메뉴 건너뛰기




Volumn 83, Issue 2, 2012, Pages 183-219

T-trefftz voronoi cell finite elements with elastic/rigid inclusions or voids for micromechanical analysis of composite and porous materials

Author keywords

Collocation; Completeness; Efficiency; Inclusion; LBB conditions; Matrix; T Trefftz; Variational principle; VCFEM; Void

Indexed keywords

COLLOCATION; COMPLETENESS; LBB CONDITION; T-TREFFTZ; VARIATIONAL PRINCIPLES; VCFEM; VOID;

EID: 84859030576     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (50)

References (31)
  • 2
    • 84949692839 scopus 로고
    • On some new general and complementary energy theorems for the rate problems in finite Strain, classical elastoplasticity
    • Atluri, S. N. (1980): On some new general and complementary energy theorems for the rate problems in finite Strain, classical elastoplasticity. Journal of Structural Mechanics, vol. 8, issue. 1, pp. 61-92.
    • (1980) Journal of Structural Mechanics , vol.8 , Issue.1 , pp. 61-92
    • Atluri, S.N.1
  • 3
    • 0016498371 scopus 로고
    • An assumed displacement hybrid finite element model for linear fracture mechanics
    • Atluri, S. N.; Kobayashi, A. S.; Nakagaki M. (1975): An assumed displacement hybrid finite element model for linear fracture mechanics, International Journal of Fracture, vol. 11, no. 2, pp. 257-271.
    • (1975) International Journal of Fracture , vol.11 , Issue.2 , pp. 257-271
    • Atluri, S.N.1    Kobayashi, A.S.2    Nakagaki, M.3
  • 4
    • 34250459417 scopus 로고
    • The finite element method with Lagrange multipliers
    • Babuska, I. (1973): The finite element method with Lagrange multipliers. Numerische Mathematik, vol. 20, no. 3, pp. 179-192.
    • (1973) Numerische Mathematik , vol.20 , Issue.3 , pp. 179-192
    • Babuska, I.1
  • 5
    • 0020593149 scopus 로고
    • A hybrid finite element method for Stokes flow: Part I-formulation and numerical studies
    • Bratianu, C.; Atluri, S. N. (1983): A hybrid finite element method for Stokes flow: part I-formulation and numerical studies. Computer Methods in Applied Mechanics and Engineering, vol. 36, pp. 23-37.
    • (1983) Computer Methods in Applied Mechanics and Engineering , vol.36 , pp. 23-37
    • Bratianu, C.1    Atluri, S.N.2
  • 7
    • 77949822726 scopus 로고    scopus 로고
    • Large deformation analyses of space-frame structures, with members of arbitrary cross-section, using explicit tangent stiffness matrices, based on a von Karman type nonlinear theory in rotated reference frames
    • Cai, Y. C.; Paik, J. K.; Atluri, S. N. (2009a): Large deformation analyses of space-frame structures, with members of arbitrary cross-section, using explicit tangent stiffness matrices, based on a von Karman type nonlinear theory in rotated reference frames, CMES: Computer Modeling in Engineering & Sciences, vol. 53, no. 2, pp. 117-145.
    • (2009) CMES: Computer Modeling in Engineering & Sciences , vol.53 , Issue.2 , pp. 117-145
    • Cai, Y.C.1    Paik, J.K.2    Atluri, S.N.3
  • 8
    • 77949779934 scopus 로고    scopus 로고
    • Large deformation analyses of space-frame structures, using explicit tangent stiffness matrices, based on the Reissner variational principle and a von Karman type nonlinear theory in rotated reference frames
    • Cai, Y. C.; Paik, J. K.; Atluri, S. N. (2009b): Large deformation analyses of space-frame structures, using explicit tangent stiffness matrices, based on the Reissner variational principle and a von Karman type nonlinear theory in rotated reference frames. CMES: Computer Modeling in Engineering & Sciences, vol. 54, no. 3, pp. 335-368.
    • (2009) CMES: Computer Modeling in Engineering & Sciences , vol.54 , Issue.3 , pp. 335-368
    • Cai, Y.C.1    Paik, J.K.2    Atluri, S.N.3
  • 9
    • 77952846020 scopus 로고    scopus 로고
