Computation of effective stiffness properties for textile-reinforced composites using X-FEM

Computational Methods in Applied Sciences

Volumn 10, Issue , 2008, Pages 261-279

  Kastner M ^a   Haasemann, G ^a   Brummund, J ^a   Ulbricht, V ^a  

^a INSTITUTE OF SOLID MECHANICS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84964056713     PISSN: 18713033     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-1-4020-8584-0_13     Document Type: Conference Paper

References (19)

1. Belytschko T, Moës N, Usui S, Parimi C (2001) Arbitrary discontinuities in finite elements. Int J Numer Meth Eng 50:993-1013
2. Daux C, Moës N, Dolbow J et al (2000) Arbitrary branched and intersecting cracks with the extended finite element method. Int J Numer Meth Eng 48:1741-1760
3. Fagerström M, Larsson R (2006) Theory and numerics for finite deformation fracture modelling using strong discontinuities. Int J Numer Meth Eng 66:911-948
4. Gravouil A, Moës N, Belytschko T (2002) Non-planar 3D crack growth by the extended finite element and level sets - Part I: mechanical model. Int J Numer Meth Eng 53:2549-2568
5. Gravouil A, Moës N, Belytschko T (2002) Non-planar 3D crack growth by the extended finite element and level sets - Part II: level set update. Int J Numer Meth Eng 53:2569-2586
6. Haasemann G, Kästner M, Ulbricht V (2006) Multi-Scale modelling and simulation of textilereinforced materials. CMC 3:131-146
7. Hill R (1963) Elastic properties of reinforced solids: some theoretical principles. J Mech Phys Solids 11:357-372
8. Hufenbach W, Böhm R, Langkamp A, Kroll L, Ritschel T (2006) Ultrasonic evaluation of anisotropic damage in textile multi-axial reinforced thermoplastic composites made from hybrid yarns. Mech Compos Mater 42:221-234
9. Kästner M, Ulbricht V (2006) Homogenization of fibre-reinforced composites using X-FEM. Proc Appl Math Mech 6:489-490
10. Lukkassen D, Persson LE, Wall P (1995) Some engineering and mathematical aspects on the homogenization method. Compos Eng 5:519-531
11. Melenk JM, Babuška I (1996) The partition of unity finite element method: basic theory and applications. Research Report
12. Moës N, Cloirec M, Cartraud P, Remacle J (2003) A computational approach to handle complex microstructure geometries. Comput Methods Appl Mech Eng 192:3163-3177
13. Moës N, Dolbow J, Belytschko T (1999) A finite element method for crack growth without remeshing. Int J Numer Meth Eng 46:131-150
14. Sanchez-Palencia E, Zaoui E (1987) Homogenization techniques for composite media. Lecture Notes in Physics 272. Springer, Berlin
15. Stazi L, Budyn E, Chessa J, Belytschko T (2003) An extended finite element method with higher-order elements for curved cracks. Comput Mech 31:38-48
16. Sukumar N, Chopp D, Moës N, Belytschko T (2001) Modeling holes and inclusions by level sets in the extended finite element method. Comput Methods Appl Mech Eng 190:6183-6200
17. Sukumar N, Huang ZY, Prévost J, Suo Z (2004) Partition of unity enrichment for bimaterial interface cracks. Int J Numer Meth Eng 59:1075-1102
18. Sukumar N, Moës N, Moran B, Belytschko T (2000) Extended finite element method for three-dimensional crack modelling. Int J Numer Meth Eng 48:1549-1570
19. Zi G, Belytschko T (2003) New crack-tip elements for XFEM and applications to cohesive cracks. Int J Numer Meth Eng 57:2221-2240