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Volumn 39, Issue 15, 1996, Pages 2635-2646

A generalized newton method for higher-order finite element approximations in non-linear elasticity

Author keywords

Finite element method; Newton method; Non linear elasticity

Indexed keywords

ALGORITHMS; DEFORMATION; ELASTICITY; MATHEMATICAL TECHNIQUES; STRAIN; STRESSES;

EID: 0030212533     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0207(19960815)39:15<2635::aid-nme970>3.0.co;2-m     Document Type: Article
Times cited : (2)

References (6)
  • 1
    • 0000873069 scopus 로고
    • A method for the solution of certain non-linear problems in least squares
    • K. Levenberg, 'A method for the solution of certain non-linear problems in least squares', Q. Appl. Math, 2, 164-168 (1944).
    • (1944) Q. Appl. Math , vol.2 , pp. 164-168
    • Levenberg, K.1
  • 2
    • 0000169232 scopus 로고
    • An algorithm for least-squares estimation of non-linear parameters
    • D.W. Marquardt, 'An algorithm for least-squares estimation of non-linear parameters', J. Soc. Indust. Appl. Math., 11, 431-441 (1963).
    • (1963) J. Soc. Indust. Appl. Math. , vol.11 , pp. 431-441
    • Marquardt, D.W.1
  • 3
    • 33749072614 scopus 로고
    • Topics in finite elasticity: Hyperelasticity of rubber, elastomers, and biological tissues - With examples
    • M. F. Beatty, 'Topics in finite elasticity: hyperelasticity of rubber, elastomers, and biological tissues - with examples', ASME Appl. Mech. Rev., 40, 1699-1734 (1987).
    • (1987) ASME Appl. Mech. Rev. , vol.40 , pp. 1699-1734
    • Beatty, M.F.1
  • 4
    • 8744257833 scopus 로고
    • Verallgemeinerungen des Seidelschen Iterationsverfahrens
    • J. Weissinger, 'Verallgemeinerungen des Seidelschen Iterationsverfahrens', Z. Angew. Math. Mech., 33, 155-163 (1953)
    • (1953) Z. Angew. Math. Mech. , vol.33 , pp. 155-163
    • Weissinger, J.1
  • 6
    • 0026103678 scopus 로고
    • Quasi-incompressible finite elasticity in prinicipal stretches. Continuum basis and numerical algorithms
    • J. C. Simo and R. L. Taylor. "Quasi-incompressible finite elasticity in prinicipal stretches. Continuum basis and numerical algorithms', Comput. Methods Appl. Mech. Eng., 85, 273-310 (1991).
    • (1991) Comput. Methods Appl. Mech. Eng. , vol.85 , pp. 273-310
    • Simo, J.C.1    Taylor, R.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.