    • Locking-free thick-thin rod/beam element for large deformation analyses of space-frame structures based on the Reissner variational principle and a von Karman type nonlinear theory
    • Cai, Y. C.; Paik, J. K.; Atluri, S. N. (2010): Locking-free thick-thin rod/beam element for large deformation analyses of space-frame structures, based on the Reissner variational principle and a von Karman type nonlinear theory, CMES: Computer Modeling in Engineering & Sciences, vol. 58, no. 1, pp. 75-108.
    • (2010) CMES: Computer Modeling in Engineering & Sciences , vol.58 , Issue.1 , pp. 75-108
    • Cai, Y.C.1    Paik, J.K.2    Atluri, S.N.3
  • 10
    • 77957577059 scopus 로고    scopus 로고
    • A triangular plate element with drilling degrees of freedom for large rotation analyses of built-up plate/shell structures based on the Reissner variational principle and the von Karman nonlinear theory in the co-rotational reference frame
    • Cai, Y. C.; Paik, J. K.; Atluri, S. N. (2010): A triangular plate element with drilling degrees of freedom, for large rotation analyses of built-up plate/shell structures, based on the Reissner variational principle and the von Karman nonlinear theory in the co-rotational reference frame. CMES: Computer Modeling in Engineering & Sciences, vol. 61, no. 3, pp. 273-312.
    • (2010) CMES: Computer Modeling in Engineering & Sciences , vol.61 , Issue.3 , pp. 273-312
    • Cai, Y.C.1    Paik, J.K.2    Atluri, S.N.3
  • 11
    • 0027307919 scopus 로고
    • Four-noded mixed finite elements, using unsymmetric stresses, for linear analysis of membranes
    • Cazzani, A.; Atluri, S. N. (1993): Four-noded mixed finite elements, using unsymmetric stresses, for linear analysis of membranes. Computational Mechanics, vol. 11, no. 4, pp. 229-251.
    • (1993) Computational Mechanics , vol.11 , Issue.4 , pp. 229-251
    • Cazzani, A.1    Atluri, S.N.2
  • 12
    • 80155204571 scopus 로고    scopus 로고
    • A Simple Procedure to Develop Efficient & Stable Hybrid/Mixed Elements, and Voronoi Cell Finite Elements for Macro-& Micromechanics
    • Dong, L.; Atluri, S. N. (2011a): A Simple Procedure to Develop Efficient & Stable Hybrid/Mixed Elements, and Voronoi Cell Finite Elements for Macro-& Micromechanics. CMC: CMC: Computers, Materials & Continua, vol. 24, no. 1, pp.61-104.
    • (2011) CMC: CMC: Computers, Materials & Continua , vol.24 , Issue.1 , pp. 61-104
    • Dong, L.1    Atluri, S.N.2
  • 13
    • 84858273941 scopus 로고    scopus 로고
    • Development of T-Trefftz four-node quadrilateral and Voronoi Cell Finite Elements for macro-& micromechanical modeling of solids
    • Dong, L.; Atluri, S. N. (2011b): Development of T-Trefftz four-node quadrilateral and Voronoi Cell Finite Elements for macro-& micromechanical modeling of solids. CMES: Computer Modeling in Engineering & Sciences, vol.81, no. 1, pp.69-118.
    • (2011) CMES: Computer Modeling in Engineering & Sciences , vol.81 , Issue.1 , pp. 69-118
    • Dong, L.1    Atluri, S.N.2
  • 14
    • 0028762376 scopus 로고
    • Voronoi cell finite elements
    • Ghosh, S.; Mallett, R. L. (1994): Voronoi cell finite elements. Computers & Structures, vol. 50, issue 1, pp. 33-46.
    • (1994) Computers & Structures , vol.50 , Issue.1 , pp. 33-46
    • Ghosh, S.1    Mallett, R.L.2
  • 15
    • 0029209453 scopus 로고
    • Multiple scale analysis of heterogeneous elastic structures using homogenization theory and Voronoi cell finite element method
    • Ghosh, S.; Lee, K.; Moorthy, S. (1995): Multiple scale analysis of heterogeneous elastic structures using homogenization theory and Voronoi cell finite element method. International Journal of Solids and Structures, vol. 32, issue 1, pp. 27-63.
    • (1995) International Journal of Solids and Structures , vol.32 , Issue.1 , pp. 27-63
    • Ghosh, S.1    Lee, K.2    Moorthy, S.3
  • 16
    • 0026627337 scopus 로고
