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Volumn 39, Issue 4, 2007, Pages 381-399

On the analysis of an EFG method under large deformations and volumetric locking

Author keywords

EFG; Finite strains; Mesh free; Volumetric locking

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; DEFORMATION; PLASTICITY; STRAIN; VOLUMETRIC ANALYSIS;

EID: 33846215566     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-006-0035-z     Document Type: Article
Times cited : (14)

References (35)
  • 1
    • 0035841941 scopus 로고    scopus 로고
    • An updated Lagrangian finite element sensitivity analysis of large deformations using quadrilateral elements
    • Akkaram S, Zabaras N (2001) "An updated Lagrangian finite element sensitivity analysis of large deformations using quadrilateral elements". Int J Numer Methods Eng 52:1131-1163
    • (2001) Int J Numer Methods Eng , vol.52 , pp. 1131-1163
    • Akkaram, S.1    Zabaras, N.2
  • 2
    • 0043132011 scopus 로고    scopus 로고
    • A modified element-free Galerkin method with essential boundary conditions, enforced by an extended partition of unity finite element weight function
    • Alves, MK, Rossi, R (2003) "A modified element-free Galerkin method with essential boundary conditions, enforced by an extended partition of unity finite element weight function". Int J Numer Methods Eng 57:1523-1552
    • (2003) Int J Numer Methods Eng , vol.57 , pp. 1523-1552
    • Alves, M.K.1    Rossi, R.2
  • 3
    • 23244460263 scopus 로고    scopus 로고
    • An extension of the partition of unity finite element method
    • Alves, MK, Rossi, R (2005) "An extension of the partition of unity finite element method. J Barz Soc Mech Sci Eng XXVII(3):209-216
    • (2005) J Barz Soc Mech Sci Eng XXVII , pp. 209-216
    • Alves, M.K.1    Rossi, R.2
  • 4
    • 0032675964 scopus 로고    scopus 로고
    • Conditions for locking-free elasto-plastic analyses in the Element-Free Galerkin method
    • Askes, H, De Borst, R, Heeres, O (1999) "Conditions for locking-free elasto-plastic analyses in the Element-Free Galerkin method". Comput Methods Appl Mechan Eng 173:99-109
    • (1999) Comput Methods Appl Mechan Eng , vol.173 , pp. 99-109
    • Askes, H.1    De Borst, R.2    Heeres, O.3
  • 5
    • 0030107160 scopus 로고    scopus 로고
    • Dynamic fracture using element-free Galerkin methods
    • Belytschko, T, Tabbara, M (1996) "Dynamic fracture using element-free Galerkin methods". Int J Numer Methods Eng 39:923-938
    • (1996) Int J Numer Methods Eng , vol.39 , pp. 923-938
    • Belytschko, T.1    Tabbara, M.2
  • 7
    • 0029507340 scopus 로고
    • A coupled finite element-element-free Galerkin method
    • Belytschko, T, Organ, D, Krongauz, Y (1995) "A coupled finite element-element-free Galerkin method". Comput Mechanics 17(3): 186-195
    • (1995) Comput Mechanics , vol.17 , Issue.3 , pp. 186-195
    • Belytschko, T.1    Organ, D.2    Krongauz, Y.3
  • 8
    • 0032646683 scopus 로고    scopus 로고
    • Volumetric locking in the element free Galerkin method
    • Dolbow, J, Belytschko, T (1999) "Volumetric locking in the element free Galerkin method". Int J Numer Methods Eng 46:925-942
    • (1999) Int J Numer Methods Eng , vol.46 , pp. 925-942
    • Dolbow, J.1    Belytschko, T.2
  • 10
    • 0025497179 scopus 로고
    • A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
    • Eterovic, AL, Bathe, KJ (1990) "A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures". Int J Numer Methods Eng 30:1099-1114
    • (1990) Int J Numer Methods Eng , vol.30 , pp. 1099-1114
    • Eterovic, A.L.1    Bathe, K.J.2
  • 11
    • 0034226239 scopus 로고    scopus 로고
    • Penalty functions in constrained variational principles for element free Galerkin method
    • Gavete, L, Benito, JJ, Falcón, S, Ruiz, A (2000) "Penalty functions in constrained variational principles for element free Galerkin method". Eur J Mech A/Solids 19(4):699-720
    • (2000) Eur J Mech A/Solids , vol.19 , Issue.4 , pp. 699-720
    • Gavete, L.1    Benito, J.J.2    Falcón, S.3    Ruiz, A.4
  • 12
    • 0032154328 scopus 로고    scopus 로고
    • Implementation of boundary conditions for meshless methods
    • Günther, FC, Liu, WK (1998) "Implementation of boundary conditions for meshless methods". Comput Methods Appl Mechanics Eng 163:205-230
