### Abstract

A rate-independent crystal plasticity model is implemented in which description of the hardening of the material is given as a function of the total dislocation density. The evolution of statistically stored dislocations (SSDs) is described using a saturating type evolution law. The evolution of geometrically necessary dislocations (GNDs) on the other hand is described using the gradient of the plastic strain tensor in a non-local manner. The gradient of the incremental plastic strain tensor is computed explicitly during an implicit FE simulation after each converged step. Using the plastic strain tensor stored as state variables at each integration point and an efficient numerical algorithm to find the gradients, the GND density is obtained. This results in a weak coupling of the equilibrium solution and the gradient enhancement. The algorithm is applied to an academic test problem which considers growth of a cylindrical void in a single crystal matrix.

Original language | English |
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Title of host publication | Proceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017 |

Publisher | American Institute of Physics |

Volume | 1896 |

ISBN (Electronic) | 9780735415805 |

DOIs | |

Publication status | Published - 16 Oct 2017 |

Event | 20th International ESAFORM Conference on Material Forming - City University Dublin, Dublin, Ireland Duration: 26 Apr 2017 → 28 Apr 2017 Conference number: 20 http://www.esaform2017.com/ehome/index.php?eventid=153382& |

### Publication series

Name | AIP conference proceedings |
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Number | 1 |

Volume | 1896 |

### Conference

Conference | 20th International ESAFORM Conference on Material Forming |
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Abbreviated title | ESAFORM 2017 |

Country | Ireland |

City | Dublin |

Period | 26/04/17 → 28/04/17 |

Internet address |

### Fingerprint

### Cite this

*Proceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017*(Vol. 1896). [160008] (AIP conference proceedings; Vol. 1896, No. 1). American Institute of Physics. https://doi.org/10.1063/1.5008183

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*Proceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017.*vol. 1896, 160008, AIP conference proceedings, no. 1, vol. 1896, American Institute of Physics, 20th International ESAFORM Conference on Material Forming, Dublin, Ireland, 26/04/17. https://doi.org/10.1063/1.5008183

**Implementation and application of a gradient enhanced crystal plasticity model.** / Soyarslan, C.; Perdahcioglu, Emin Semih; Asik, Emin Erkan; Van Den Boogaard, A. H.; Bargmann, S.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Implementation and application of a gradient enhanced crystal plasticity model

AU - Soyarslan, C.

AU - Perdahcioglu, Emin Semih

AU - Asik, Emin Erkan

AU - Van Den Boogaard, A. H.

AU - Bargmann, S.

PY - 2017/10/16

Y1 - 2017/10/16

N2 - A rate-independent crystal plasticity model is implemented in which description of the hardening of the material is given as a function of the total dislocation density. The evolution of statistically stored dislocations (SSDs) is described using a saturating type evolution law. The evolution of geometrically necessary dislocations (GNDs) on the other hand is described using the gradient of the plastic strain tensor in a non-local manner. The gradient of the incremental plastic strain tensor is computed explicitly during an implicit FE simulation after each converged step. Using the plastic strain tensor stored as state variables at each integration point and an efficient numerical algorithm to find the gradients, the GND density is obtained. This results in a weak coupling of the equilibrium solution and the gradient enhancement. The algorithm is applied to an academic test problem which considers growth of a cylindrical void in a single crystal matrix.

AB - A rate-independent crystal plasticity model is implemented in which description of the hardening of the material is given as a function of the total dislocation density. The evolution of statistically stored dislocations (SSDs) is described using a saturating type evolution law. The evolution of geometrically necessary dislocations (GNDs) on the other hand is described using the gradient of the plastic strain tensor in a non-local manner. The gradient of the incremental plastic strain tensor is computed explicitly during an implicit FE simulation after each converged step. Using the plastic strain tensor stored as state variables at each integration point and an efficient numerical algorithm to find the gradients, the GND density is obtained. This results in a weak coupling of the equilibrium solution and the gradient enhancement. The algorithm is applied to an academic test problem which considers growth of a cylindrical void in a single crystal matrix.

UR - http://www.scopus.com/inward/record.url?scp=85037679120&partnerID=8YFLogxK

U2 - 10.1063/1.5008183

DO - 10.1063/1.5008183

M3 - Conference contribution

VL - 1896

T3 - AIP conference proceedings

BT - Proceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017

PB - American Institute of Physics

ER -