메뉴 건너뛰기




Volumn 196, Issue 9-12, 2007, Pages 1745-1756

An anisotropic viscoelastic fibre-matrix model at finite strains: Continuum formulation and computational aspects

Author keywords

Anisotropic viscoelasticity; Continuum thermodynamics; Fibre matrix composite materials; Finite strains; Multiplicative split of the deformation gradient

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; FIBER REINFORCED MATERIALS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; STRAIN; THERMODYNAMICS; VISCOELASTICITY;

EID: 33845650939     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.09.009     Document Type: Article
Times cited : (88)

References (34)
  • 1
    • 0032142554 scopus 로고    scopus 로고
    • A simple orthotropic transversely isotropic hyperelastic constitutive equation for large strain computations
    • Bonet J., and Burton A. A simple orthotropic transversely isotropic hyperelastic constitutive equation for large strain computations. Comput. Methods Appl. Mech. Engrg. 162 (1998) 151-164
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.162 , pp. 151-164
    • Bonet, J.1    Burton, A.2
  • 2
    • 36849104050 scopus 로고
    • Thermodynamics with internal variables
    • Coleman B., and Gurtin M. Thermodynamics with internal variables. J. Chem. Phys. 47 (1967) 597-613
    • (1967) J. Chem. Phys. , vol.47 , pp. 597-613
    • Coleman, B.1    Gurtin, M.2
  • 3
    • 0000906473 scopus 로고
    • Foundation of linear viscoelasticity
    • Coleman B., and Noll W. Foundation of linear viscoelasticity. Rev. Mod. Phys. 33 (1961) 239-249
    • (1961) Rev. Mod. Phys. , vol.33 , pp. 239-249
    • Coleman, B.1    Noll, W.2
  • 5
    • 0031188963 scopus 로고    scopus 로고
    • A presentation and comparison of two large deformation viscoelastic models
    • Govindjee S., and Reese S. A presentation and comparison of two large deformation viscoelastic models. ASME J. Engrg. Mater. Technol. 119 (1997) 251-255
    • (1997) ASME J. Engrg. Mater. Technol. , vol.119 , pp. 251-255
    • Govindjee, S.1    Reese, S.2
  • 8
    • 0035946893 scopus 로고    scopus 로고
    • A viscoelastic model for fibre-reinforced composites at finite strains: continuum basis, computational aspects and applications
    • Holzapfel G., and Gasser T. A viscoelastic model for fibre-reinforced composites at finite strains: continuum basis, computational aspects and applications. Comput. Methods Appl. Mech. Engrg. 190 (2001) 4379-4403
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 4379-4403
    • Holzapfel, G.1    Gasser, T.2
  • 9
    • 0142223926 scopus 로고    scopus 로고
    • A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis
    • Holzapfel G., Gasser T., and Stadler M. A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis. Eur. J. Mech. A/Solids 21 (2002) 441-463
    • (2002) Eur. J. Mech. A/Solids , vol.21 , pp. 441-463
    • Holzapfel, G.1    Gasser, T.2    Stadler, M.3
  • 11
    • 17444414586 scopus 로고    scopus 로고
    • An anisotropic fibre-matrix material model at finite elastic-plastic strains
    • Klinkel S., Sansour C., and Wagner W. An anisotropic fibre-matrix material model at finite elastic-plastic strains. Comput. Mech. 35 (2005) 409-417
    • (2005) Comput. Mech. , vol.35 , pp. 409-417
    • Klinkel, S.1    Sansour, C.2    Wagner, W.3
  • 12
    • 0027698439 scopus 로고
    • Three-dimensional incompressible viscoelasticity in large strains: formulation and numerical approximation
    • LeTallec P., Rahier C., and Kaiss A. Three-dimensional incompressible viscoelasticity in large strains: formulation and numerical approximation. Comput. Methods Appl. Mech. Engrg. 109 (1993) 223-258
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.109 , pp. 223-258
    • LeTallec, P.1    Rahier, C.2    Kaiss, A.3
  • 13
