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Volumn 152, Issue 1-2, 1998, Pages 19-46

Arbitrary Lagrangian-Eulerian formulation for element-free Galerkin method

Author keywords

[No Author keywords available]

Indexed keywords

CRACK PROPAGATION; FINITE ELEMENT METHOD; INTERPOLATION; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0031698536     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00180-1     Document Type: Article
Times cited : (78)

References (92)
  • 2
    • 0042663633 scopus 로고
    • Finite elements and volumes in a Euler Lagrange formulation - Artificial dissipation versus limited flux schemes
    • E. Oñate and D.R.J. Owen, eds., Barcelona, Spain
    • R. Akkerman, J. Huètink and P.N. van der Helm, Finite elements and volumes in a Euler Lagrange formulation - artificial dissipation versus limited flux schemes, in: E. Oñate and D.R.J. Owen, eds., Int. Conf. on Computational Plasticity, Barcelona, Spain (1995) 2307-2318.
    • (1995) Int. Conf. on Computational Plasticity , pp. 2307-2318
    • Akkerman, R.1    Huètink, J.2    Van Der Helm, P.N.3
  • 4
    • 0027579971 scopus 로고
    • An U-ALE formulation for 3-D unsteady viscoelastic flow
    • F.P.T. Baaijens, An U-ALE formulation for 3-D unsteady viscoelastic flow. Int. J. Numer. Methods Engrg. 36 (1993) 1115-1143.
    • (1993) Int. J. Numer. Methods Engrg. , vol.36 , pp. 1115-1143
    • Baaijens, F.P.T.1
  • 5
    • 0003537977 scopus 로고
    • Technical Report BN-1185, Inst. for Phys. Sc. and Tech., University of Maryland, Maryland
    • I. Babuška and J.M. Melenk, The partition of unity finite element method, Technical Report BN-1185, Inst. for Phys. Sc. and Tech., University of Maryland, Maryland, 1995.
    • (1995) The Partition of Unity Finite Element Method
    • Babuška, I.1    Melenk, J.M.2
  • 6
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: Basic theory and applications
    • I. Babuška and J.M. Melenk, The partition of unity finite element method: Basic theory and applications, Comput. Methods Appl. Mech. Engrg. 139 (1996) 289-315.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.139 , pp. 289-315
    • Babuška, I.1    Melenk, J.M.2
  • 7
    • 0019609611 scopus 로고
    • Finite element methods with user-controlled meshes for fluid-structure interaction
    • T. Belytschko, D.P. Flanagan and J.M. Kennedy, Finite element methods with user-controlled meshes for fluid-structure interaction, Comput. Methods Appl. Mech. Engrg. 33 (1982) 669-688.
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.33 , pp. 669-688
    • Belytschko, T.1    Flanagan, D.P.2    Kennedy, J.M.3
  • 8
    • 42549172985 scopus 로고
    • Fracture and crack growth by element-free Galerkin methods
    • T. Belytschko, L. Gu and Y.Y. Lu, Fracture and crack growth by element-free Galerkin methods, Modell. Simul. Mater. Sci. Engrg. 2 (1994) 519-534.
    • (1994) Modell. Simul. Mater. Sci. Engrg. , vol.2 , pp. 519-534
    • Belytschko, T.1    Gu, L.2    Lu, Y.Y.3
  • 10
    • 0017993954 scopus 로고
    • Computer models for subassembly simulation
    • T. Belytschko and J.M. Kennedy, Computer models for subassembly simulation, Nucl. Engrg. Des. 49(1) (1978) 17-38.
    • (1978) Nucl. Engrg. Des. , vol.49 , Issue.1 , pp. 17-38
    • Belytschko, T.1    Kennedy, J.M.2
  • 11
    • 0018985038 scopus 로고
    • Quasi-Eulerian finite element formulation for fluid-structure interaction
    • T. Belytschko, J.M. Kennedy and D.F. Schoeberle, Quasi-Eulerian finite element formulation for fluid-structure interaction, J. Pressure Vessel Technol. 102 (1980) 62-69.