    • (1998) Comput Methods Appl Mechanics Eng , vol.163 , pp. 205-230
    • Günther, F.C.1    Liu, W.K.2
  • 13
    • 0030216871 scopus 로고    scopus 로고
    • Element-free Galerkin methods in combination with finite element approaches
    • Hegen, D (1996) "Element-free Galerkin methods in combination with finite element approaches". Comput Methods Appl Mechanics Eng 135(1-2): 143-166
    • (1996) Comput Methods Appl Mechanics Eng , vol.135 , Issue.1-2 , pp. 143-166
    • Hegen, D.1
  • 14
    • 0018202497 scopus 로고
    • Aspects of invariance in solid mechanics
    • Hill R (1978) "Aspects of invariance in solid mechanics". Adv Appl Mech 18:1-75
    • (1978) Adv Appl Mech , vol.18 , pp. 1-75
    • Hill, R.1
  • 15
    • 0034246130 scopus 로고    scopus 로고
    • Enrichment and coupling of the finite element and meshless methods
    • Huerta, A, Méndez, SF (2000) "Enrichment and coupling of the finite element and meshless methods". Int J Numer Methods Eng 48:1615-1636
    • (2000) Int J Numer Methods Eng , vol.48 , pp. 1615-1636
    • Huerta, A.1    Méndez, S.F.2
  • 16
    • 0035921162 scopus 로고    scopus 로고
    • Locking in the incompressible limit for the element-free Galerkin method
    • Huerta, A, Méndez, SF(2001) "Locking in the incompressible limit for the element-free Galerkin method". Int J Numer Methods Eng 51:1361-1383
    • (2001) Int J Numer Methods Eng , vol.51 , pp. 1361-1383
    • Huerta, A.1    Méndez, S.F.2
  • 17
    • 0019057349 scopus 로고
    • Generalization of seletive integration procedures to anisotropic and nonlinear media
    • Hughes, TJR (1980) "Generalization of seletive integration procedures to anisotropic and nonlinear media". Int J Numer Methods Eng 15:1413-1418
    • (1980) Int J Numer Methods Eng , vol.15 , pp. 1413-1418
    • Hughes, T.J.R.1
  • 18
    • 0031208524 scopus 로고    scopus 로고
    • An improved element free Galerkin formulation
    • Kaljević I, Saigal, S (1997) "An improved element free Galerkin formulation". Int J Numer Methods Eng 40(16):2953-2974
    • (1997) Int J Numer Methods Eng , vol.40 , Issue.16 , pp. 2953-2974
    • Kaljević, I.1    Saigal, S.2
  • 19
    • 0030120864 scopus 로고    scopus 로고
    • Enforcement of essential boundary conditions in meshless approximations using finite elements
    • Krongauz, Y, Belytschko, T (1996) "Enforcement of essential boundary conditions in meshless approximations using finite elements". Comput Methods Appl Mechanics Eng 131(1-2): 133-145
    • (1996) Comput Methods Appl Mechanics Eng , vol.131 , Issue.1-2 , pp. 133-145
    • Krongauz, Y.1    Belytschko, T.2
  • 20
    • 84966237423 scopus 로고
    • Surfaces generated by moving least square methods
    • Lancaster, P, Salkuskas, K (1981) "Surfaces generated by moving least square methods". Math Comput 37:141-158
    • (1981) Math Comput , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkuskas, K.2
  • 21
    • 0031119696 scopus 로고    scopus 로고
    • Moving least-square reproducing kernel methods (I) Methodology and convergence
    • Liu, WK, Li, S, Belytschko T (1997) "Moving least-square reproducing kernel methods (I) Methodology and convergence". Comput Methods Appl Mechanics Eng 147:113-154
    • (1997) Comput Methods Appl Mechanics Eng , vol.147 , pp. 113-154
    • Liu, W.K.1    Li, S.2    Belytschko, T.3
  • 22
    • 0035977399 scopus 로고    scopus 로고
    • The computation of exponential and logarithmic mappings and their fisrt and second linearizations
    • Ortiz M, Radovitzky, RA, Repeto, EA (2001) "The computation of exponential and logarithmic mappings and their fisrt and second linearizations". Int J Numer Methods Eng 52:1431-1441
    • (2001) Int J Numer Methods Eng , vol.52 , pp. 1431-1441
    • Ortiz, M.1    Radovitzky, R.A.2    Repeto, E.A.3
  • 23
    • 0034499219 scopus 로고    scopus 로고
    • Some observations on the enforcement of constraint equations in the EFG method
    • Pannachet, T, Askes, H (2000) "Some observations on the enforcement of constraint equations in the EFG method". Commun Numer Methods Eng 16(12):819-930
    • (2000) Commun Numer Methods Eng , vol.16 , Issue.12 , pp. 819-930
    • Pannachet, T.1    Askes, H.2
  • 24
    • 3042820708 scopus 로고    scopus 로고
    • Recovery Based Error Estimation and Adaptivity Applied to a Modified Element-Free Galerkin Method
