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Volumn 198, Issue 27-29, 2009, Pages 2087-2098

A variational formulation for finite deformation wrinkling analysis of inelastic membranes

Author keywords

Energy relaxation; Finite element method; Finite strain plasticity; Membranes; Variational constitutive updates; Variational principles; Wrinkling

Indexed keywords

ENERGY RELAXATION; FINITE STRAIN PLASTICITY; VARIATIONAL CONSTITUTIVE UPDATES; VARIATIONAL PRINCIPLES; WRINKLING;

EID: 65249101580     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2009.02.001     Document Type: Article
Times cited : (30)

References (36)
  • 8
    • 33646841835 scopus 로고    scopus 로고
    • Wrinkle/slack model and finite element dynamics of membranes
    • Miyazaki M. Wrinkle/slack model and finite element dynamics of membranes. Int. J. Numer. Method Engrg. 66 (2006) 1179-1209
    • (2006) Int. J. Numer. Method Engrg. , vol.66 , pp. 1179-1209
    • Miyazaki, M.1
  • 9
    • 36048952140 scopus 로고    scopus 로고
    • A wrinkling model based on material modification for isotropic and orthotropic membranes
    • Jarasjarungkiat A., Wuechner R., and Bletzinger K.U. A wrinkling model based on material modification for isotropic and orthotropic membranes. Comput. Method Appl. Mech. Engrg. 197 (2008) 773-788
    • (2008) Comput. Method Appl. Mech. Engrg. , vol.197 , pp. 773-788
    • Jarasjarungkiat, A.1    Wuechner, R.2    Bletzinger, K.U.3
  • 10
    • 65249105106 scopus 로고    scopus 로고
    • D.J. Steigmann, Tension-field theory, Proc. R. Soc. Lond. Ser. A: Math. Phys. Sci. 429 (1990) 141-173.
    • D.J. Steigmann, Tension-field theory, Proc. R. Soc. Lond. Ser. A: Math. Phys. Sci. 429 (1990) 141-173.
  • 11
    • 77955278685 scopus 로고
    • The relaxed energy density for isotropic elastic membranes
    • Pipkin A.C. The relaxed energy density for isotropic elastic membranes. IMA J. Appl. Math. 36 (1986) 85-99
    • (1986) IMA J. Appl. Math. , vol.36 , pp. 85-99
    • Pipkin, A.C.1
  • 12
    • 21144474633 scopus 로고
    • Convexity conditions for strain-dependent energy functions for membranes
    • Pipkin A.C. Convexity conditions for strain-dependent energy functions for membranes. Arch. Rational Mech. Anal. 121 (1993) 361-376
    • (1993) Arch. Rational Mech. Anal. , vol.121 , pp. 361-376
    • Pipkin, A.C.1
  • 13
    • 0028166590 scopus 로고
    • Relaxed energy densities for large deformations of membranes
    • Pipkin A.C. Relaxed energy densities for large deformations of membranes. IMA J. Appl. Math. 52 (1994) 297-308
    • (1994) IMA J. Appl. Math. , vol.52 , pp. 297-308
    • Pipkin, A.C.1
  • 14
    • 0033351710 scopus 로고    scopus 로고
    • On the wrinkling of anisotropic membranes
    • Epstein M. On the wrinkling of anisotropic membranes. J. Elast. 55 (1999) 99-109
    • (1999) J. Elast. , vol.55 , pp. 99-109
    • Epstein, M.1
  • 15
    • 36849014825 scopus 로고    scopus 로고
    • A novel variational algorithmic formulation for wrinkling at finite strains based on energy minimization: application to mesh adaption
    • Mosler J. A novel variational algorithmic formulation for wrinkling at finite strains based on energy minimization: application to mesh adaption. Comput. Method Appl. Mech. Engrg. 197 (2008) 1131-1146
    • (2008) Comput. Method Appl. Mech. Engrg. , vol.197 , pp. 1131-1146
    • Mosler, J.1
  • 17
    • 0034559517 scopus 로고    scopus 로고
    • On the prediction of side-wall wrinkling in sheet metal forming processes
    • Wang X., and Cao J. On the prediction of side-wall wrinkling in sheet metal forming processes. Int. J. Mech. Sci. 42 (2000) 2369-2394
    • (2000) Int. J. Mech. Sci. , vol.42 , pp. 2369-2394
    • Wang, X.1    Cao, J.2
  • 18
    • 34247517767 scopus 로고    scopus 로고
    • Geometrically driven wrinkling observed in free plastic sheets and leaves
    • Sharon E., Roman B., and Swinney H.L. Geometrically driven wrinkling observed in free plastic sheets and leaves. Phys. Rev. E 75 4 (2007)
    • (2007) Phys. Rev. E , vol.75 , Issue.4
    • Sharon, E.1    Roman, B.2    Swinney, H.L.3
  • 20
    • 10844236306 scopus 로고    scopus 로고
    • Wrinkling analysis of membranes with elastic-plastic material behavior
    • Hornig J., and Schoop H. Wrinkling analysis of membranes with elastic-plastic material behavior. Comput. Mech. 35 (2005) 153-160
    • (2005) Comput. Mech. , vol.35 , pp. 153-160
    • Hornig, J.1    Schoop, H.2
  • 21
    • 33747403465 scopus 로고    scopus 로고
    • On the numerical implementation of variational arbitrary Lagrangian-Eulerian (VALE) formulations