    • (1980) J. Pressure Vessel Technol. , vol.102 , pp. 62-69
    • Belytschko, T.1    Kennedy, J.M.2    Schoeberle, D.F.3
  • 13
    • 0000844597 scopus 로고
    • Crack propagation by element-free Galerkin methods
    • T. Belytschko, Y.Y. Lu and L. Gu, Crack propagation by element-free Galerkin methods, Engrg. Fracture Mech. 51(2) (1995) 295-315.
    • (1995) Engrg. Fracture Mech. , vol.51 , Issue.2 , pp. 295-315
    • Belytschko, T.1    Lu, Y.Y.2    Gu, L.3
  • 14
    • 0029378909 scopus 로고
    • Element-free Galerkin methods for static and dynamic fracture
    • T. Belytschko, Y.Y. Lu, L. Gu and M. Tabbara, Element-free Galerkin methods for static and dynamic fracture, Int. J. Solids Struct. 32(17-18) (1995) 2547-2570.
    • (1995) Int. J. Solids Struct. , vol.32 , Issue.17-18 , pp. 2547-2570
    • Belytschko, T.1    Lu, Y.Y.2    Gu, L.3    Tabbara, M.4
  • 16
    • 0029507340 scopus 로고
    • A coupled finite element-element-free Galerkin method
    • T. Belytschko, D. Organ and Y. Krongauz, A coupled finite element-element-free Galerkin method, Comput. Mech. 17 (1995) 186-195.
    • (1995) Comput. Mech. , vol.17 , pp. 186-195
    • Belytschko, T.1    Organ, D.2    Krongauz, Y.3
  • 17
    • 0030107160 scopus 로고    scopus 로고
    • Dynamic fracture using element-free Galerkin methods
    • T. Belytschko and M. Tabbara, Dynamic fracture using element-free Galerkin methods, Int. J. Numer Methods Engrg. 39 (1996) 923-938.
    • (1996) Int. J. Numer Methods Engrg. , vol.39 , pp. 923-938
    • Belytschko, T.1    Tabbara, M.2
  • 18
    • 0024621791 scopus 로고
    • An efficient, accurate, simple ALE method for nonlinear finite element programs
    • D.J. Benson, An efficient, accurate, simple ALE method for nonlinear finite element programs, Comput. Methods Appl. Mech. Engrg. (1989) 305-350.
    • (1989) Comput. Methods Appl. Mech. Engrg. , pp. 305-350
    • Benson, D.J.1
  • 19
    • 0026923198 scopus 로고
    • Computational methods in Lagrangian and Eulerian hydrocodes
    • D.J. Benson, Computational methods in Lagrangian and Eulerian hydrocodes, Comput. Methods Appl. Mech. Engrg. 99 (1992) 235-394.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.99 , pp. 235-394
    • Benson, D.J.1
  • 20
    • 28144458364 scopus 로고
    • Momentum advection on a staggered mesh
    • D.J. Benson, Momentum advection on a staggered mesh, J. Comput. Phys. 100 (1992) 143-162.
    • (1992) J. Comput. Phys. , vol.100 , pp. 143-162
    • Benson, D.J.1
  • 21
    • 0019607241 scopus 로고
    • Streamline Upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • A.N. Brooks and T.J.R. Hughes, Streamline Upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg. 32 (1982) 199-259.
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.32 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 22
    • 0006954855 scopus 로고
    • Finite element calculation of hot forging with continuous remeshing
    • J.L. Chenot and E. Oñate, eds., EUROMECH-233 Sophia-Antipolis, France
    • J.P. Cescutti, E. Wey and J.L. Chenot, Finite element calculation of hot forging with continuous remeshing, in: J.L. Chenot and E. Oñate, eds., Modelling of Metal Forming Processes, EUROMECH-233 (Sophia-Antipolis, France, 1988) 207-216.
    • (1988) Modelling of Metal Forming Processes , pp. 207-216
    • Cescutti, J.P.1    Wey, E.2    Chenot, J.L.3
  • 24
    • 0038292815 scopus 로고
    • Finite element analysis of transient dynamic fluid-structure interaction
    • J. Donéa, ed., Advanced Science Publishers
    • J. Donéa, Finite element analysis of transient dynamic fluid-structure interaction, in: J. Donéa, ed., Advanced Structural Dynamics (Advanced Science Publishers, 1978) 255-290.
