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Volumn 192, Issue 47-48, 2003, Pages 5147-5166

p-FEM applied to finite isotropic hyperelastic bodies

Author keywords

Anisotropic finite elements; Finite strains; Hyperelasticity; P FEM

Indexed keywords

ELASTICITY; FINITE ELEMENT METHOD; STRAIN;

EID: 18844479361     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.07.003     Document Type: Article
Times cited : (84)

References (46)
  • 1
    • 0026867998 scopus 로고
    • Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
    • Simo J. Armero F. Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes Int. J. Numer. Methods Engrg. 33 1992 1413-1449
    • (1992) Int. J. Numer. Methods Engrg. , vol.33 , pp. 1413-1449
    • Simo, J.1    Armero, F.2
  • 2
    • 46549096707 scopus 로고
    • Variational and projection methods for the volume constraint infinite deformation elasto-plasticity
    • Simo J. Taylor R. Pister K. Variational and projection methods for the volume constraint infinite deformation elasto-plasticity Comput. Methods Appl. Mech. Engrg. 51 1985 177-208
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.51 , pp. 177-208
    • Simo, J.1    Taylor, R.2    Pister, K.3
  • 3
    • 0026103678 scopus 로고
    • Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
    • Simo J. 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
  • 4
    • 0023170746 scopus 로고
    • A finite element formulation for nonlinear incompressible elastic and inelastic analysis
    • Sussman T. Bathe K.-J. A finite element formulation for nonlinear incompressible elastic and inelastic analysis Comput. Struct. 26 1987 357-409
    • (1987) Comput. Struct. , vol.26 , pp. 357-409
    • Sussman, T.1    Bathe, K.-J.2
  • 5
    • 0030420669 scopus 로고    scopus 로고
    • On some mixed finite element methods for incompressible and nearly incompressible finite elasticity
    • Brink U. Stein E. On some mixed finite element methods for incompressible and nearly incompressible finite elasticity Comput. Mech. 19 1996 105-119
    • (1996) Comput. Mech. , vol.19 , pp. 105-119
    • Brink, U.1    Stein, E.2
  • 8
    • 0033115377 scopus 로고    scopus 로고
    • A new stabilization technique for finite elements in non-linear elasticity
    • Reese S. Küssner M. Reddy B. A new stabilization technique for finite elements in non-linear elasticity Int. J. Numer. Methods Engrg. 44 1999 1617-1652
    • (1999) Int. J. Numer. Methods Engrg. , vol.44 , pp. 1617-1652
    • Reese, S.1    Küssner, M.2    Reddy, B.3
  • 9
    • 0034187903 scopus 로고    scopus 로고
    • A stabilization technique to avoid hourglassing in finite elasticity
    • Reese S. Wriggers P. A stabilization technique to avoid hourglassing in finite elasticity Int. J. Numer. Methods Engrg. 48 2000 79-109
    • (2000) Int. J. Numer. Methods Engrg. , vol.48 , pp. 79-109
    • Reese, S.1    Wriggers, P.2
  • 10
    • 0009687960 scopus 로고    scopus 로고
    • Postdoctoral thesis, Institut für Baumechanik und Numerische Mechanik, Universität Hannover
    • S. Reese, Thermomechanische Modellierung gummiartiger Polymerstrukturen, Postdoctoral thesis, Institut für Baumechanik und Numerische Mechanik, Universität Hannover, 2001
    • (2001) Thermomechanische Modellierung Gummiartiger Polymerstrukturen
    • Reese, S.1
  • 11
    • 0030191620 scopus 로고    scopus 로고
    • Analytical and computational assessment of locking in the hp finite element method
    • Suri M. Analytical and computational assessment of locking in the hp finite element method Comput. Methods Appl. Mech. Engrg. 133 1996 347-371
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.133 , pp. 347-371
    • Suri, M.1
  • 13
    • 0032163106 scopus 로고    scopus 로고
    • On the accuracy of p-version elements for the Reissner-Mindlin plate problem
    • Rank E. Krause R. Preusch K. On the accuracy of p-version elements for the Reissner-Mindlin plate problem Int. J. Numer. Methods Engrg. 43 1998 51-67
    • (1998) Int. J. Numer. Methods Engrg. , vol.43 , pp. 51-67
    • Rank, E.1    Krause, R.2    Preusch, K.3
  • 14
    • 0035841385 scopus 로고    scopus 로고
    • The p-version of the finite element method for three-dimensional curved thin walled structures
    • Düster A. Bräoker H. Rank E. The p-version of the finite element method for three-dimensional curved thin walled structures Int. J. Numer. Methods Engrg. 52 2001 673-703
