메뉴 건너뛰기




Volumn 36, Issue 3, 2005, Pages 182-195

A contribution to error estimation and mapping algorithms for a hierarchical adaptive FE-strategy in finite elastoplasticity

Author keywords

Adaptivity; Elastoplasticity; Error Estimation; FEM; Finite Deformations

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONFORMAL MAPPING; ERROR DETECTION; FINITE ELEMENT METHOD; HIERARCHICAL SYSTEMS; MATHEMATICAL MODELS;

EID: 21644432461     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-004-0651-4     Document Type: Article
Times cited : (6)

References (22)
  • 2
    • 84985315731 scopus 로고
    • A-posteriori error estimates for the finite element method
    • Babuška I, Rheinboldt WC (1978) A-posteriori error estimates for the finite element method. Int J Numer Meth Eng 12:1597-1615
    • (1978) Int J Numer Meth Eng , vol.12 , pp. 1597-1615
    • Babuška, I.1    Rheinboldt, W.C.2
  • 3
    • 0040531476 scopus 로고
    • A-posteriori error estimates and adaptive techniques for the finite element method
    • Institute for Physical Science and Technology, University of Maryland
    • Babuška I, Miller A (1981) A-posteriori error estimates and adaptive techniques for the finite element method, Technical report, Institute for Physical Science and Technology, University of Maryland
    • (1981) Technical Report
    • Babuška, I.1    Miller, A.2
  • 4
    • 0035824751 scopus 로고    scopus 로고
    • Development of a generalized material interface for the simulation of finite elastoplastic deformations
    • Bucher A, Görke UJ, Kreißig R (2001) Development of a generalized material interface for the simulation of finite elastoplastic deformations. Int J Sol Struct 38/52:9423-9436
    • (2001) Int J Sol Struct , vol.38-52 , pp. 9423-9436
    • Bucher, A.1    Görke, U.J.2    Kreißig, R.3
  • 6
    • 21644444650 scopus 로고    scopus 로고
    • An efficient algorithm for the integration of the initial value problem in anisotropic finite elasto-plasticity considering a substructure
    • Dislocations. Plasticity on metal forming. Khan, A.S. (ed), (Maryland, NEAT Press)
    • Bucher A, Görke UJ, Kreißig R (2003) An Efficient Algorithm for the Integration of the Initial Value Problem in Anisotropic Finite Elasto-Plasticity Considering a Substructure. In: Dislocations. Plasticity on metal forming. Proceedings of Plasticity'03, Khan, A.S. (ed), (Maryland, NEAT Press), pp 346-348
    • (2003) Proceedings of Plasticity'03 , pp. 346-348
    • Bucher, A.1    Görke, U.J.2    Kreißig, R.3
  • 7
    • 0346394082 scopus 로고    scopus 로고
    • A material model for finite elasto-plastic deformations considering a substructure
    • Bucher A, Görke UJ, Kreißig R (2004) A material model for finite elasto-plastic deformations considering a substructure. Int J Plasticity 20:619-642
    • (2004) Int J Plasticity , vol.20 , pp. 619-642
    • Bucher, A.1    Görke, U.J.2    Kreißig, R.3
  • 8
    • 0037436478 scopus 로고    scopus 로고
    • Averaging techniques for reliable a posteriori FE-error control in elastoplasticity with hardening
    • Carstensen C, Alberty J (2003) Averaging techniques for reliable a posteriori FE-error control in elastoplasticity with hardening. Comput Methods Appl Mech Engrg 192:1435-1450
    • (2003) Comput Methods Appl Mech Engrg , vol.192 , pp. 1435-1450
    • Carstensen, C.1    Alberty, J.2
  • 9
    • 0033207307 scopus 로고    scopus 로고
    • A hierarchical adaptive finite element strategy for elastic-plastic problems
    • Cramer H, Rudolph M, Steinl G, Wunderlich W (1999) A hierarchical adaptive finite element strategy for elastic-plastic problems. Comput Structs 73:61-72
    • (1999) Comput Structs , vol.73 , pp. 61-72