    • (1978) Advanced Structural Dynamics , pp. 255-290
    • Donéa, J.1
  • 25
    • 0020860514 scopus 로고
    • Arbitrary Lagrangian-Eulerian finite element methods
    • T. Belytschko and T.J.R. Hughes, eds., Chap. 10 North Holland
    • J. Donéa, Arbitrary Lagrangian-Eulerian finite element methods, in: T. Belytschko and T.J.R. Hughes, eds., Computational Methods for Transient Analysis, Chap. 10 (North Holland, 1983) 474-516.
    • (1983) Computational Methods for Transient Analysis , pp. 474-516
    • Donéa, J.1
  • 26
    • 0019609566 scopus 로고
    • An Arbitrary Lagrangian-Eulerian FEM for transient dynamic fluid-structure interactions
    • J. Donéa, S. Giuliani and J.P. Halleux, An Arbitrary Lagrangian-Eulerian FEM for transient dynamic fluid-structure interactions, Comput. Methods Appl. Mech. Engrg. 33 (1982) 689-723.
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.33 , pp. 689-723
    • Donéa, J.1    Giuliani, S.2    Halleux, J.P.3
  • 28
    • 0030412998 scopus 로고    scopus 로고
    • Hp clouds - A meshless method to solve boundary-value problems
    • C.A. Duarte and J.T. Oden, Hp clouds - A meshless method to solve boundary-value problems, Comput. Methods Appl. Mech. Engrg. 139 (1996) 237-262.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.139 , pp. 237-262
    • Duarte, C.A.1    Oden, J.T.2
  • 32
    • 0026117509 scopus 로고
    • An Arbitrary Lagrangian-Eulerian FEM for large deformation analysis for elastic-viscoplastic solids
    • S. Ghosh and N. Kikuchi, An Arbitrary Lagrangian-Eulerian FEM for large deformation analysis for elastic-viscoplastic solids, Comput. Methods Appl. Mech. Engrg. 86 (1991) 127-188.
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.86 , pp. 127-188
    • Ghosh, S.1    Kikuchi, N.2
  • 33
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: Theory and application to non-spherical stars
    • R.A. Gingold and J.J. Monaghan, Smoothed particle hydrodynamics: theory and application to non-spherical stars, Mon. Not. R. Astr. Soc. 181 (1977) 375-389.
    • (1977) Mon. Not. R. Astr. Soc. , vol.181 , pp. 375-389
    • Gingold, R.A.1    Monaghan, J.J.2
  • 34
    • 0020178474 scopus 로고
    • An algorithm for continuous rezoning of the hydrodynamic grid in Arbitrary Lagrangian-Eulerian computer codes
    • S. Giuliani, An algorithm for continuous rezoning of the hydrodynamic grid in Arbitrary Lagrangian-Eulerian computer codes, Nucl. Engrg. Des. 72(2) (1982) 205-212.
    • (1982) Nucl. Engrg. Des. , vol.72 , Issue.2 , pp. 205-212
    • Giuliani, S.1
  • 35
    • 0021604160 scopus 로고
    • Computational strategies for nonlinear and fracture mechanics problems. An Eulerian-Lagrangian finite element approach to large deformation frictional contact
    • R.B. Haber and B.J. Hariandja, Computational strategies for nonlinear and fracture mechanics problems. An Eulerian-Lagrangian finite element approach to large deformation frictional contact, Comput. Struct. 20(1-3) (1985) 193-201.
    • (1985) Comput. Struct. , vol.20 , Issue.1-3 , pp. 193-201
    • Haber, R.B.1    Hariandja, B.J.2
  • 36
    • 0030216871 scopus 로고    scopus 로고
    • Element-free galerkin methods in combination with finite element approaches
    • D. Hegen, Element-free Galerkin methods in combination with finite element approaches, Comput. Methods Appl. Mech. Engrg. 135 (1996) 143-166.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.135 , pp. 143-166
    • Hegen, D.1
  • 37
    • 0028007928 scopus 로고
    • New ALE applications in nonlinear fast transient solid dynamics
    • A. Huerta and F. Casadei, New ALE applications in nonlinear fast transient solid dynamics, Engrg. Comput. 11 (1994) 317-345.