    • Mosler J., and Ortiz M. On the numerical implementation of variational arbitrary Lagrangian-Eulerian (VALE) formulations. Int. J. Numer. Method Engrg. 67 (2006) 1272-1289
    • (2006) Int. J. Numer. Method Engrg. , vol.67 , pp. 1272-1289
    • Mosler, J.1    Ortiz, M.2
  • 22
    • 35448969318 scopus 로고    scopus 로고
    • Variational h-adaption in finite deformation elasticity and plasticity
    • Mosler J., and Ortiz M. Variational h-adaption in finite deformation elasticity and plasticity. Int. J. Numer. Method Engrg. 72 (2007) 505-523
    • (2007) Int. J. Numer. Method Engrg. , vol.72 , pp. 505-523
    • Mosler, J.1    Ortiz, M.2
  • 23
    • 65249162465 scopus 로고    scopus 로고
    • J. Mosler, On the numerical modeling of localized material failure at finite strains by means of variational mesh adaption and cohesive elements. Habilitation, Ruhr University Bochum, Germany, 2007.
    • J. Mosler, On the numerical modeling of localized material failure at finite strains by means of variational mesh adaption and cohesive elements. Habilitation, Ruhr University Bochum, Germany, 2007.
  • 24
    • 0035838509 scopus 로고    scopus 로고
    • 1-conforming subdivision elements for finite deformation thin-shell analysis
    • 1-conforming subdivision elements for finite deformation thin-shell analysis. Int. J. Numer. Method Engrg. 51 (2001) 813-833
    • (2001) Int. J. Numer. Method Engrg. , vol.51 , pp. 813-833
    • Cirak, F.1    Ortiz, M.2
  • 25
    • 0033115065 scopus 로고    scopus 로고
    • The variational formulation of viscoplastic constitutive updates
    • Ortiz M., and Stainier L. The variational formulation of viscoplastic constitutive updates. Comput. Method Appl. Mech. Engrg. 171 (1999) 419-444
    • (1999) Comput. Method Appl. Mech. Engrg. , vol.171 , pp. 419-444
    • Ortiz, M.1    Stainier, L.2
  • 27
    • 67049125713 scopus 로고    scopus 로고
    • Non-convex potentials and microstructures in finite-strain plasticity
    • Carstensen C., Hackl K., and Mielke A. Non-convex potentials and microstructures in finite-strain plasticity. Proc. R. Soc. Lond. A 458 (2002) 299-317
    • (2002) Proc. R. Soc. Lond. A , vol.458 , pp. 299-317
    • Carstensen, C.1    Hackl, K.2    Mielke, A.3
  • 28
    • 0016433301 scopus 로고
    • Sur les matériaux standards généralisés
    • Halphen B., and Nguyen Q.S. Sur les matériaux standards généralisés. J. Méch. 14 (1975) 39-63
    • (1975) J. Méch. , vol.14 , pp. 39-63
    • Halphen, B.1    Nguyen, Q.S.2
  • 29
    • 70350313479 scopus 로고    scopus 로고
    • Numerical analysis and simulation of plasticity
    • Ciarlet P.G., and Lions J.J. (Eds), Elsevier, Amsterdam
    • Simo J.C. Numerical analysis and simulation of plasticity. In: Ciarlet P.G., and Lions J.J. (Eds). Handbook for Numerical Analysis vol. IV (1998), Elsevier, Amsterdam
    • (1998) Handbook for Numerical Analysis , vol.IV
    • Simo, J.C.1
  • 30
    • 0033114818 scopus 로고    scopus 로고
    • Adaptive numerical analysis in primal elastoplasticity with hardening
    • Alberty J., Carstensen C., and Zarrabi D. Adaptive numerical analysis in primal elastoplasticity with hardening. Comput. Method Appl. Mech. Engrg. 171 (1999) 175-204
    • (1999) Comput. Method Appl. Mech. Engrg. , vol.171 , pp. 175-204
    • Alberty, J.1    Carstensen, C.2    Zarrabi, D.3
  • 32
    • 33646887390 scopus 로고
    • On the limited memory method for large scale optimization
    • Liu D.C., and Nocedal J. On the limited memory method for large scale optimization. Math. Program. B 45 3 (1989) 503-528
    • (1989) Math. Program. B , vol.45 , Issue.3 , pp. 503-528
    • Liu, D.C.1    Nocedal, J.2
  • 35
    • 33644819983 scopus 로고    scopus 로고
    • A variational formulation of constitutive models and updates in non-linear finite viscoelasticity
    • Fancello E., Ponthot J.-P., and Stainier L. A variational formulation of constitutive models and updates in non-linear finite viscoelasticity. Int. J. Numer. Method Engrg. 65 (2006) 1831-1864
    • (2006) Int. J. Numer. Method Engrg. , vol.65 , pp. 1831-1864
    • Fancello, E.1    Ponthot, J.-P.2    Stainier, L.3
  • 36
    • 28844502348 scopus 로고    scopus 로고
    • A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids
    • Yang Q., Stainier L., and Ortiz M. A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids. J. Mech. Phys. Solid 54 (2006) 401-424
    • (2006) J. Mech. Phys. Solid , vol.54 , pp. 401-424
    • Yang, Q.1    Stainier, L.2    Ortiz, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.