메뉴 건너뛰기




Volumn 82, Issue 12, 2010, Pages 1574-1608

A partition of unity-based 'FE-meshfree' QUAD4 element for geometric non-linear analysis

Author keywords

FE meshfree; Finite element; Geometric non linear analysis; Meshless; Partition of unity; Quadrilateral element

Indexed keywords

MESH GENERATION;

EID: 77952380535     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2820     Document Type: Article
Times cited : (26)

References (56)
  • 2
    • 0000969263 scopus 로고    scopus 로고
    • Meshfree and particle methods and their application
    • Li S, Liu WK. Meshfree and particle methods and their application. Applied Mechanics Reviews 2002; 55:1-34.
    • (2002) Applied Mechanics Reviews , vol.55 , pp. 1-34
    • Li, S.1    Liu, W.K.2
  • 3
    • 0001765873 scopus 로고
    • A numerical approach to the testing of the fission hypothesis
    • Lucy LB. A numerical approach to the testing of the fission hypothesis. The Astronomical Journal 1977; 82:1013-1024.
    • (1977) The Astronomical Journal , vol.82 , pp. 1013-1024
    • Lucy, L.B.1
  • 4
    • 1842842087 scopus 로고
    • Generalizing the finite element method: Difference approximation and diffuse elements
    • Nayroles B, Touzot G, Villon P. Generalizing the finite element method: difference approximation and diffuse elements. Computational Mechanics 1992; 10:583-594.
    • (1992) Computational Mechanics , vol.10 , pp. 583-594
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 8
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri SN, Zhu T. A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Computational Mechanics 1998; 22:117-127.
    • (1998) Computational Mechanics , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 17
    • 33749451248 scopus 로고    scopus 로고
    • Enrichment of the finite element method with reproducing kernel particle method
    • Liu WK, Uras RA, Chen Y. Enrichment of the finite element method with reproducing kernel particle method. Journal of Applied Mechanics 1997; 135:143-166.
    • (1997) Journal of Applied Mechanics , vol.135 , pp. 143-166
    • Liu, W.K.1    Uras, R.A.2    Chen, Y.3
  • 18
    • 0029507340 scopus 로고
    • A coupled finite element-element-free Galerkin method
    • Belytschko T, Organ D, Krongauz Y. A coupled finite element-element-free Galerkin method. Computational Mechanics 1995; 17(3):186-195.
    • (1995) Computational Mechanics , vol.17 , Issue.3 , pp. 186-195
    • Belytschko, T.1    Organ, D.2    Krongauz, Y.3
  • 19
    • 0030216871 scopus 로고    scopus 로고
    • Element-free Galerkin methods in combination with finite element approaches
    • Hegen D. Element-free Galerkin methods in combination with finite element approaches. Computer Methods in Applied Mechanics and Engineering 1996; 135(1):143-166.
    • (1996) Computer Methods In Applied Mechanics and Engineering , vol.135 , Issue.1 , pp. 143-166
    • Hegen, D.1
  • 20
    • 0034483501 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches
    • Liu GR, Gu YT. Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches. Computational Mechanics 2000; 26(6):536-546.
    • (2000) Computational Mechanics , vol.26 , Issue.6 , pp. 536-546
    • Liu, G.R.1    Gu, Y.T.2
  • 25
    • 0036663294 scopus 로고    scopus 로고
    • Coupling of FE and EFG using collocation approach
    • Xiao QZ, Dhanasekar M. Coupling of FE and EFG using collocation approach. Advances in Engineering Software 2002; 33(7):507-515.
    • (2002) Advances In Engineering Software , vol.33 , Issue.7 , pp. 507-515
    • Xiao, Q.Z.1    Dhanasekar, M.2
  • 29
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: Basic theory and applications
    • Melenk JM, Babuska I. The partition of unity finite element method: basic theory and applications. Computer Methods in Applied Mechanics and Engineering 1996; 139(1-4):289-314.
    • (1996) Computer Methods In Applied Mechanics and Engineering , vol.139 , Issue.1-4 , pp. 289-314
    • Melenk, J.M.1    Babuska, I.2
  • 34
    • 17544389134 scopus 로고    scopus 로고