    • (1994) Engrg. Comput. , vol.11 , pp. 317-345
    • Huerta, A.1    Casadei, F.2
  • 38
    • 0000062927 scopus 로고
    • ALE stress update in transient plasticity problems
    • E. Oñate and D.R.J. Owen, eds., Barcelona, Spain
    • A. Huerta, F. Casadei and J. Donéa, ALE stress update in transient plasticity problems, in: E. Oñate and D.R.J. Owen, eds., International Conference on Computational Plasticity, Barcelona, Spain (1995) 1865-1876.
    • (1995) International Conference on Computational Plasticity , pp. 1865-1876
    • Huerta, A.1    Casadei, F.2    Donéa, J.3
  • 39
    • 0345614970 scopus 로고
    • On Euler-Lagrange finite element formulation in forming and fluid problems
    • J.L. Chenot, R.D. Wood and O. Zienkiewicz, eds, Sophia-Antipolis, France
    • J. Huètink and P.N. van der Helm, On Euler-Lagrange finite element formulation in forming and fluid problems, in: J.L. Chenot, R.D. Wood and O. Zienkiewicz, eds, Numerical Methods in Industrial Forming Processes (Sophia-Antipolis, France, 1992) 45-54.
    • (1992) Numerical Methods in Industrial Forming Processes , pp. 45-54
    • Huètink, J.1    Van Der Helm, P.N.2
  • 40
    • 0025536988 scopus 로고
    • Progress in mixed Eulerian-Lagrangian finite element simulation of forming processes
    • J. Huètink and J. van der Lugt, Progress in mixed Eulerian-Lagrangian finite element simulation of forming processes, Int. J. Numer. Methods Engrg. 30 (1990) 1441-1457.
    • (1990) Int. J. Numer. Methods Engrg. , vol.30 , pp. 1441-1457
    • Huètink, J.1    Van Der Lugt, J.2
  • 42
    • 0001770579 scopus 로고
    • Numerical implementation of constitutive models: Rate-independent deviatoric plasticity
    • S. Nemat-Nasser, R.J. Asaro and G.A. Hegemier, eds., M. Nijhoff
    • T.J.R. Hughes, Numerical implementation of constitutive models: Rate-independent deviatoric plasticity, in: S. Nemat-Nasser, R.J. Asaro and G.A. Hegemier, eds., Theoretical Foundation for Large-Scale Computations of Non-linear Material Behavior (M. Nijhoff, 1983).
    • (1983) Theoretical Foundation for Large-scale Computations of Non-linear Material Behavior
    • Hughes, T.J.R.1
  • 43
    • 0019718251 scopus 로고
    • Lagrangian Eulerian finite element formulation for incompressible viscous flows
    • T.J.R. Hughes, W.K. Liu and T.K. Zimmerman, Lagrangian Eulerian finite element formulation for incompressible viscous flows, Comput. Methods Appl. Mech. Engrg. 29 (1981) 329-349.
    • (1981) Comput. Methods Appl. Mech. Engrg. , vol.29 , pp. 329-349
    • Hughes, T.J.R.1    Liu, W.K.2    Zimmerman, T.K.3
  • 44
    • 0022681271 scopus 로고
    • A new finite element formulation for computational fluid dynamics: II: Beyond SUPG
    • T.J.R. Hughes, M. Mallet and A. Mizukami, A new finite element formulation for computational fluid dynamics: II: beyond SUPG, Comput. Methods Appl. Mech. Engrg. 54 (1986) 341-355.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.54 , pp. 341-355
    • Hughes, T.J.R.1    Mallet, M.2    Mizukami, A.3
  • 45
    • 85013577587 scopus 로고
    • Transition in the failure behavior of dynamically shear loaded cracks
    • J.F. Kalthoff, Transition in the failure behavior of dynamically shear loaded cracks, Appl. Mech. Rev. 43(5) (1990) S247-S250.