    • Rossi, R, Alves, MK (2004) "Recovery Based Error Estimation and Adaptivity Applied to a Modified Element-Free Galerkin Method". Comput Mech 33(3): 194-205
    • (2004) Comput Mech , vol.33 , Issue.3 , pp. 194-205
    • Rossi, R.1    Alves, M.K.2
  • 25
    • 25144469305 scopus 로고    scopus 로고
    • An h-adaptive modified element-free Galerkin method
    • Rossi, R, Alves, MK (2005) "An h-adaptive modified element-free Galerkin method". Eur J Mech A/Solids 24:782-799
    • (2005) Eur J Mech A/Solids , vol.24 , pp. 782-799
    • Rossi, R.1    Alves, M.K.2
  • 26
    • 0026867998 scopus 로고
    • Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
    • Simo, JC, Armero, F (1992) "Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes". Int J Numer Methods Eng 33:1413-1449
    • (1992) Int J Numer Methods Eng , vol.33 , pp. 1413-1449
    • Simo, J.C.1    Armero, F.2
  • 27
    • 0025449315 scopus 로고
    • A class of mixed assumed strain methods and the method of incompatible modes
    • Simo, JC, Rifai S (1990) "A class of mixed assumed strain methods and the method of incompatible modes". Int J Numer Methods Eng 29:1595-1638
    • (1990) Int J Numer Methods Eng , vol.29 , pp. 1595-1638
    • Simo, J.C.1    Rifai, S.2
  • 28
    • 0030215041 scopus 로고    scopus 로고
    • Design of simple low order finite elements for large strain analysis of nearly incompressible solids
    • Souza NetoEA, Peric, D, Dutko, M, Owen, DRJ (1996) "Design of simple low order finite elements for large strain analysis of nearly incompressible solids". Int J Solids Struct 33:3277-3296
    • (1996) Int J Solids Struct , vol.33 , pp. 3277-3296
    • NetoEA, S.1    Peric, D.2    Dutko, M.3    Owen, D.R.J.4
  • 30
    • 0037050712 scopus 로고    scopus 로고
    • An augmented Lagrangian approach to essential boundary conditions in meshless methods
    • Ventura, G (2002) "An augmented Lagrangian approach to essential boundary conditions in meshless methods". Int J Numer Methods Eng 53:825-842
    • (2002) Int J Numer Methods Eng , vol.53 , pp. 825-842
    • Ventura, G.1
  • 31
    • 0141676058 scopus 로고    scopus 로고
    • Locking in the incompressible limit:pseudo-divergence-free element free Galerkin
    • Vidal, Y, Villon, P Huerta, A (2003) "Locking in the incompressible limit:pseudo-divergence-free element free Galerkin". Commun Numer Methods Eng 19:725-735
    • (2003) Commun Numer Methods Eng , vol.19 , pp. 725-735
    • Vidal, Y.1    Villon, P.2    Huerta, A.3
  • 32
    • 0025401322 scopus 로고
    • Finite deformation constitutive equations and a time integration procedure for Isotropic hyperelastic-viscoplastic solids
    • Weber G, Anand, L (1990) "Finite deformation constitutive equations and a time integration procedure for Isotropic" hyperelastic-viscoplastic solids. Comput Methods Appl Mechanics Eng 79:173-202
    • (1990) Comput Methods Appl Mechanics Eng , vol.79 , pp. 173-202
    • Weber, G.1    Anand, L.2
  • 33
    • 0037053165 scopus 로고    scopus 로고
    • A p-adaptive scheme for overcoming volumetric locking during plastic flow
    • Wells, GN, Sluys, LJ, De Borst, R (2002) "A p-adaptive scheme for overcoming volumetric locking during plastic flow". Comput Methods Appl Mechanics Eng 191:3153-3164
    • (2002) Comput Methods Appl Mechanics Eng , vol.191 , pp. 3153-3164
    • Wells, G.N.1    Sluys, L.J.2    De Borst, R.3
  • 34
    • 0035280549 scopus 로고    scopus 로고
    • Imposition of essential boundary conditions by displacement constraint equations in meshless methods
    • Zhang, X, Liu, X, Song, KZ, Lu, MW (2001) "Imposition of essential boundary conditions by displacement constraint equations in meshless methods". Commun Numer Methods Eng 17(3): 165-178
    • (2001) Commun Numer Methods Eng , vol.17 , Issue.3 , pp. 165-178
    • Zhang, X.1    Liu, X.2    Song, K.Z.3    Lu, M.W.4
  • 35
    • 0032048673 scopus 로고    scopus 로고
    • Modified collocation method and a penalty function for enforcing the essential boundary conditions in the element free Galerkin method
    • Zhu, T, Atluri, N (1998) "Modified collocation method and a penalty function for enforcing the essential boundary conditions in the element free Galerkin method". Comput Mech 21: 211-222
    • (1998) Comput Mech , vol.21 , pp. 211-222
    • Zhu, T.1    Atluri, N.2


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