    • (2001) Int. J. Numer. Methods Engrg. , vol.52 , pp. 673-703
    • Düster, A.1    Bräoker, H.2    Rank, E.3
  • 16
    • 16244396231 scopus 로고    scopus 로고
    • Ph.D. Thesis, Lehrstuhl für Bauinformatik, Fakultät für Bauingenieur- und Vermessungswesen, Technische Universität München
    • A. Düster, High Order Finite Elements for Three-Dimensional, Thin-Walled Nonlinear Continua, Ph.D. Thesis, Lehrstuhl für Bauinformatik, Fakultät für Bauingenieur- und Vermessungswesen, Technische Universität München, 2001
    • (2001) High Order Finite Elements for Three-Dimensional, Thin-Walled Nonlinear Continua
    • Düster, A.1
  • 17
    • 0035808187 scopus 로고    scopus 로고
    • The p-version of the finite element method compared to an adaptive h-version for the deformation theory of plasticity
    • Düster A. Rank E. The p-version of the finite element method compared to an adaptive h-version for the deformation theory of plasticity Comput. Methods Appl. Mech. Engrg. 190 2001 1925-1935
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 1925-1935
    • Düster, A.1    Rank, E.2
  • 19
    • 17044453366 scopus 로고    scopus 로고
    • A numerical investigation of high-order finite elements for problems of elasto-plasticity
    • Düster A. Niggl A. Nübel V. Rank E. A numerical investigation of high-order finite elements for problems of elasto-plasticity J. Sci. Comput. 17 2002 397-404
    • (2002) J. Sci. Comput. , vol.17 , pp. 397-404
    • Düster, A.1    Niggl, A.2    Nübel, V.3    Rank, E.4
  • 20
    • 0037902146 scopus 로고    scopus 로고
    • Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility
    • Hartmann S. Neff P. Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility Int. J. Solids Struct. 40 2003 2767-2791
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 2767-2791
    • Hartmann, S.1    Neff, P.2
  • 21
    • 0006280110 scopus 로고
    • Thermodynamic relations for high elastic materials
    • Flory P. Thermodynamic relations for high elastic materials Trans. Faraday Soc. 57 1961 829-838
    • (1961) Trans. Faraday Soc. , vol.57 , pp. 829-838
    • Flory, P.1
  • 22
    • 0037127130 scopus 로고    scopus 로고
    • Computation in finite strain viscoelasticity: Finite elements based on the interpretation as differential-algebraic equations
    • Hartmann S. Computation in finite strain viscoelasticity: Finite elements based on the interpretation as differential-algebraic equations Comput. Methods Appl. Mech. Engrg. 191 13-14 2002 1439-1470
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , Issue.13-14 , pp. 1439-1470
    • Hartmann, S.1
  • 23
    • 0000298337 scopus 로고
    • Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
    • Ser. A
    • Rivlin R. Saunders D. Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber Philos. Trans. R. Soc. London Ser. A 243 1951 251-288
    • (1951) Philos. Trans. R. Soc. London , vol.243 , pp. 251-288
    • Rivlin, R.1    Saunders, D.2
  • 24
    • 0001737632 scopus 로고
    • Large deformation isotropic elasticity--on the correlation of theory and experiment for incompressible rubberlike solids
    • Ser. A
    • Ogden R. Large deformation isotropic elasticity--on the correlation of theory and experiment for incompressible rubberlike solids Proc. R. Soc. London Ser. A 326 1972 565-584
    • (1972) Proc. R. Soc. London , vol.326 , pp. 565-584
    • Ogden, R.1
  • 25
    • 0041097550 scopus 로고
    • A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
    • Arruda E. Boyce M. A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials J. Mech. Phys. Solids 41 1993 389-412
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 389-412
    • Arruda, E.1    Boyce, M.2
  • 26
    • 0034926178 scopus 로고    scopus 로고
    • Numerical studies on the identification of the material parameters of Rivlin's hyperelasticity using tension-torsion tests
    • Hartmann S. Numerical studies on the identification of the material parameters of Rivlin's hyperelasticity using tension-torsion tests Acta Mech. 148 2001 129-155
    • (2001) Acta Mech. , vol.148 , pp. 129-155
    • Hartmann, S.1
  • 27
    • 0035850750 scopus 로고    scopus 로고
    • Parameter estimation of hyperelasticity relations of generalized polynomial-type with constraint conditions
