Modeling brittle-ductile failure transition with meshfree method

International Journal of Impact Engineering

Volumn 37, Issue 7, 2010, Pages 783-791

  Wang, S ^a   Liu, H ^a  

^a HARBIN ENGINEERING UNIVERSITY   (China)

Author keywords

EFG; Failure transition; Meshfree; Meshless; Visibility

Indexed keywords

DAMAGE MODEL; DUCTILE FAILURES; ELEMENT-FREE; FAILURE TRANSITION; FINITE DEFORMATIONS; GALERKIN; GALERKIN FORMULATION; JOHNSON-COOK; MESH-FREE ALGORITHMS; MESH-FREE METHOD; MESHFREE; MESHLESS; NUMERICAL SIMULATION;

COMPUTER SIMULATION; GALERKIN METHODS; VISIBILITY;

COMPUTATIONAL MECHANICS;

EID: 77950689764     PISSN: 0734743X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijimpeng.2010.01.006     Document Type: Article

References (61)

1. Borvik T., Forrestal M.J., Hopperstad O.S., Warren T.L., and Langseth M. Perforation of aa5083-h116 aluminium plates with conical-nose steel projectiles-calculations. International Journal of Impact Engineering 36 3 (March 2009) 426-437
2. Dey S., Borvik T., Hopperstad O.S., and Langseth M. On the influence of constitutive relation in projectile impact of steel plates. International Journal of Impact Engineering 34 (2007) 464-486
3. Grytten F., Borvik T., Hopperstad O.S., and Langseth M. Low velocity perforation of aa5083-h116 aluminium plates. International Journal of Impact Engineering 36 (2009) 597-610
4. Kalthoff J.F., and Winkler S. Failure mode transition at high rates of shear loading. International Conference on Impact Loading and Dynamic Behavior of Materials 1 (1987) 185-195
5. Kalthoff J.F. Modes of dynamic shear failure in solids. International Journal of Fracture 101 (2000) 1-31
6. Ravi-Chandar K., Lu J., Yang B., and Zhu Z. Failure modes transitions in polymers under high strain rate loading. International Journal of Fracture 101 (2000) 33-72
7. Zhou M., Ravichandran G., and Rosakis A. Dynamically propagating shear bands in impact-loaded prenotched plates-I. Journal Mechanics Physics and Solids 44 (1996) 981-1006
8. Xu X.-P., and Needleman A. Numerical simulations of fast crack growth in brittle solids. Journal of the Mechanics and Physics of Solids 42 (1994) 1397-1434
9. Gummalla R.R., and Batra R.C. Effect on material and geometric parameters on deformations near the notch-tip of a dynamically loaded prenotched plate. International Journal of Fracture 101 99-140 (2000)
10. Ravisankar M.V.S., and Batra R.C. Three-dimensional numerical simulation of the kalthoff experiment. International Journal of Fracture 105 161-186 (2000)
11. Rabczuk T., and Belytschko T. Cracking particles: a simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering 61 13 (2004) 2316-2343
12. Hao S., Liu W.K., and Qian D. Localization-induced band and cohesive model. Journal of Applied Mechanics - Transactions of the ASME 67 4 (2000) 803-812
13. Zhou M., Ravichandran G., and Rosakis A. Dynamically propagating shear bands in impact-loaded prenotched plates-II. Journal Mechanics Physics and Solids 44 1007-1032 (2000)
14. Rabczuk T., Areias P.M.A., and Belytschko T. A simplified meshfree method for shear bands with cohesive surfaces. International Journal for Numerical Methods in Engineering 69 (2007) 993-1021
15. Li L., Liu S., and Wang H. Meshless analysis of ductile failure. CMES - Computer Modeling in Engineering & Sciences 36 2 (2008) 173-192
16. Monaghan J.J. Simulating free surface flows with sph. Journal of Computational Physics 110 (1994) 399-406
17. Belytschko T., Lu Y.Y., and Gu L. Element-free Galerkin methods. International Journal for Numerical Methods in Engineering 37 (1994) 229-256
18. Belytschko T., Lu Y.Y., and Gu L. Crack propagation by element-free Galerkin methods. Engineering Fracture Mechanics 51 2 (1995) 295-315
