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A New Model for Void Coalescence by Internal Necking

By F. Scheyvaerts, T. Pardoen and P.R. Onck


A micromechanical model for predicting the strain increment required to bring a damaged material element from the onset of void coalescence up to final fracture is developed based on simple kinematics arguments. This strain increment controls the unloading slope and the energy dissipated during the final step of material failure. Proper prediction of the final drop of the load carrying capacity is an important ingredient of any ductile fracture model, especially at high stress triaxiality. The model has been motivated and verified by comparison to a large set of finite element void cell calculations.

Year: 2010
DOI identifier: 10.1177/1056789508101918
OAI identifier: oai:ub.rug.nl:dbi/4b62f1890f53a

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  2. (2008). A Constitutive Model for Elastoplastic Solids Containing Primary and Secondary Voids, doi
  3. (1968). A Criterion for Ductile Fracture by the Growth of Holes, doi
  4. (1995). A New Failure Criterion for the Gurson-Tvergaard Dilational Constitutive Model, doi
  5. (2000). A New Model for Void Coalescence by Internal Necking 123 at University of doi
  6. (2010). A New Model for Void Coalescence by Internal Necking 125 at University of Groningen on doi
  7. (1968). A Theory of Ductile Fracture by Internal Necking of Cavities,
  8. (2004). ABAQUS/Standard version 6.5. User’s Manual.
  9. (2000). Accelerated Void Growth in Porous Ductile Solids Containing Two Populations of Cavities, doi
  10. (1984). An Analysis of Ductile Rupture in Notched Bars, doi
  11. (2000). An Extended Model for Void Growth and Coalescence, doi
  12. (1995). An Improved Gurson-type Model for Hardenable Ductile Metals,
  13. (1984). Analysis of the Cup and Cone Fracture in a Round Tensile Bar, doi
  14. (2004). Anisotropic Ductile Fracture – Part II: theory, doi
  15. (2004). Application of an Extended Void Growth Model with Strain Hardening and Void Shape Evolution to Ductile Fracture under Axisymmetric Tension, Engng Fract. doi
  16. (1993). Approximate Models for Ductile Metals Containing Non Spherical Voids – Case of Axisymmetric Prolate Ellipsoidal Cavities, doi
  17. (1994). Approximate Models for Ductile Metals Containing Non-spherical Voids – Case of Axisymmetric Oblate Ellipsoidal Cavities. doi
  18. (1998). Assessment of Void Growth Models from Porosity Measurements in doi
  19. (1998). Cell Model for Nonlinear Fracture Analysis – II. Fracture-process Calibration and Verification,
  20. (1999). Coalescence-controlled Anisotropic Ductile Fracture, doi
  21. (1977). Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I – Yield Criteria and Flow Rules for Porous Ductile Media, doi
  22. (2001). Damage Characterization and Damage Percolation Modelling in Aluminum Alloy Sheet, doi
  23. (1994). Dilatant Plasticity or Upper Bound Estimates for Porous Ductile Solids, doi
  24. (1995). Ductile Crack Growth - doi
  25. (1995). Ductile Crack Growth-II. Void Nucleation and Geometry Effects on Macroscopic Fracture Behavior, doi
  26. (1996). Ductile Crack Growth-III. Transition to Cleavage Fracture Incorporating Statistics, doi
  27. (1990). Ductile Fracture of Metals, doi
  28. (1979). Elastic-Plastic Fracture. American Society for Testing and Materials, doi
  29. (1982). Etude de la Rupture Ductile et de la Rupture par Clivage d’aciers Faiblement Allies,
  30. (1994). Exact Results and Approximate Models for Porous Viscoplastic Solids, doi
  31. (1998). Experimental and Numerical Comparison of Void Growth Models and Void Coalescence Criteria for the Prediction of Ductile Fracture in Copper Bars, doi
  32. (2007). Failure Mechanisms of Metals, doi
  33. (1971). Fracture – an Advanced Treatise, doi
  34. (2003). Grain Boundary Versus Transgranular Ductile Failure, doi
  35. (2006). Growth and Coalescence of Pennyshaped Voids in Metallic Alloys, Engng Fract. doi
  36. (2010). http://ijd.sagepub.com Downloaded from
  37. (2005). In:
  38. (1981). Influence of Voids on Shear Band Instabilities Under Plane Strain Conditions, doi
  39. (1968). Local Criteria for Ductile Fracture, doi
  40. (1990). Material Failure by Void Growth to Coalescence, doi
  41. (2003). Micromechanics-based Model for Trends in Toughness of Ductile Metals, doi
  42. (1996). Numerical Modeling of Ductile Crack Growth in 3-D using Computational Cell Elements, doi
  43. (2006). Numerical Simulation of Low Stress Triaxiality Ductile Fracture, doi
  44. (1998). On the Coalescence of Voids in doi
  45. (1987). On the Competition Between Particle Fracture and Particle Decohesion in doi
  46. (1997). Recent Extensions of Gurson’s Model for Porous Ductile Metals, doi
  47. (2000). Simulation of Ductile Crack Growth using Computational Cells: numerical Aspects, doi
  48. (1997). Studies of Void Growth in a Thin Ductile Layer Between Ceramics, doi
  49. (2001). Theoretical Models for Void Coalescence in Porous Ductile Solids. doi
  50. (1989). Three-dimensional Void Growth Before a Blunting Crack Tip, doi
  51. (1995). Verification of the Transferability of Micromechanical Parameters by Cell Model Calculations with Visco-plastic Materials, doi
  52. (2008). Visualization by X-ray Tomography of Void Growth and Coalescence Leading to Fracture in Model Materials, doi
  53. (2003). Void Coalescence Within Periodic Clusters of Particles, doi
  54. (1988). Void Growth and Coalescence in Porous Plastic Solids, doi
  55. (1988). Void Growth and Failure in Notched Bars, doi
  56. (2005). Void Growth and Void Nucleation Controlled Ductility in Quasi Eutectic Cast Aluminium Alloys, doi

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