    • (1990) Appl. Mech. Rev. , vol.43 , Issue.5
    • Kalthoff, J.F.1
  • 46
    • 0000437550 scopus 로고
    • Failure mode transition at high rates of shear loading
    • C.Y. Chiem, H.D. Kunze and L.W. Meyer, eds.
    • J.F. Kalthoff and S. Winkler, Failure mode transition at high rates of shear loading, in: C.Y. Chiem, H.D. Kunze and L.W. Meyer, eds., Impact Loading and Dynamic Behaviour of Materials, Vol. 1 (1987) 185-195.
    • (1987) Impact Loading and Dynamic Behaviour of Materials , vol.1 , pp. 185-195
    • Kalthoff, J.F.1    Winkler, S.2
  • 47
    • 0025229330 scopus 로고
    • Multiquadrics - A scattered data approximation scheme with application to computational fluid dynamics: I. Surface approximations and partial derivative estimates
    • E.J. Kansa. Multiquadrics - a scattered data approximation scheme with application to computational fluid dynamics: I. Surface approximations and partial derivative estimates, Comput. Math. Applic. 19 (1990) 127-145.
    • (1990) Comput. Math. Applic. , vol.19 , pp. 127-145
    • Kansa, E.J.1
  • 48
    • 0025210711 scopus 로고
    • Multiquadrics - A scattered data approximation scheme with application to computational fluid dynamics: II. Solutions to parabolic, hyperbolic and elliptic partial differential equations
    • E.J. Kansa, Multiquadrics - a scattered data approximation scheme with application to computational fluid dynamics: II. Solutions to parabolic, hyperbolic and elliptic partial differential equations, Comput. Math. Applic. 19 (1990) 147-161.
    • (1990) Comput. Math. Applic. , vol.19 , pp. 147-161
    • Kansa, E.J.1
  • 49
    • 0019746719 scopus 로고
    • Theory and application of a finite element method for Arbitrary Lagrangian-Eulerian fluids and structures
    • J.M. Kennedy and T. Belytschko, Theory and application of a finite element method for Arbitrary Lagrangian-Eulerian fluids and structures. Nucl. Engrg. Des. 68 (1981) 129-146.
    • (1981) Nucl. Engrg. Des. , vol.68 , pp. 129-146
    • Kennedy, J.M.1    Belytschko, T.2
  • 50
    • 0041661672 scopus 로고
    • Current capabilities for simulating the extreme distortion of thin structures subjected to severe impacts
    • A.K. Noor and H.D. Carden, eds., NASA Conference Publication 3223
    • S.W. Key, Current capabilities for simulating the extreme distortion of thin structures subjected to severe impacts, in: A.K. Noor and H.D. Carden, eds., Computational Methods for Crashworthiness (NASA Conference Publication 3223, 1993) 165-184.
    • (1993) Computational Methods for Crashworthiness , pp. 165-184
    • Key, S.W.1
  • 51
    • 0022862066 scopus 로고
    • Elastodynamic formulation of the Eulerian-Lagrangian kinematic description
    • H.M. Koh and R.B. Haber, Elastodynamic formulation of the Eulerian-Lagrangian kinematic description, J. Appl. Mech. 53 (1986) 839-845.
    • (1986) J. Appl. Mech. , vol.53 , pp. 839-845
    • Koh, H.M.1    Haber, R.B.2
  • 52
    • 2342522900 scopus 로고
    • Dynamic crack propagation analysis using Eulerian-Lagrangian kinematic descriptions
    • H.M. Koh, H.S. Lee and R.B. Haber, Dynamic crack propagation analysis using Eulerian-Lagrangian kinematic descriptions, Comput. Mech. (1988) 141-155.
