL: A FORTRAN subroutine solving constrained nonlinear programming problems', in Clyde L. Monma (eds.), Annals of Operations Research, Vol. 5, 1986, pp. 485-500.
    • (1986) Annals of Operations Research , vol.5 , pp. 485-500
    • Schittkowski, K.1
  • 27
    • 0001851864 scopus 로고
    • An integral equation approach to boundary value problems of classical elastostatics
    • F. J. Rizzo, 'An integral equation approach to boundary value problems of classical elastostatics', Quart. Appl. Math., 25, 83-95 (1967).
    • (1967) Quart. Appl. Math. , vol.25 , pp. 83-95
    • Rizzo, F.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.