메뉴 건너뛰기




Volumn 37, Issue 3, 2006, Pages 207-220

An augmented lagrangian approach to material discontinuities in meshless methods

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; INTERFACES (MATERIALS); MATHEMATICAL PROGRAMMING; PROBLEM SOLVING; VARIATIONAL TECHNIQUES;

EID: 28244441283     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-005-0706-1     Document Type: Article
Times cited : (8)

References (26)
  • 1
    • 0030383252 scopus 로고    scopus 로고
    • Treatment of material discontinuity in the element free galerkin method
    • Cordes L, Moran B (1996) Treatment of material discontinuity in the element free galerkin method. Comput Methods Appl Mech Engrg 139:75-89
    • (1996) Comput Methods Appl Mech Engrg , vol.139 , pp. 75-89
    • Cordes, L.1    Moran, B.2
  • 2
    • 0035930906 scopus 로고    scopus 로고
    • An augmented lagrangian element free (alef) ap-proach for crack discontinuities
    • 2. Carpinteri A, Ferro G, Ventura G (2001) An augmented lagrangian element free (alef) ap-proach for crack discontinuities. Comput Meth Appl Mech Engrg 191:941-957
    • (2001) Comput Meth Appl Mech Engrg , vol.191 , pp. 941-957
    • Carpinteri, A.1    Ferro, G.2    Ventura, G.3
  • 3
    • 0032303243 scopus 로고    scopus 로고
    • Material and crack discontinuities: Application of an element free augmented lagrangian method
    • Computational Mechanics Publications, Southampton, UK
    • Carpinteri A, Ferro G, Ventura G (1998) Material and crack discontinuities: application of an element free augmented lagrangian method. In: Damage and Fracture Mechanics, Computational Mechanics Publications, Southampton, UK, pp. 237-246
    • (1998) Damage and Fracture Mechanics , pp. 237-246
    • Carpinteri, A.1    Ferro, G.2    Ventura, G.3
  • 4
    • 0030192918 scopus 로고    scopus 로고
    • Continuous meshless approximations for non-convex bodies by diffraction and transparency
    • Organ D, Fleming M, Terry T, B. T (1996) Continuous meshless approximations for non-convex bodies by diffraction and transparency. Comput Mech 18:1-11
    • (1996) Comput Mech , vol.18 , pp. 1-11
    • Organ, D.1    Fleming, M.2    Terry, T.3    T., B.4
  • 6
    • 0031126544 scopus 로고    scopus 로고
    • Enriched element-free galerkin methods for crack tip fields
    • Fleming M, Chu Y, Moran B, Belytschko T (1997) Enriched element-free galerkin methods for crack tip fields. Int J Numer Meth Eng 40:1483-1504
    • (1997) Int J Numer Meth Eng , vol.40 , pp. 1483-1504
    • Fleming, M.1    Chu, Y.2    Moran, B.3    Belytschko, T.4
  • 7
    • 28244486148 scopus 로고    scopus 로고
    • Efg approximation with discontinuous derivatives
    • Krongauz Y, Belytschko T (2000) Efg approximation with discontinuous derivatives. Int J Numer Meth Eng 481(7):1741-1760
    • (2000) Int J Numer Meth Eng , vol.481 , Issue.7 , pp. 1741-1760
    • Krongauz, Y.1    Belytschko, T.2
  • 8
    • 0037873180 scopus 로고    scopus 로고
    • The partition of unity finite element methods: Basic theory and application
    • Seminar for Applied Mathematics, ETH Zurich
    • Melenk J, Babuška I (1996) The partition of unity finite element methods: basic theory and application, Tech. Rep. 1, Seminar for Applied Mathematics, ETH Zurich
    • (1996) Tech. Rep. , vol.1
    • Melenk, J.1    Babuška, I.2
  • 10
    • 0037199042 scopus 로고    scopus 로고
    • A vector level set method and new discontinuity approximations for crack growth by efg
    • in press
    • Ventura G, Xu J, Belytschko T. A vector level set method and new discontinuity approximations for crack growth by efg. Int J Numer Meth Eng (in press)
    • Int J Numer Meth Eng
    • Ventura, G.1    Xu, J.2    Belytschko, T.3
  • 12