    • Hartmann S. Parameter estimation of hyperelasticity relations of generalized polynomial-type with constraint conditions Int. J. Solids Struct. 38 44-45 2001 7999-8018
    • (2001) Int. J. Solids Struct. , vol.38 , Issue.44-45 , pp. 7999-8018
    • Hartmann, S.1
  • 29
    • 0037720565 scopus 로고
    • An existence theorem for slightly compressible materials in nonlinear elasticity
    • Charrier P. Dacorogna B. Hanouzet B. Laborde P. An existence theorem for slightly compressible materials in nonlinear elasticity SIAM J. Math. Anal. 19 1988 70-85
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 70-85
    • Charrier, P.1    Dacorogna, B.2    Hanouzet, B.3    Laborde, P.4
  • 30
    • 0031630934 scopus 로고    scopus 로고
    • The simple tension problem at large volumetric strains computed from finite hyperelastic material laws
    • Ehlers W. Eipper G. The simple tension problem at large volumetric strains computed from finite hyperelastic material laws Acta Mech. 130 1998 17-27
    • (1998) Acta Mech. , vol.130 , pp. 17-27
    • Ehlers, W.1    Eipper, G.2
  • 36
    • 4243772098 scopus 로고    scopus 로고
    • Thermo-elastic computations of geometrically non-linear three-dimensional thin-walled continua based on high order finite elements
    • H. Mang, F. Rammerstorfer, J. Eberhardsteiner (Eds.), Vienna, Austria
    • A. Düster, A. Niggl, E. Rank, Thermo-elastic computations of geometrically non-linear three-dimensional thin-walled continua based on high order finite elements, in: H. Mang, F. Rammerstorfer, J. Eberhardsteiner (Eds.), Proceedings of the Fifth World Congress on Computational Mechanics, Vienna, Austria, 2002
    • (2002) Proceedings of the Fifth World Congress on Computational Mechanics
    • Düster, A.1    Niggl, A.2    Rank, E.3
  • 37
    • 0031235642 scopus 로고    scopus 로고
    • Quasi-regional mapping for the p-version of the finite element method
    • Királyfalvi G. Szabó B. Quasi-regional mapping for the p-version of the finite element method Finite Element in Analysis and Design 27 1997 85-97
    • (1997) Finite Element in Analysis and Design , vol.27 , pp. 85-97
    • Királyfalvi, G.1    Szabó, B.2
  • 39
    • 85030937429 scopus 로고    scopus 로고
    • http://netlib.bell-labs.com/netlib/linalg/spooles/spooles.2.2.html
  • 40
    • 0035270279 scopus 로고    scopus 로고
    • Viscoplasticity of elastomeric materials, experimental facts and constitutive modelling
    • Haupt P. Sedlan K. Viscoplasticity of elastomeric materials, experimental facts and constitutive modelling Arch. Appl. Mech. 71 2001 89-109
    • (2001) Arch. Appl. Mech. , vol.71 , pp. 89-109
    • Haupt, P.1    Sedlan, K.2
  • 41
    • 0028416581 scopus 로고
    • 3D finite element analysis of rubber-like materials at finite strains
    • Liu C. Hofstetter G. Mang H. 3D finite element analysis of rubber-like materials at finite strains Engrg. Comput. 11 1994 111-128
    • (1994) Engrg. Comput. , vol.11 , pp. 111-128
    • Liu, C.1    Hofstetter, G.2    Mang, H.3
  • 44
    • 85030951289 scopus 로고    scopus 로고
    • Ph.D. Thesis, Institut für Baumechanik und Numerische Mechanik, Universität Hannover
    • P. Betsch, Statische und dynamische Berechnungen von Schalen endlicher elastischer Deformationen mit gemischten finiten Elementen, Ph.D. Thesis, Institut für Baumechanik und Numerische Mechanik, Universität Hannover, 1996
    • (1996) Deformationen Mit Gemischten Finiten Elementen
  • 45
    • 0027847564 scopus 로고
    • Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
    • Simo J. Armero F. Taylor R. Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems Comput. Methods Appl. Mech. Engrg. 110 1993 359-386
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.110 , pp. 359-386
    • Simo, J.1    Armero, F.2    Taylor, R.3
  • 46
    • 0025399242 scopus 로고
    • On a stress resultant geometrically exact shell model. Part III: Computational aspects of the nonlinear theory
    • Simo J. Fox D. Rifai M. On a stress resultant geometrically exact shell model. Part III: Computational aspects of the nonlinear theory Comput. Methods Appl. Mech. Engrg. 79 1990 21-70
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.79 , pp. 21-70
    • Simo, J.1    Fox, D.2    Rifai, M.3


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