    • (1988) Comput. Mech. , pp. 141-155
    • Koh, H.M.1    Lee, H.S.2    Haber, R.B.3
  • 53
    • 0030120864 scopus 로고    scopus 로고
    • Enforcement of essential boundary conditions in meshless approximations using finite elements
    • Y. Krongauz and T. Belytschko, Enforcement of essential boundary conditions in meshless approximations using finite elements, Comput. Methods Appl. Mech. Engrg. 131 (1996) 133-145.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.131 , pp. 133-145
    • Krongauz, Y.1    Belytschko, T.2
  • 54
    • 0031554859 scopus 로고    scopus 로고
    • Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions
    • accepted for publication
    • P. Krysl and T. Belytschko, Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions, Comput. Methods Appl. Mech. Engrg., accepted for publication.
    • Comput. Methods Appl. Mech. Engrg.
    • Krysl, P.1    Belytschko, T.2
  • 56
    • 0025402632 scopus 로고
    • Fracture initiation due to asymmetric impact loading of an edge cracked plate
    • Y.J. Lee and L.B. Freund, Fracture initiation due to asymmetric impact loading of an edge cracked plate, J. Appl. Mech. 57: (1990) 104-111.
    • (1990) J. Appl. Mech. , vol.57 , pp. 104-111
    • Lee, Y.J.1    Freund, L.B.2
  • 57
    • 0018430665 scopus 로고
    • The finite difference method at arbitrary irregular grids and its applications in applied mechanics
    • T. Liszka and J. Orkisz, The finite difference method at arbitrary irregular grids and its applications in applied mechanics, Comput. Struct. 11 (1980) 83-95.
    • (1980) Comput. Struct. , vol.11 , pp. 83-95
    • Liszka, T.1    Orkisz, J.2
  • 60
    • 0005362062 scopus 로고    scopus 로고
    • Reproducing least square kernel galerkin method, (i) methodology and convergence
    • submitted for publication
    • W.K. Liu, S. Li and T. Belytschko, Reproducing least square kernel Galerkin method, (i) Methodology and convergence, Comput. Methods Appl. Mech. Engrg., submitted for publication.
    • Comput. Methods Appl. Mech. Engrg.
    • Liu, W.K.1    Li, S.2    Belytschko, T.3
  • 61
    • 0019573324 scopus 로고
    • Finite element procedures for fluid-structure interactions and application to liquid storage tanks
    • W.K. Liu, Finite element procedures for fluid-structure interactions and application to liquid storage tanks, Nucl. Engrg. Des. 65 (1981) 221-238.
    • (1981) Nucl. Engrg. Des. , vol.65 , pp. 221-238
    • Liu, W.K.1
  • 62
    • 0022789957 scopus 로고
    • An Arbitrary Lagrangian-Eulerian finite element method for path dependent materials
    • W.K. Liu, T. Belytschko and H. Chang, An Arbitrary Lagrangian-Eulerian finite element method for path dependent materials, Comput. Methods Appl. Mech. Engrg. 58 (1986) 227-245.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.58 , pp. 227-245
    • Liu, W.K.1    Belytschko, T.2    Chang, H.3
  • 63
    • 0024031986 scopus 로고
    • Arbitrary Lagrangian Eulerian Petrov-Galerkin finite element for nonlinear continua
    • W.K. Liu, H. Chang, J.S. Chen and T. Belytschko, Arbitrary Lagrangian Eulerian Petrov-Galerkin finite element for nonlinear continua, Comput. Methods Appl. Mech. Engrg., 68 (1988) 259-310.
    • (1988) Comput. Methods Appl. Mech. Engrg. , vol.68 , pp. 259-310
    • Liu, W.K.1    Chang, H.2    Chen, J.S.3    Belytschko, T.4
  • 64
    • 0026388494 scopus 로고
    • Adaptive ALE finite elements with particular reference to external work rate on frictional interface
    • W.K. Liu, J.S. Chen, T. Belytschko and Y.F. Zhang, Adaptive ALE finite elements with particular reference to external work rate on frictional interface, Comput. Methods Appl. Mech. 93 (1991) 189-216.
    • (1991) Comput. Methods Appl. Mech. , vol.93 , pp. 189-216
    • Liu, W.K.1    Chen, J.S.2    Belytschko, T.3    Zhang, Y.F.4
  • 65
    • 0020163157 scopus 로고
    • Computer implementation aspects for fluid-structure interactions problems
    • W.K. Liu and D.C. Ma, Computer implementation aspects for fluid-structure interactions problems, Comput. Methods Appl. Mech. Engrg. 31 (1982) 129-148.