    • 0035860267 scopus 로고    scopus 로고
    • Modeling holes and inclusions by level sets in the extended finite-element method
    • Sukumar N, Chppp D, Moës N, Belytschko T (2001) Modeling holes and inclusions by level sets in the extended finite-element method. Comput Meth Appl Mech Eng 190:6183-6200
    • (2001) Comput Meth Appl Mech Eng , vol.190 , pp. 6183-6200
    • Sukumar, N.1    Chppp, D.2    Moës, N.3    Belytschko, T.4
  • 13
    • 0034734147 scopus 로고    scopus 로고
    • Arbitrary cracks and holes with the extended finite element method
    • Daux C, Moës N, Dolbow J, Sukumar N, Belytschko T (2000) Arbitrary cracks and holes with the extended finite element method. Int J Numer Meth Eng 48(12):1741-1760
    • (2000) Int J Numer Meth Eng , vol.48 , Issue.12 , pp. 1741-1760
    • Daux, C.1    Moës, N.2    Dolbow, J.3    Sukumar, N.4    Belytschko, T.5
  • 14
    • 0033639850 scopus 로고    scopus 로고
    • The design and analysis of the generalized finite element method
    • Stroboulis T, Babuška I, Copps K (2000) The design and analysis of the generalized finite element method. Comput Meth Appl Mech Eng 181(1-3):43-69
    • (2000) Comput Meth Appl Mech Eng , vol.181 , Issue.1-3 , pp. 43-69
    • Stroboulis, T.1    Babuška, I.2    Copps, K.3
  • 15
    • 0033904722 scopus 로고    scopus 로고
    • The generalized finite element method: An example of its implementation and illustration of its performance
    • Stroboulis T, Copps K, Babuška I (2000) The generalized finite element method: an example of its implementation and illustration of its performance. Int J Numer Meth Eng 47(8): 1401-1417
    • (2000) Int J Numer Meth Eng , vol.47 , Issue.8 , pp. 1401-1417
    • Stroboulis, T.1    Copps, K.2    Babuška, I.3
  • 16
    • 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 Meth Eng 53:825-842
    • (2002) Int J Numer Meth Eng , vol.53 , pp. 825-842
    • Ventura, G.1
  • 17
    • 33646394425 scopus 로고    scopus 로고
    • New Methods for Discontinuity and Crack Modeling in EFG
    • Michael Griebel and Marc Alexander Schweitzer, editors, Springer Verlag, Berlin, Germany
    • T. Belytschko, G. Ventura, J. Xu (2000) "New Methods for Discontinuity and Crack Modeling in EFG. In: Meshfree Methods for Partial Differential Equations (Michael Griebel and Marc Alexander Schweitzer, editors, Springer Verlag, Berlin, Germany
    • (2000) Meshfree Methods for Partial Differential Equations
    • Belytschko, T.1    Ventura, G.2    Xu, J.3
  • 18
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • Lancaster P, Salkauskas K (1981) Surfaces generated by moving least squares methods. Math Comput 37:141-158
    • (1981) Math Comput , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 20
    • 0034245542 scopus 로고    scopus 로고
    • Complementary energy formulation of no-tension masonry- Like solids
    • Cuomo M, Ventura G (2000) Complementary energy formulation of no-tension masonry- like solids. Comput Meth Appl Mech Engrg 189:313-339
    • (2000) Comput Meth Appl Mech Engrg , vol.189 , pp. 313-339
    • Cuomo, M.1    Ventura, G.2
  • 24
    • 0014604308 scopus 로고
    • Multiplier and gradient methods
    • Hestenes R (1969) Multiplier and gradient methods. J Optim Theory Appl 4:303-320
    • (1969) J Optim Theory Appl , vol.4 , pp. 303-320
    • Hestenes, R.1
  • 25
    • 0002380692 scopus 로고
    • A method for non-linear constraint in optimization problems
    • Fletcher R (ed.). Academic Press, London
    • Powell J (1969) A method for non-linear constraint in optimization problems. In: Fletcher R (ed.), Optimization. Academic Press, London, pp. 283-298
    • (1969) Optimization , pp. 283-298
    • Powell, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.