    • Generalized finite element methods for three-dimensional structural mechanics problems
    • Duarte CA, Babuska I, Oden JT. Generalized finite element methods for three-dimensional structural mechanics problems. Computers and Structures 2000; 77(2):215-232.
    • (2000) Computers and Structures , vol.77 , Issue.2 , pp. 215-232
    • Duarte, C.A.1    Babuska, I.2    Oden, J.T.3
  • 39
    • 0005316945 scopus 로고    scopus 로고
    • Development of eight-node quadrilateral membrane elements using the area coordinates method
    • Soh AK, Long Y, Cen S. Development of eight-node quadrilateral membrane elements using the area coordinates method. Computational Mechanics 2000; 25:376-384.
    • (2000) Computational Mechanics , vol.25 , pp. 376-384
    • Soh, A.K.1    Long, Y.2    Cen, S.3
  • 40
    • 0345356928 scopus 로고    scopus 로고
    • Membrane elements insensitive to distortion using the quadrilateral area coordinate method
    • Chen XM, Cen S, Long YQ, Yao ZH. Membrane elements insensitive to distortion using the quadrilateral area coordinate method. Computers and Structures 2004; 82:35-54.
    • (2004) Computers and Structures , vol.82 , pp. 35-54
    • Chen, X.M.1    Cen, S.2    Long, Y.Q.3    Yao, Z.H.4
  • 41
    • 34547591469 scopus 로고    scopus 로고
    • Quadrilateral membrane element family formulated by the quadrilateral area coordinate method
    • Cen S, Chen XM, Fu XR. Quadrilateral membrane element family formulated by the quadrilateral area coordinate method. Computer Methods in Applied Mechanics and Engineering 2007; 196:4337-4353.
    • (2007) Computer Methods In Applied Mechanics and Engineering , vol.196 , pp. 4337-4353
    • Cen, S.1    Chen, X.M.2    Fu, X.R.3
  • 42
    • 0345303889 scopus 로고    scopus 로고
    • A novel unsymmetric 8-node plane element immune to mesh distortion under a quadratic displacement field
    • Rajendran S, Liew KM. A novel unsymmetric 8-node plane element immune to mesh distortion under a quadratic displacement field. International Journal for Numerical Methods in Engineering 2003; 58:1713-1748.
    • (2003) International Journal For Numerical Methods In Engineering , vol.58 , pp. 1713-1748
    • Rajendran, S.1    Liew, K.M.2
  • 43
    • 2342506580 scopus 로고    scopus 로고
    • Distortion sensitivity of 8-node plane elasticity elements based on parametric, metric, parametric-metric and metric-parametric formulations
    • Rajendran S, Subramanian S. Distortion sensitivity of 8-node plane elasticity elements based on parametric, metric, parametric-metric and metric-parametric formulations. Structural Engineering and Mechanics 2004; 17:767-788.
    • (2004) Structural Engineering and Mechanics , vol.17 , pp. 767-788
    • Rajendran, S.1    Subramanian, S.2
  • 45
    • 28444482797 scopus 로고    scopus 로고
    • A quadratic plane triangular element immune to quadratic mesh distortions under quadratic displacement fields
    • Liew KM, Rajendran S, Wang W. A quadratic plane triangular element immune to quadratic mesh distortions under quadratic displacement fields. Computer Methods in Applied Mechanics and Engineering 2006; 195:1207-1223.
    • (2006) Computer Methods In Applied Mechanics and Engineering , vol.195 , pp. 1207-1223
    • Liew, K.M.1    Rajendran, S.2    Wang, W.3
  • 47
  • 55
    • 0031352140 scopus 로고    scopus 로고
    • Logarithmic strain, logarithmic spin and logarithmic rate
    • Xiao H, Bruhuns OT, Meyers A. Logarithmic strain, logarithmic spin and logarithmic rate. Acta Mechanica 1997; 124:89-105.
    • (1997) Acta Mechanica , vol.124 , pp. 89-105
    • Xiao, H.1    Bruhuns, O.T.2    Meyers, A.3
  • 56
    • 0036376038 scopus 로고    scopus 로고
    • Hencky's elasticity model and linear stress-strain relations in isotropic finite hyperelasticity
    • Xiao H, Chen LS. Hencky's elasticity model and linear stress-strain relations in isotropic finite hyperelasticity. Acta Mechanica 2002; 157:51-60.
    • (2002) Acta Mechanica , vol.157 , pp. 51-60
    • Xiao, H.1    Chen, L.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.