19. Belytschko T., Krongauz Y., Organ D., Fleming M., and Krysl P. Meshless methods: an overview and recent developments. Computer Methods in Applied Mechanics and Engineering 139 (1996) 3-47
20. Liu W.K., Jun S., and Zhang Y.F. Reproducing kernel particle methods. International Journal for Numerical Methods in Engineering 20 (1995) 1081-1106
21. Hao S., and Liu W.K. Moving particle finite element method with superconvergence: nodal integration formulation and applications. Computer Methods in Applied Mechanics and Engineering 195 44-47 (2006) 6059-6072
22. Hao S., Liu W.K., and Chang C.T. Computer implementation of damage models by finite element and meshfree methods. Computer Methods in Applied Mechanics and Engineering 187 3-4 (2000) 401-440
23. Liu W.K., Hao S., and Belytschko T. Multiple scale meshfree methods for damage fracture and localization. Computational Material Science 16 1-4 (1999) 197-205
24. Johnson GR, Cook WH. A constitutive model and data for metals subjected to large strains, high strain rates and high temperature. In: Proceedings of the seventh international symposium on ballistics, The Hague, Netherlands, p. 1-7; 1983.
25. Nishimura K., and Miyazaki N. Molecular dynamics simulation of crack propagation in polycrystalline material. Computer Modeling in Engineering and Sciences 2 (2001) 143-153
26. Vignjevic R., Reveles J.R., and Campbell J. Sph in a total Lagrangian formalism. Computer Modeling in Engineering and Sciences 14 (2006) 181-198
27. Johnson G.R., and Cook W.H. Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Engineering Fracture Mechanics 21 (1985) 31-48
28. Lancaster P., and Salkauskas K. Surfaces generated by moving least squares methods. Mathematics and Computation 37 (1981) 141-158
29. Bonet J., and Kulasegaram S. Correction and stabilization of smooth particle hydrodynamics methods with application in metal forming simulations. International Journal for Numerical Methods in Engineering 47 6 (2000) 1189-1214
30. Rodriguez-Paz M., and Bonet J. A corrected smooth particle hydrodynamics formulation of the shallow-water equations. Computers & Structures 83 17-18 (2005) 1396-1410
31. Randles P.W., and Libersky L.D. Recent improvements in sph modeling of hypervelocity impact. International Journal of Impact Engineering 20 (1997) 525-532
32. Randles P.W., and Libersky L. Normalized sph with stress points. International Journal for Numerical Methods in Engineering 48 (2000) 1445-1461
33. Swegle J.W., Hicks D.L., and Attaway S.W. Smoothed particle hydrodynamics stability analysis. Journal of Computational Physics 116 (1995) 123-134
34. Vignjevic R., Campbell J., and Libersky L.D. A treatment of zero-energy modes in the smoothed particle hydrodynamics method. Computer Methods in Applied Mechanics and Engineering 184 (2000) 67-85
35. Rabczuk T., Belytschko T., and Xiao S.P. Stable particle methods based on Lagrangian kernels. Computer Methods in Applied Mechanics and Engineering 193 12-14 (2004) 1035-1063
36. Belytschko T., and Fleming M. Smoothing, enrichment and contact in the element free Galerkin method. Computers & Structures 71 (1999) 173-195
37. Beissel S.R., Johnson G.R., and Popelar C.H. An element-failure algorithm for dynamic crack propagation in general directions. Engineering Fracture Mechanics 61 (1998) 407-425
38. Hao S., Liu W.K., Klein P.A., and Rosakis A.J. Modeling and simulation of intersonic crack growth. International Journal of Solids and Structures 41 7 (2004) 1773-1799
39. Rabczuk T., and Belytschko T. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering 196 29-30 (2007) 2777-2799
40. Rabczuk T., and Belytschko T. Adaptivity for structured meshfree particle methods in 2d and 3d. International Journal for Numerical Methods in Engineering 63 11 (2005) 1559-1582
