On the path of a crack near a graded interface under large scale yielding

International Journal of Solids and Structures

Volumn 40, Issue 11, 2003, Pages 2819-2831

  Rashid, M M ^a   Tvergaard, V ^b  

^a University of California Davis   (United States)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Crack path; Ductile fracture; Finite element analysis; Functionally graded material

Indexed keywords

COMPUTATIONAL METHODS; CRACK PROPAGATION; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); PLASTICITY;

GRADED INTERFACE;

MATERIALS SCIENCE;

COMPOSITE; FRACTURE MECHANICS;

EID: 0038578324     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(03)00081-7     Document Type: Article

References (19)

1. ASTM, 1999. Standard test method for measurement of fracture toughness, standard E 1820-99. American Society for Testing and Materials, West Conshohocken, PA
2. Belytschko T. Moes N. Usui S. Arbitrary discontinuities in finite elements Int. J. Numer. Meth. Engng. 50 2001 993 1013
3. Bittencourt T.N. Wawrzynek P.A. Ingraffea A.R. Quasi-static simulation of crack propagation for 2D LEFM problems Engng. Fract. Mech. 55 1996 321 334
4. de Souza Neto E.A. Peric D. Dutko M. Owen D.R.J. Design of simple low order finite elements for large strain analysis of nearly incompressible solids Int. J. Solids Struct. 33 1996 3277 3296
5. Kim A.S. Suresh S. Shih C.F. Plasticity effects on fracture normal to interfaces with homogeneous and graded compositions Int. J. Solids Struct. 34 1997 3415 3432
6. Mortensen A. Suresh S. Functionally graded metals and metal-ceramic composites: Part 1. Processing Int. Mater. Rev. 40 1995 239 265
7. Ortiz M. Pandolfi A. Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis Int. J. Numer. Meth. Engng. 44 1999 1267 1282
8. Rashid M.M. A new theory for free-surface formation in solid continua Int. J. Solids Struct. 34 1997 2303 2320
9. Rashid M.M. A computational procedure for simulation of crack advance in arbitrary two-dimensional domains Comput. Mech. 20 1997 133 138
10. Rashid M.M. The arbitrary local mesh replacement method: an alternative to remeshing for crack propagation analysis Comput. Meth. Appl. Mech. Engng. 154 1998 133 150
11. Rashid M.M. Material state remapping in computational solid mechanics Int. J. Numer. Meth. Engng. 55 2002 431 450
12. Reiter T. Dvorak G.J. Tvergaard V. Micromechanical models for graded composite materials J. Mech. Phys. Solids 45 1997 1281 1302
13. Suresh S. Mortensen A. Functionally graded metals and metal-ceramic composites: Part 2. Thermomechanical behavior Int. Mater. Rev. 42 1997 85 116
14. Tvergaard V. Resistance curves for mixed mode interface crack growth between dissimilar elastic-plastic solids J. Mech. Phys. Solids 49 2001 2689 2703
15. Tvergaard V. Theoretical investigation of the effect of plasticity on crack growth along a functionally graded region between dissimilar elastic-plastic solids Engng. Fract. Mech. 69 2002 1635 1645
16. Tvergaard V. Hutchinson J.W. The influence of plasticity on mixed mode interface toughness J. Mech. Phys. Solids 41 1993 1119 1135
17. Wells G.N. Sluys L.J. de Borst R. Simulating the propagation of displacement discontinuities in a regularized strain-softening medium Int. J. Numer. Meth. Engng. 53 2002 1235 1256
18. Xia L. Shih C.F. Hutchinson J.W. A computational approach to ductile crack growth under large scale yielding conditions J. Mech. Phys. Solids 43 1995 389 413
19. Xu X.-P. Needleman A. Numerical simulations of fast crack growth in brittle solids J. Mech. Phys. Solids 42 1994 1397 1434