    • Formulation of a membrane finite element with drilling degrees of freedom
    • Iura, M.; Atluri, S. N. (1992): Formulation of a membrane finite element with drilling degrees of freedom. Computational Mechanics, vol.9, no. 6, pp.417-428.
    • (1992) Computational Mechanics , vol.9 , Issue.6 , pp. 417-428
    • Iura, M.1    Atluri, S.N.2
  • 17
    • 0020019302 scopus 로고
    • Large finite elements method for the solution of problems in the theory of elasticity
    • DOI 10.1016/0045-7949(82)90009-8
    • Jirousek, J.; Teodorescu, P. (1982): Large finite elements method for the solution of problems in the theory of elasticity. Computers & Structures, vol.15, issue. 6, pp.575-587. (Pubitemid 12552060)
    • (1982) Computers and Structures , vol.15 , Issue.5 , pp. 575-587
    • Jirousek, J.1    Teodorescu, P.2
  • 18
    • 0022696572 scopus 로고
    • Hybrid-Trefftz finite element model and its application to plate bending
    • Jirousek, J.; Guex, Lan. (1986): The hybrid-Trefftz finite element model and its application to plate bending. International Journal for Numerical Methods in Engineering, vol.23, issue. 4, pp.651-693. (Pubitemid 16523984)
    • (1986) International Journal for Numerical Methods in Engineering , vol.23 , Issue.4 , pp. 651-693
    • Jirousek, J.1    Guex, L.2
  • 19
    • 35348966933 scopus 로고    scopus 로고
    • A modified Trefftz method for two-dimensional Laplace equation considering the domain's characteristic length
    • Liu, C. S. (2007a): A modified Trefftz method for two-dimensional Laplace equation considering the domain's characteristic length. CMES: Computer Modeling in Engineering & Sciences, vol.21, no. 1, pp.53-65.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.21 , Issue.1 , pp. 53-65
    • Liu, C.S.1
  • 20
    • 34547777321 scopus 로고    scopus 로고
    • An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length
    • Liu, C. S. (2007b): An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length. Engineernig Analysis with Boundary Elements, vol. 31, issue 12, pp. 983-993.
    • (2007) Engineernig Analysis with Boundary Elements , vol.31 , Issue.12 , pp. 983-993
    • Liu, C.S.1
  • 21
    • 76249124079 scopus 로고    scopus 로고
    • On solving the ill-conditioned system Ax=b: General-purpose conditioners obtained from the boundary-collocation solution of the Laplace equation, using Trefftz expansions with multiple length scales
    • Liu, C. S.; Yeih, W.; Atluri, S. N. (2009): On solving the ill-conditioned system Ax=b: general-purpose conditioners obtained from the boundary-collocation solution of the Laplace equation, using Trefftz expansions with multiple length scales. CMES: Computer Modeling in Engineering & Sciences, vol. 44, no. 3, pp. 281-312.
    • (2009) CMES: Computer Modeling in Engineering & Sciences , vol.44 , Issue.3 , pp. 281-312
    • Liu, C.S.1    Yeih, W.2    Atluri, S.N.3
  • 22
    • 0030195429 scopus 로고    scopus 로고
    • A model for analysis of arbitrary composite and porous microstructures with Voronoi Cell Finite Elements
    • Moorthy, S.; Ghosh, S.; (1996): A model for analysis of arbitrary composite and porous microstructures with Voronoi Cell Finite Elements. International Journal for Numerical Methods in Engineering, vol. 39, issue 14, pp. 2363-2398. (Pubitemid 126648030)
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , Issue.14 , pp. 2363-2398
    • Moorthy, S.1    Ghosh, S.2
  • 24
    • 85007692148 scopus 로고
    • Derivation of element stiffness matrices by assumed stress distribution
    • Pian, T. H. H. (1964): Derivation of element stiffness matrices by assumed stress distribution. A. I. A. A. Journal, vol. 2, pp. 1333-1336.
    • (1964) A. I. A. A. Journal , vol.2 , pp. 1333-1336
    • Pian, T.H.H.1
  • 25
    • 0021624722 scopus 로고