41. Rabczuk T., and Samaniego E. Discontinuous modelling of shear bands using adaptive meshfree methods. Computer Methods in Applied Mechanics and Engineering 197 (2008) 641-658
42. You Y., Chen J., and Lu H. Filters, reproducing kernel and adaptive meshfree methods. Computational Mechanics 31 (2003) 316-326
43. Areias P., Sa J., Antonio C.C., Carneiro J., and Texeira V. Strong displacement discontinuity and Lagrange multipliers in the analysis of finite displacement fracture problem. Computational Mechanics 35 (2004) 44-71
44. Liu T.X., Liu G., and Wang Q.J. An element-free Galerkin-finite element coupling method for elasto-plastic contact problems. Journal of Tribology - Transactions of the ASME 128 (2006) 1-9
45. Belytschko T., and Lu Y.Y. Element-free Galerkin methods for static and dynamic fracture. International Journal of Solids and Structures 32 (1995) 2547-2570
46. Hegen D. Element-free Galerkin methods in combination with finite element approaches. Computer Methods in Applied Mechanics and Engineering 135 (1996) 143-166
47. Rabczuk T., and Belytschko T. Application of particle methods to static fracture of reinforced concrete structures. International Journal of Fracture 137 1-4 (2006) 19-49
48. Rabczuk T., Xiao S.P., and Sauer A. Coupling of mesh-free methods with finite elements: basic concepts and test results. Communications in Numerical Methods in Engineering 22 10 (2006) 1031-1065
49. Nguyen V.P., Rabczuk T., Bordas S., and Duflot M. Meshless methods: a review and computer implementation aspects. Mathematics and Computers in Simulation 79 (2008) 763-813
50. Wagner G., and Liu W.K. Application of essential boundary conditions in mesh-free methods: a corrected collocation method. International Journal for Numerical Methods in Engineering 47 (2000) 1367-1379
51. Rabczuk T., and Eibl J. Simulation of high velocity concrete fragmentation using sph/mlsph. International Journal for Numerical Methods in Engineering 56 (2003) 1421-1444
52. Rabczuk T., and Eibl J. Modelling dynamic failure of concrete with meshfree methods. International Journal of Impact Engineering 32 11 (2006) 1878-1897
53. Belytschko T., and Neal M.O. Contact-impact by the pinball algorithm with penalty and Lagrangian-methods. Computer Methods in Applied Mechanics and Engineering 31 (1991) 547-572
54. Peirce D., Shih C.F., and Needleman A. A tangent modulus method for the rate dependent solids. Computers & Structures 18 (1984) 168-173
55. Ortiz M., Leroy Y., and Needleman A. Finite element method for localized failure analysis. Computer Methods in Applied Mechanics and Engineering 61 (1987) 189-213
56. Rabczuk T., and Zi G. A meshfree method based on the local partition of unity for cohesive cracks. Computational Mechanics 39 6 (2007) 743-760
57. Rabczuk T., Zi G., Bordas S., and Nguyen-Xuan H. A geometrically non-linear three dimensional cohesive crack method for reinforced concrete structures. Engineering Fracture Mechanics 75 16 (2008) 4740-4758
58. Bordas S., Rabczuk T., and Zi G. Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by extrinsic discontinuous enrichment of meshfree methods without asymptotic enrichment. Engineering Fracture Mechanics 75 5 (2008) 943-960
59. Rabczuk T., Bordas S., and Zi G. A three-dimensional meshfree method for continuous multiplecrack initiation, nucleation and propagation in statics and dynamics. Computational Mechanics 40 3 (2007) 473-495
60. Hao S., and Liu W.K. Bimaterial interfacial crack growth with strain gradient theory. Journal of Engineering Materials and Technology-Transactions of the ASME 121 (1999) 413-421
61. Hao S., Liu W.K., and Weertman J. Cohesive solutions of intersonic moving dislocations. Philisophical Magazine 84 (2004) 1067-1104