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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volumn 459, Issue 2034, 2003, Pages 1449-1457
Application of the Dunford-Taylor integral to isotropic tensor functions and their derivatives
Author keywords

Anisotropic (single crystal) plasticity; Derivative of tensor function; Dunford Taylor integral; Isotropic (exponential) tensor function; Residue theorem
Indexed keywords

ARTICLE; CRYSTAL STRUCTURE; MATHEMATICAL ANALYSIS; PHYSICS; PLASTICITY; VALIDATION PROCESS;
EID: 0042100524     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2002.1102     Document Type: Article
Times cited : (16)
References (10)
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  • 2
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    • Constitutive inequalities for isotropic elastic solids under finite strain
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  • 3
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    • Itskov, M. 2002 The derivative with respect to a tensor: some theoretical aspects and applications. Z. Angew. Math. Mech. 82, 535-544.
    • (2002) Z. Angew. Math. Mech. , vol.82 , pp. 535-544
    • Itskov, M.1
  • 4
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    • A closed-form representation for the derivative of non-symmetric tensor power series
    • Itskov, M. & Aksel, N. 2002 A closed-form representation for the derivative of non-symmetric tensor power series. Int. J. Solids Struct. 39, 5963-5978.
    • (2002) Int. J. Solids Struct. , vol.39 , pp. 5963-5978
    • Itskov, M.1    Aksel, N.2
  • 6
    • 0030270729 scopus 로고    scopus 로고
    • Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals
    • Miehe, C. 1996 Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals. Int. J. Numer. Meth. Engng 39, 3367-3390.
    • (1996) Int. J. Numer. Meth. Engng , vol.39 , pp. 3367-3390
    • Miehe, C.1
  • 7
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    • The equivalence of definitions of a matric function
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  • 8
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    • Large viscoplastic deformations of shells: Theory and finite element formulation
    • Sansour, C. & Kollmann, F. G. 1998 Large viscoplastic deformations of shells: theory and finite element formulation. Computat. Mech. 21, 512-525.
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    • Sansour, C.1    Kollmann, F.G.2
  • 9
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    • On the numerical treatment and analysis of finite deformation ductile single crystal plasticity
    • Steinmann, P. & Stein, E. 1996 On the numerical treatment and analysis of finite deformation ductile single crystal plasticity. Comp. Meth. Appl. Mech. Engng 129, 235-254.
    • (1996) Comp. Meth. Appl. Mech. Engng , vol.129 , pp. 235-254
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  • 10
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    • The nonlinear field theories of mechanics
    • ed. S. Flügge, Springer
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    • Truesdell, C.1    Noll, W.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.