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.31 , pp. 129-148
    • Liu, W.K.1    Ma, D.C.2
  • 68
    • 0023165466 scopus 로고
    • An introduction to SPH
    • J.J. Monaghan, An introduction to SPH, Comput. Phys. Comm. 48 (1982) 89-96.
    • (1982) Comput. Phys. Comm. , vol.48 , pp. 89-96
    • Monaghan, J.J.1
  • 69
    • 0023513526 scopus 로고
    • Crack tip and associated domain integrals from momentum and energy balance
    • B. Moran and C.F. Shih, Crack tip and associated domain integrals from momentum and energy balance, Engrg. Fract. Mech. 27(6) (1987) 615-641.
    • (1987) Engrg. Fract. Mech. , vol.27 , Issue.6 , pp. 615-641
    • Moran, B.1    Shih, C.F.2
  • 70
    • 0023594596 scopus 로고
    • A general treatment of crack tip contour integrals
    • B. Moran and C.F. Shih, A general treatment of crack tip contour integrals, Int. J. Fract. 35 (1987) 295-310.
    • (1987) Int. J. Fract. , vol.35 , pp. 295-310
    • Moran, B.1    Shih, C.F.2
  • 71
    • 0022026330 scopus 로고
    • Computational methods based on an energy integral in dynamic fracture
    • T. Nakamura, C.F. Shih and L.B. Freund, Computational methods based on an energy integral in dynamic fracture, Int. J. Fract. 27 (1985) 229-243.
    • (1985) Int. J. Fract. , vol.27 , pp. 229-243
    • Nakamura, T.1    Shih, C.F.2    Freund, L.B.3
  • 72
  • 74
    • 84983666478 scopus 로고    scopus 로고
    • Nuages de points et approximation diffuse
    • Université de Montpellier 2, 1991, Exposé No. 16
    • B. Nayroles, G. Touzot and P. Villon, Nuages de points et approximation diffuse, in: Séminaire d'Analyse Convexe, Université de Montpellier 2, 1991, Exposé No. 16.
    • Séminaire d'Analyse Convexe
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 75
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • B. Nayroles, G. Touzot and P. Villon, Generalizing the finite element method: Diffuse approximation and diffuse elements, Comput. Mech. 10 (1992) 307-318.
    • (1992) Comput. Mech. , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 76
    • 0001699454 scopus 로고
    • CEL: A time-dependent two-space-dimensional, coupled Eulerian-Lagrangian code
    • B. Alder et al., eds., Academic Press, New York
    • W.F. Noh, CEL: a time-dependent two-space-dimensional, coupled Eulerian-Lagrangian code, in: B. Alder et al., eds., Methods in Computational Physics, Fundamental Methods in Hydrodynamics, Vol. 3 (Academic Press, New York, 1964) 117-179.
    • (1964) Methods in Computational Physics, Fundamental Methods in Hydrodynamics , vol.3 , pp. 117-179
    • Noh, W.F.1
  • 77
    • 0028372447 scopus 로고
    • ALE finite element computations of fluid-structure interaction problems
    • T. Nomura, ALE finite element computations of fluid-structure interaction problems, Comput. Methods Appl. Mech. Engrg. 112 (1994) 291-308.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.112 , pp. 291-308
    • Nomura, T.1
  • 78
    • 0026813302 scopus 로고
    • An Arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and a rigid body
    • T. Nomura and T.J.R. Hughes, An Arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and a rigid body, Comput. Methods Appl. Mech. Engrg. 95 (1992) 115-138.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.95 , pp. 115-138
    • Nomura, T.1    Hughes, T.J.R.2
  • 81
    • 0042162650 scopus 로고
    • A method to reduce cost of mesh deformation in Eulerian-Lagrangian formulation
    • J.L. Chenot and E. Oñate, eds., EUROMECH-233 Sophia-Antipolis, France
    • J.P. Ponthot, A method to reduce cost of mesh deformation in Eulerian-Lagrangian formulation, in: J.L. Chenot and E. Oñate, eds., Modelling of Metal Forming Processes, EUROMECH-233 (Sophia-Antipolis, France, 1988) 65-74.