    • Cramer, H.1    Rudolph, M.2    Steinl, G.3    Wunderlich, W.4
  • 10
    • 21644454154 scopus 로고    scopus 로고
    • Mapping of local variables due to remeshing in non-linear plasticity fracture problems
    • Idelsohn, S., Oñate, E. Dvorkin, E. (eds), (CIMNE, Barcelona)
    • Einsfeld RA, Roehl D, Bittencourt TN, Martha LF (1998) Mapping of Local Variables Due to Remeshing in Non-linear Plasticity Fracture Problems. In: Computational Mechanics. New Trends and Applications, Idelsohn, S., Oñate, E. Dvorkin, E. (eds), (CIMNE, Barcelona)
    • (1998) Computational Mechanics. New Trends and Applications
    • Einsfeld, R.A.1    Roehl, D.2    Bittencourt, T.N.3    Martha, L.F.4
  • 11
    • 21644459624 scopus 로고
    • Error estimators for viscoplastic materials. Application to forming processes
    • Fourment L, Chenot JL (1995) Error estimators for viscoplastic materials. Application to forming processes. Int J Numer Meth Engng 38:469-490
    • (1995) Int J Numer Meth Engng , vol.38 , pp. 469-490
    • Fourment, L.1    Chenot, J.L.2
  • 12
    • 0020848572 scopus 로고
    • A-posteriori error analysis and adaptive processes in the finite element method. Part I: Error analysis. Part II: Adaptive processes
    • Gago JP, Kelly DW, Zienkiewicz OC, Babuška I (1983) A-posteriori error analysis and adaptive processes in the finite element method. Part I: Error analysis. Part II: Adaptive processes. Int J Num Meth Engng 19:1593-1656
    • (1983) Int J Num Meth Engng , vol.19 , pp. 1593-1656
    • Gago, J.P.1    Kelly, D.W.2    Zienkiewicz, O.C.3    Babuška, I.4
  • 14
    • 0027004931 scopus 로고
    • Adaptive finite element methods in computational mechanics
    • Johnson C, Hansbo P (1992) Adaptive finite element methods in computational mechanics. Comput Methods Appl Mech Engrg 101:143-181
    • (1992) Comput Methods Appl Mech Engrg , vol.101 , pp. 143-181
    • Johnson, C.1    Hansbo, P.2
  • 16
    • 0034394001 scopus 로고    scopus 로고
    • A posteriori residual error estimator for the finite element method on anisotropic tetrahedral meshes
    • Kunert G (2000) A posteriori residual error estimator for the finite element method on anisotropic tetrahedral meshes. Numer Math 86:471-490
    • (2000) Numer Math , vol.86 , pp. 471-490
    • Kunert, G.1
  • 17
    • 0035322537 scopus 로고    scopus 로고
    • A local problem error estimator for anisotropic tetrahedral finite element meshes
    • Kunert G (2001) A local problem error estimator for anisotropic tetrahedral finite element meshes. SIAM J Numer Anal 39:668-689
    • (2001) SIAM J Numer Anal , vol.39 , pp. 668-689
    • Kunert, G.1
  • 18
    • 0035531730 scopus 로고    scopus 로고
    • 2 error estimation on anisotropic tetrahedral finite element meshes
    • 2 error estimation on anisotropic tetrahedral finite element meshes. IMA J Numer Anal 21:503-523
    • (2001) IMA J Numer Anal , vol.21 , pp. 503-523
    • Kunert, G.1
  • 19
    • 0039372640 scopus 로고    scopus 로고
    • Edge residuals dominate a posteriori error estimates for linear finite element methods on anisotropic triangular and tetrahedral meshes
    • Kunert G, Verfürth R (2001) Edge residuals dominate a posteriori error estimates for linear finite element methods on anisotropic triangular and tetrahedral meshes. Numer Math 86:283-303
    • (2001) Numer Math , vol.86 , pp. 283-303
    • Kunert, G.1    Verfürth, R.2
  • 20
    • 0026226423 scopus 로고
    • Adaptive mesh refinement in strain localization problems
    • Ortiz M, Quigley JJ (1991) Adaptive mesh refinement in strain localization problems. Comp Meth Appl Mech Eng 90:781-804
    • (1991) Comp Meth Appl Mech Eng , vol.90 , pp. 781-804
    • Ortiz, M.1    Quigley, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.