Implementation and application of a gradient enhanced crystal plasticity model

Celal Soyarslan; Emin Semih Perdahcioglu; Emin Erkan Asik; A. H. Van Den Boogaard; S. Bargmann

doi:10.1063/1.5008183

Implementation and application of a gradient enhanced crystal plasticity model

Celal Soyarslan^*, Emin Semih Perdahcioglu, Emin Erkan Asik, A. H. Van Den Boogaard, S. Bargmann

^*Corresponding author for this work

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

4 Citations (Scopus)

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
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	https://doi.org/10.1063/1.5008183
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
Number	1
Volume	1896

Conference

Conference	20th International ESAFORM Conference on Material Forming
Abbreviated title	ESAFORM 2017
Country/Territory	Ireland
City	Dublin
Period	26/04/17 → 28/04/17
Internet address	http://www.esaform2017.com/ehome/index.php?eventid=153382&

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Soyarslan, C., Perdahcioglu, E. S., Asik, E. E., Van Den Boogaard, A. H., & Bargmann, S. (2017). Implementation and application of a gradient enhanced crystal plasticity model. In Proceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017 (Vol. 1896). Article 160008 (AIP conference proceedings; Vol. 1896, No. 1). American Institute of Physics. https://doi.org/10.1063/1.5008183

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title = "Implementation and application of a gradient enhanced crystal plasticity model",

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.",

author = "Celal Soyarslan and Perdahcioglu, {Emin Semih} and Asik, {Emin Erkan} and {Van Den Boogaard}, {A. H.} and S. Bargmann",

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note = "20th International ESAFORM Conference on Material Forming, ESAFORM 2017 ; Conference date: 26-04-2017 Through 28-04-2017",

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Soyarslan, C , Perdahcioglu, ES, Asik, EE, Van Den Boogaard, AH & Bargmann, S 2017, Implementation and application of a gradient enhanced crystal plasticity model. in 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, Celal ; Perdahcioglu, Emin Semih; Asik, Emin Erkan et al.
Proceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017. Vol. 1896 American Institute of Physics, 2017. 160008 (AIP conference proceedings; Vol. 1896, No. 1).

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

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AU - Soyarslan, Celal

AU - Perdahcioglu, Emin Semih

AU - Asik, Emin Erkan

AU - Van Den Boogaard, A. H.

AU - Bargmann, S.

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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.

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Implementation and application of a gradient enhanced crystal plasticity model

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