SCOPUS 정보 검색 플랫폼

Computational Materials Science

Volumn 55, Issue , 2012, Pages 390-406

Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation

(4) Nguyen, V D a Bechet E a Geuzaine, C a Noels, L a

a UNIVERSITY OF LIÈGE (Belgium)

Author keywords

Computational homogenization; FEM; Heterogeneous materials; Periodic condition; Polynomial interpolation

Indexed keywords

CLASSICAL METHODS; COMPUTATIONAL HOMOGENIZATION; CONVERGENCE RATES; EFFECTIVE PROPERTY; FINITE-ELEMENT APPROACH; HETEROGENEOUS MATERIALS; PERIODIC BOUNDARY CONDITIONS; PERIODIC CONDITIONS; POLYNOMIAL INTERPOLATION; REPRESENTATIVE VOLUME ELEMENTS;

FINITE ELEMENT METHOD; INTERPOLATION; MATERIALS PROPERTIES; POLYNOMIALS;

BOUNDARY CONDITIONS;

EID: 84856062457 PISSN: 09270256 EISSN: None Source Type: Journal
DOI: 10.1016/j.commatsci.2011.10.017 Document Type: Article

Times cited : (232)

References (19)

1
- 2442659527
- Mean-field homogenization of multi-phase thermo-elastic composites: A general framework and its validation
- DOI 10.1016/j.compscitech.2003.11.009, PII S0266353803004494
- O. Pierard, C. Friebel, and I. Doghri Composites Science and Technology 64 10-11 2004 1587 1603 10.1016/j.compscitech.2003.11.009 < http://www.sciencedirect.com/science/article/B6TWT-4BJX082-3/2/ 79e5fb931d7e0e48e9c9d6c2f4c11df5 > (Pubitemid 38673523)
- (2004) Composites Science and Technology , vol.64 , Issue.10-11 , pp. 1587-1603
- Pierard, O.¹ Friebel, C.² Doghri, I.³

2
- 0032686773
- 10.1016/S0045-7825(98)00227-8 < >
- J. Michel, H. Moulinec, and P. Suquet Computer Methods in Applied Mechanics and Engineering 172 1-4 1999 109 143 10.1016/S0045-7825(98)00227-8 < http://www.sciencedirect.com/science/article/pii/S0045782598002278 >
- (1999) Computer Methods in Applied Mechanics and Engineering , vol.172 , Issue.14 , pp. 109-143
- Michel, J.¹ Moulinec, H.² Suquet, P.³

3
- 0036631366
- Computational micro-to-macro transitions of discretized microstructures undergoing small strains
- DOI 10.1007/s00419-002-0212-2
- C. Miehe, and A. Koch Archive of Applied Mechanics 72 4 2002 300 317 10.1007/s00419-002-0212-2 (Pubitemid 35019568)
- (2002) Archive of Applied Mechanics , vol.72 , Issue.4-5 , pp. 300-317
- Miehe, C.¹ Koch, A.²

4
- 0035088146
- Approach to micro-macro modeling of heterogeneous materials
- DOI 10.1007/s004660000212
- V. Kouznetsova, W.A.M. Brekelmans, and F.P.T. Baaijens Computational Mechanics 27 1 2001 37 48 10.1007/s004660000212 (Pubitemid 32251829)
- (2001) Computational Mechanics , vol.27 , Issue.1 , pp. 37-48
- Kouznetsova, V.¹ Brekelmans, W.A.M.² Baaijens, F.P.T.³

5
- 0037143110
- Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme
- DOI 10.1002/nme.541
- V. Kouznetsova, M.G.D. Geers, and W.A.M. Brekelmans International Journal for Numerical Methods in Engineering 54 8 2002 1235 1260 10.1002/nme.541 (Pubitemid 34724730)
- (2002) International Journal for Numerical Methods in Engineering , vol.54 , Issue.8 , pp. 1235-1260
- Kouznetsova, V.¹ Geers, M.G.D.² Brekelmans, W.A.M.³