    • 0004768924 scopus 로고    scopus 로고
    • A constitutive model for carbon black filled rubber. Experimental investigations and mathematical representations
    • Lion A. A constitutive model for carbon black filled rubber. Experimental investigations and mathematical representations. Continuum Mech. Thermodyn. 8 (1996) 153-169
    • (1996) Continuum Mech. Thermodyn. , vol.8 , pp. 153-169
    • Lion, A.1
  • 14
    • 46549097431 scopus 로고
    • A model of rubber viscoelasticity
    • Lubliner J. A model of rubber viscoelasticity. Mech. Res. Commun. 12 (1985) 93-99
    • (1985) Mech. Res. Commun. , vol.12 , pp. 93-99
    • Lubliner, J.1
  • 15
    • 0028064102 scopus 로고
    • Eshelby stress in elastoplasticity and ductile fracture
    • Maugin G. Eshelby stress in elastoplasticity and ductile fracture. Int. J. Plast. 10 (1994) 393-408
    • (1994) Int. J. Plast. , vol.10 , pp. 393-408
    • Maugin, G.1
  • 16
    • 0028445932 scopus 로고
    • Aspects of the formulation and finite element implementation of large strain isotropic elasticity
    • Miehe C. Aspects of the formulation and finite element implementation of large strain isotropic elasticity. Int. J. Numer. Methods Engrg. 37 (1994) 1981-2004
    • (1994) Int. J. Numer. Methods Engrg. , vol.37 , pp. 1981-2004
    • Miehe, C.1
  • 17
    • 0036472843 scopus 로고    scopus 로고
    • Frameworks for finite strain viscoelastic-plasticity based on multiplicative decompositions. Part I: Continuum formulations
    • Nedjar B. Frameworks for finite strain viscoelastic-plasticity based on multiplicative decompositions. Part I: Continuum formulations. Comput. Methods Appl. Mech. Engrg. 191 (2002) 1541-1562
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 1541-1562
    • Nedjar, B.1
  • 18
    • 0036472247 scopus 로고    scopus 로고
    • Frameworks for finite strain viscoelastic-plasticity based on multiplicative decompositions. Part II: Computational aspects
    • Nedjar B. Frameworks for finite strain viscoelastic-plasticity based on multiplicative decompositions. Part II: Computational aspects. Comput. Methods Appl. Mech. Engrg. 191 (2002) 1563-1593
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 1563-1593
    • Nedjar, B.1
  • 20
    • 0037321283 scopus 로고    scopus 로고
    • Meso-macro modelling of fibre-reinforced rubber-like composites exhibiting large elastoplastic deformation
    • Reese S. Meso-macro modelling of fibre-reinforced rubber-like composites exhibiting large elastoplastic deformation. Int. J. Solids Struct. 40 (2003) 951-980
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 951-980
    • Reese, S.1
  • 21
    • 0032157873 scopus 로고    scopus 로고
    • A theory of finite viscoelasticity and numerical aspects
    • Reese S., and Govindjee S. A theory of finite viscoelasticity and numerical aspects. Int. J. Solids Struct. 35 26-27 (1998) 3455-3482
    • (1998) Int. J. Solids Struct. , vol.35 , Issue.26-27 , pp. 3455-3482
    • Reese, S.1    Govindjee, S.2
  • 22
    • 0035824780 scopus 로고    scopus 로고
    • Finite element modelling of orthotropic material behaviour in pneumatic membranes
    • Reese S., Raible T., and Wriggers P. Finite element modelling of orthotropic material behaviour in pneumatic membranes. Int. J. Solids Struct. 38 (2001) 9525-9544
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 9525-9544
    • Reese, S.1    Raible, T.2    Wriggers, P.3
  • 23
    • 0346783198 scopus 로고    scopus 로고
    • On the numerical implications of multiplicative inelasticity with an anisotropic elastic constitutive law
    • Sansour C., and Bocko J. On the numerical implications of multiplicative inelasticity with an anisotropic elastic constitutive law. Int. J. Numer. Methods Engrg. 58 (2003) 2131-2160