    • (1988) Modelling of Metal Forming Processes , pp. 65-74
    • Ponthot, J.P.1
  • 82
    • 0003402867 scopus 로고
    • The use of the Eulerian-Lagrangian fem with adaptive mesh. Applications to metal forming simulation,
    • D.R.J. Owen and E. Onãte, eds., Barcelona, Spain
    • J.P. Ponthot, The use of the Eulerian-Lagrangian fem with adaptive mesh. Applications to metal forming simulation, in: D.R.J. Owen and E. Onãte, eds., International Conference on Computational Plasticity, Barcelona, Spain (1992) 2269-2281.
    • (1992) International Conference on Computational Plasticity , pp. 2269-2281
    • Ponthot, J.P.1
  • 83
    • 0043164502 scopus 로고
    • The use of the Eulerian-Lagrangian formulation including contact. Applications to forming simulation via fem
    • J.L. Chenot, R.D. Wood and O. Zienkiewicz, Sophia-Antipolis, France
    • J.P. Ponthot, The use of the Eulerian-Lagrangian formulation including contact. Applications to forming simulation via fem, in: J.L. Chenot, R.D. Wood and O. Zienkiewicz, Numerical Methods in Industrial Forming Processes (Sophia-Antipolis, France, 1992) 293-300.
    • (1992) Numerical Methods in Industrial Forming Processes , pp. 293-300
    • Ponthot, J.P.1
  • 85
    • 0043164507 scopus 로고
    • The use of the Eulerian-Lagrangian FEM in metal forming applications including contact and adaptive mesh
    • Chandra and J.N. Reddy, eds., Atlanta, Ga., Dec. 1991. ASME Winter Annual Meeting ASME AMD-125
    • J.P. Ponthot and M. Hogge, The use of the Eulerian-Lagrangian FEM in metal forming applications including contact and adaptive mesh, in: Chandra and J.N. Reddy, eds., Advances in Finite Deformation Problems in Material Processing, Atlanta, Ga., Dec. 1991. ASME Winter Annual Meeting ASME (AMD-125, 1991) 44-64.
    • (1991) Advances in Finite Deformation Problems in Material Processing , pp. 44-64
    • Ponthot, J.P.1    Hogge, M.2
  • 86
    • 28144438571 scopus 로고
    • Wavelet and the numerical solution of partial differential equations
    • S. Qian and J. Weiss, Wavelet and the numerical solution of partial differential equations, J. Comput. Phys. 106 (1993) 155-175.
    • (1993) J. Comput. Phys. , vol.106 , pp. 155-175
    • Qian, S.1    Weiss, J.2
  • 90
    • 0001724597 scopus 로고
    • Modeling mixed-mode dynamic crack propagation using finite elements: Theory and applications
    • D. Swenson and A.R. Ingraffea, Modeling mixed-mode dynamic crack propagation using finite elements: Theory and applications, Comput. Mech. 3 (1988) 381-397.
    • (1988) Comput. Mech. , vol.3 , pp. 381-397
    • Swenson, D.1    Ingraffea, A.R.2
  • 91
    • 0027302063 scopus 로고
    • An Arbitrary Lagrangian-Eulerian finite element method for incompressible hyperelasticity
    • T. Yamada and F. Kikuchi, An Arbitrary Lagrangian-Eulerian finite element method for incompressible hyperelasticity, Comput. Methods Appl. Mech. Engrg. 102 (1993) 149-177.
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.102 , pp. 149-177
    • Yamada, T.1    Kikuchi, F.2
  • 92
    • 0019022658 scopus 로고
    • A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity
    • J.F. Yau, S.S. Wang and H.T. Corten, A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity, J. Appl. Mech. 47 (1980) 335-341.
    • (1980) J. Appl. Mech. , vol.47 , pp. 335-341
    • Yau, J.F.1    Wang, S.S.2    Corten, H.T.3


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