6
- 8644290775
- Multi-scale second-order computational homogenization of multi-phase materials: A nested finite element solution strategy
- DOI 10.1016/j.cma.2003.12.073, PII S0045782504002853, Advances in Computational Plasticity
- V.G. Kouznetsova, M.G.D. Geers, and W.A.M. Brekelmans Computer Methods in Applied Mechanics and Engineering 193 48-51 2004 5525 5550 10.1016/j.cma.2003. 12.073 advances in Computational Plasticity. < http://www.sciencedirect.com/ science/article/B6V29-4D4D4JV-3/2/6fd8ac06299b9a26d8a17438871de868 > (Pubitemid 39499845)
- (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.48-51 , pp. 5525-5550
- Kouznetsova, V.G.¹ Geers, M.G.D.² Brekelmans, W.A.M.³

7
- 42049117097
- Scale transition and enforcement of RVE boundary conditions in second-order computational homogenization
- DOI 10.1002/nme.2188
- L. Kaczmarczyk, C.J. Pearce, and N. Bićanić International Journal for Numerical Methods in Engineering 74 3 2008 506 522 10.1002/nme.2188 (Pubitemid 351516707)
- (2008) International Journal for Numerical Methods in Engineering , vol.74 , Issue.3 , pp. 506-522
- Kaczmarczyk, L.¹ Pearce, C.J.² Bicanic, N.³

8
- 70350220520
- 10.1007/s11831-008-9028-8
- P. Kanoute, D. Boso, J. Chaboche, and B. Schrefler Archives of Computational Methods in Engineering 16 1 2009 31 75 10.1007/s11831-008-9028-8
- (2009) Archives of Computational Methods in Engineering , vol.16 , Issue.1 , pp. 31-75
- Kanoute, P.¹ Boso, D.² Chaboche, J.³ Schrefler, B.⁴

9
- 79958752343
- 10.1002/nme.3014
- D. Peric, E.A. de Souza Neto, R.A. Feijóo, M. Partovi, and A.J.C. Molina International Journal for Numerical Methods in Engineering 87 1-5 2011 149 170 10.1002/nme.3014
- (2011) International Journal for Numerical Methods in Engineering , vol.87 , Issue.15 , pp. 149-170
- Peric, D.¹ De Souza Neto, E.A.² Feijóo, R.A.³ Partovi, M.⁴ Molina, A.J.C.⁵

10
- 77955306909
- 10.1016/j.cam.2009.08.077 Fourth International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2008). < >
- M.G.D. Geers, V.G. Kouznetsova, and W.A.M. Brekelmans Journal of Computational and Applied Mathematics 234 7 2010 2175 2182 10.1016/j.cam.2009. 08.077 Fourth International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2008). < http://www.sciencedirect.com/science/article/ B6TYH-4X1J73B-8/2/ee8d9b69133503eaf14b00ddbe1bd8f5 >
- (2010) Journal of Computational and Applied Mathematics , vol.234 , Issue.7 , pp. 2175-2182
- Geers, M.G.D.¹ Kouznetsova, V.G.² Brekelmans, W.A.M.³

11
- 0037644851
- Determination of the size of the representative volume element for random composites: Statistical and numerical approach
- DOI 10.1016/S0020-7683(03)00143-4
- T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin International Journal of Solids and Structures 40 13-14 2003 3647 3679 10.1016/S0020-7683(03) 00143-4 < http://www.sciencedirect.com/science/article/B6VJS-48GDV9K-1/2/ 2dd6cda9c49706ed2c969bdea531bb50 > (Pubitemid 36659117)
- (2003) International Journal of Solids and Structures , vol.40 , Issue.13-14 , pp. 3647-3679
- Kanit, T.¹ Forest, S.² Galliet, I.³ Mounoury, V.⁴ Jeulin, D.⁵