    • (2003) Int. J. Numer. Methods Engrg. , vol.58 , pp. 2131-2160
    • Sansour, C.1    Bocko, J.2
  • 24
    • 33747793383 scopus 로고    scopus 로고
    • A formulation of anisotropic continuum elastoplasticity at finite strains. Part I: Modelling
    • Sansour C., Karsaj I., and Soric J. A formulation of anisotropic continuum elastoplasticity at finite strains. Part I: Modelling. Int. J. Plasticity 22 (2006) 2346-2365
    • (2006) Int. J. Plasticity , vol.22 , pp. 2346-2365
    • Sansour, C.1    Karsaj, I.2    Soric, J.3
  • 25
    • 0032095611 scopus 로고    scopus 로고
    • Large viscoplastic deformations of shells, theory and finite element formulation
    • Sansour C., and Kollmann G. Large viscoplastic deformations of shells, theory and finite element formulation. Comput. Mech. 21 (1998) 512-525
    • (1998) Comput. Mech. , vol.21 , pp. 512-525
    • Sansour, C.1    Kollmann, G.2
  • 26
    • 0016329786 scopus 로고
    • Un modèle viscoélastique nonlinéaire avec configuration intermédiaire
    • Sidoroff J. Un modèle viscoélastique nonlinéaire avec configuration intermédiaire. J. Mécanique 13 (1974) 679-713
    • (1974) J. Mécanique , vol.13 , pp. 679-713
    • Sidoroff, J.1
  • 27
    • 0023288184 scopus 로고
    • On a fully three-dimensional finite-strain viscoelastic damage model: formulation and computational aspects
    • Simo J. On a fully three-dimensional finite-strain viscoelastic damage model: formulation and computational aspects. Comput. Methods Appl. Mech. Engrg. 60 (1987) 153-173
    • (1987) Comput. Methods Appl. Mech. Engrg. , vol.60 , pp. 153-173
    • Simo, J.1
  • 28
    • 0026910667 scopus 로고
    • Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
    • Simo J. Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory. Comput. Methods Appl. Mech. Engrg. 99 (1992) 61-112
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.99 , pp. 61-112
    • Simo, J.1
  • 29
    • 70350313479 scopus 로고    scopus 로고
    • Numerical analysis and simulation of plasticity
    • Ciarlet P., and Lions J. (Eds), North-Holland
    • Simo J. Numerical analysis and simulation of plasticity. In: Ciarlet P., and Lions J. (Eds). Handbook of Numerical Analysis vol. VI (1998), North-Holland
    • (1998) Handbook of Numerical Analysis , vol.VI
    • Simo, J.1
  • 30
    • 0026103678 scopus 로고
    • Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
    • Simo J., and Taylor R. Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms. Comput. Methods Appl. Mech. Engrg. 85 (1991) 273-310
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.85 , pp. 273-310
    • Simo, J.1    Taylor, R.2
  • 32
    • 0035499772 scopus 로고    scopus 로고
    • A theory of viscoplasticity for fabric-reinforced composites
    • Spencer A. A theory of viscoplasticity for fabric-reinforced composites. J. Mech. Phys. Solids 49 (2001) 2667-2687
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 2667-2687
    • Spencer, A.1
  • 33
    • 0002565890 scopus 로고
    • The nonlinear field theories of mechanics
    • Fluegge S. (Ed), Springer-Verlag, Berlin
    • Truesdell C., and Noll W. The nonlinear field theories of mechanics. In: Fluegge S. (Ed). Handbuch der Physik Bd. III/3 (1965), Springer-Verlag, Berlin
    • (1965) Handbuch der Physik Bd. III/3
    • Truesdell, C.1    Noll, W.2
  • 34
    • 0030213907 scopus 로고    scopus 로고
    • Finite element implementation of incompressible, transversely isotropic hyperelasticity
    • Weiss J., Maker B., and Govindjee S. Finite element implementation of incompressible, transversely isotropic hyperelasticity. Comput. Methods Appl. Mech. Engrg. 135 (1996) 107-128
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.135 , pp. 107-128
    • Weiss, J.1    Maker, B.2    Govindjee, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.