    • Development and testing of stable, invariant, isoparametric curvilinear 2-and 3-D hybrid-stress elements
    • DOI 10.1016/0045-7825(84)90083-5
    • Punch, E. F.; Atluri, S. N. (1984): Development and testing of stable, invariant, isoparametric curvilinear 2-and 3-D hybrid-stress elements. Computer Methods in Applied Mechanics and Engineering, vol 47, issue 3, pp. 331-356. (Pubitemid 15436900)
    • (1984) Computer Methods in Applied Mechanics and Engineering , vol.47 , Issue.3 , pp. 331-356
    • Punch, E.F.1    Atluri, S.N.2
  • 26
    • 0020752405 scopus 로고
    • An analysis of, and remedies for, kinematic modes in hybrid-stress finite elements: Selection of stable, invariant stress fields
    • DOI 10.1016/0045-7825(83)90030-0
    • Rubinstein, R.; Punch, E. F.; Atluri, S. N. (1984): An analysis of, and remedies for, kinematic modes in hybrid-stress finite elements: selection of stable, invariant stress fields. Computer Methods in Applied Mechanics and Engineering, vol. 38, issue 1, pp. 63-92. (Pubitemid 13559447)
    • (1983) Computer Methods in Applied Mechanics and Engineering , vol.38 , Issue.1 , pp. 63-92
    • Rubinstein, R.1    Punch, E.F.2    Atluri, S.N.3
  • 28
    • 0021897228 scopus 로고
    • On the existence and stability conditions for mixed-hybrid finite element solutions based on Reissner's variational principle
    • DOI 10.1016/0020-7683(85)90107-6
    • Xue, W.; Karlovitz, L. A.; Atluri, S. N. (1985): On the existence and stability conditions for mixed-hybrid finite element solutions based on Reissner's variational principle. International Journal of Solids and Structures, vol. 21, issue 1, 1985, pp. 97-116. (Pubitemid 15546667)
    • (1985) International Journal of Solids and Structures , vol.21 , Issue.1 , pp. 97-116
    • Xue, W.-M.1    Karlovitz, L.A.2    Atluri, S.N.3
  • 29
    • 78349253885 scopus 로고    scopus 로고
    • On solving the direct/ inverse Cauchy problems of Laplace equation in a multiply connected domain, using the generalized multiple-source-point boundary-collocation Trefftz method & characteristic lengthsx
    • Yeih, W.; Liu, R. F.; Kuo, S. R.; Atluri, S. N. (2010): On solving the direct/ inverse Cauchy problems of Laplace equation in a multiply connected domain, using the generalized multiple-source-point boundary-collocation Trefftz method & characteristic lengths. CMC: CMC: Computers, Materials & Continua, vol. 17, no. 3, pp. 275-302.
    • (2010) CMC:CMC: Computers, Materials & Continua , vol.17 , Issue.3 , pp. 275-302
    • Yeih, W.1    Liu, R.F.2    Kuo, S.R.3    Atluri, S.N.4
  • 30
    • 0020497908 scopus 로고
    • Hybrid finite element method for Stokes flow: Part II-stability and convergence studies
    • DOI 10.1016/0045-7825(83)90153-6
    • Ying, L. A.; Atluri, S. N. (1983): A Hybrid finite element method for Stokes flow: Part II-stability and convergence studies. Computer Methods in Applied Mechanics and Engineering, vol. 36, pp. 39-60. (Pubitemid 13487941)
    • (1983) Computer Methods in Applied Mechanics and Engineering , vol.36 , Issue.1 , pp. 39-60
    • Ying, L.A.1    Atluri, S.N.2
  • 31
    • 77951969671 scopus 로고    scopus 로고
    • Locking-free thick-thin rod/beam element based on a von Karman type nonlinear theory in rotated reference frames for large deformation analyses of space-frame structures
    • Zhu, H. H.; Cai, Y.C.; Paik, J.K.; Atluri, S. N. (2010): Locking-free thick-thin rod/beam element based on a von Karman type nonlinear theory in rotated reference frames for large deformation analyses of space-frame structures. CMES: Computer Modeling in Engineering & Sciences, vol. 57, no. 2, pp. 175-204.
    • (2010) CMES: Computer Modeling in Engineering & Sciences , vol.57 , Issue.2 , pp. 175-204
    • Zhu, H.H.1    Cai, Y.C.2    Paik, J.K.3    Atluri, S.N.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.