12
- 0033639940
- Simulation of the multi-scale convergence in computational homogenization approaches
- DOI 10.1016/S0020-7683(98)00341-2
- K. Terada, M. Hori, T. Kyoya, and N. Kikuchi International Journal of Solids and Structures 37 16 2000 2285 2311 10.1016/S0020-7683(98)00341-2 < http://www.sciencedirect.com/science/article/B6VJS-3YDFYCH-4/2/ 788d085d620c6c5ae804d8c4e4f8ae9b > (Pubitemid 32213460)
- (2000) International Journal of Solids and Structures , vol.37 , Issue.16 , pp. 2285-2311
- Terada, K.¹ Hori, M.² Kyoya, T.³ Kikuchi, N.⁴

13
- 78649634164
- 10.1016/j.cma.2010.06.023 < >
- F. Larsson, K. Runesson, S. Saroukhani, and R. Vafadari Computer Methods in Applied Mechanics and Engineering 200 1-4 2011 11 26 10.1016/j.cma.2010.06. 023 < http://www.sciencedirect.com/science/article/B6V29-50J9GSY-1/2/ 50ad840717a7cc397ab171da344df990 >
- (2011) Computer Methods in Applied Mechanics and Engineering , vol.200 , Issue.14 , pp. 11-26
- Larsson, F.¹ Runesson, K.² Saroukhani, S.³ Vafadari, R.⁴

14
- 79954474453
- 10.1002/nme.3085
- G. Legrain, P. Cartraud, I. Perreard, and N. Moës International Journal for Numerical Methods in Engineering 86 7 2011 915 934 10.1002/nme.3085
- (2011) International Journal for Numerical Methods in Engineering , vol.86 , Issue.7 , pp. 915-934
- Legrain, G.¹ Cartraud, P.² Perreard, I.³ Moës, N.⁴

15
- 38349133352
- 10.1002/nme.2074
- Z. Yuan, and J. Fish International Journal for Numerical Methods in Engineering 73 3 2008 361 380 10.1002/nme.2074
- (2008) International Journal for Numerical Methods in Engineering , vol.73 , Issue.3 , pp. 361-380
- Yuan, Z.¹ Fish, J.²

16
- 33847729903
- A local finite element implementation for imposing periodic boundary conditions on composite micromechanical models
- DOI 10.1016/j.ijsolstr.2006.08.040, PII S0020768306003489
- J.M. Tyrus, M. Gosz, and E. DeSantiago International Journal of Solids and Structures 44 9 2007 2972 2989 10.1016/j.ijsolstr.2006.08.040 < http://www.sciencedirect.com/science/article/B6VJS-4KW5FH7-2/2/ 5ff1cecbcb5cdcf33cab7c7f6f6a1935 > (Pubitemid 46386012)
- (2007) International Journal of Solids and Structures , vol.44 , Issue.9 , pp. 2972-2989
- Tyrus, J.M.¹ Gosz, M.² DeSantiago, E.³

17
- 67650149648
- 10.1002/nme.2579
- C. Geuzaine, and J.-F. Remacle International Journal for Numerical Methods in Engineering 79 11 2009 1309 1331 10.1002/nme.2579
- (2009) International Journal for Numerical Methods in Engineering , vol.79 , Issue.11 , pp. 1309-1331
- Geuzaine, C.¹ Remacle, J.-F.²

18
- 65549084673
- 10.1016/j.ijsolstr.2009.03.015 < >
- C. Pelissou, J. Baccou, Y. Monerie, and F. Perales International Journal of Solids and Structures 46 14-15 2009 2842 2855 10.1016/j.ijsolstr.2009.03.015 < http://www.sciencedirect.com/science/article/pii/S0020768309001334 >
- (2009) International Journal of Solids and Structures , vol.46 , Issue.1415 , pp. 2842-2855
- Pelissou, C.¹ Baccou, J.² Monerie, Y.³ Perales, F.⁴

19
- 0348225010
- Analysis of a triangulation based approach for specimen generation for discrete element simulations
- DOI 10.1007/s10035-003-0145-7
- L. Cui, and C. O'Sullivan Granular Matter 5 2003 135 145 10.1007/s10035-003-0145-7 (Pubitemid 37539104)
- (2003) Granular Matter , vol.5 , Issue.3 , pp. 135-145
- Cui, L.¹ O'Sullivan, C.²

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