A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion
We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in th...
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Gespeichert in:
| Autor*in: |
Po, Giacomo [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014transfer abstract |
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| Umfang: |
14 |
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| Übergeordnetes Werk: |
Enthalten in: Surgical repair of pectus excavatum relieves right heart chamber compression and improves cardiac output in adult patients—an intraoperative transesophageal echocardiographic study - Chao, Chieh-Ju ELSEVIER, 2015, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:66 ; year:2014 ; pages:103-116 ; extent:14 |
| Links: |
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| DOI / URN: |
10.1016/j.jmps.2014.01.012 |
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ELV039536785 |
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| 520 | |a We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. | ||
| 520 | |a We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. | ||
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| 650 | 7 | |a Dislocation dynamics |2 Elsevier | |
| 700 | 1 | |a Ghoniem, Nasr |4 oth | |
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10.1016/j.jmps.2014.01.012 doi GBVA2014021000005.pica (DE-627)ELV039536785 (ELSEVIER)S0022-5096(14)00022-2 DE-627 ger DE-627 rakwb eng 530 530 DE-600 610 VZ 610 VZ 44.90 bkl Po, Giacomo verfasserin aut A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion 2014transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. Vacancy diffusion Elsevier Climb Elsevier Entropy production Elsevier Dislocation dynamics Elsevier Ghoniem, Nasr oth Enthalten in Elsevier Science Chao, Chieh-Ju ELSEVIER Surgical repair of pectus excavatum relieves right heart chamber compression and improves cardiac output in adult patients—an intraoperative transesophageal echocardiographic study 2015 Amsterdam [u.a.] (DE-627)ELV023912561 volume:66 year:2014 pages:103-116 extent:14 https://doi.org/10.1016/j.jmps.2014.01.012 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 44.90 Neurologie VZ AR 66 2014 103-116 14 045F 530 |
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10.1016/j.jmps.2014.01.012 doi GBVA2014021000005.pica (DE-627)ELV039536785 (ELSEVIER)S0022-5096(14)00022-2 DE-627 ger DE-627 rakwb eng 530 530 DE-600 610 VZ 610 VZ 44.90 bkl Po, Giacomo verfasserin aut A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion 2014transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. Vacancy diffusion Elsevier Climb Elsevier Entropy production Elsevier Dislocation dynamics Elsevier Ghoniem, Nasr oth Enthalten in Elsevier Science Chao, Chieh-Ju ELSEVIER Surgical repair of pectus excavatum relieves right heart chamber compression and improves cardiac output in adult patients—an intraoperative transesophageal echocardiographic study 2015 Amsterdam [u.a.] (DE-627)ELV023912561 volume:66 year:2014 pages:103-116 extent:14 https://doi.org/10.1016/j.jmps.2014.01.012 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 44.90 Neurologie VZ AR 66 2014 103-116 14 045F 530 |
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10.1016/j.jmps.2014.01.012 doi GBVA2014021000005.pica (DE-627)ELV039536785 (ELSEVIER)S0022-5096(14)00022-2 DE-627 ger DE-627 rakwb eng 530 530 DE-600 610 VZ 610 VZ 44.90 bkl Po, Giacomo verfasserin aut A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion 2014transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. Vacancy diffusion Elsevier Climb Elsevier Entropy production Elsevier Dislocation dynamics Elsevier Ghoniem, Nasr oth Enthalten in Elsevier Science Chao, Chieh-Ju ELSEVIER Surgical repair of pectus excavatum relieves right heart chamber compression and improves cardiac output in adult patients—an intraoperative transesophageal echocardiographic study 2015 Amsterdam [u.a.] (DE-627)ELV023912561 volume:66 year:2014 pages:103-116 extent:14 https://doi.org/10.1016/j.jmps.2014.01.012 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 44.90 Neurologie VZ AR 66 2014 103-116 14 045F 530 |
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10.1016/j.jmps.2014.01.012 doi GBVA2014021000005.pica (DE-627)ELV039536785 (ELSEVIER)S0022-5096(14)00022-2 DE-627 ger DE-627 rakwb eng 530 530 DE-600 610 VZ 610 VZ 44.90 bkl Po, Giacomo verfasserin aut A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion 2014transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. Vacancy diffusion Elsevier Climb Elsevier Entropy production Elsevier Dislocation dynamics Elsevier Ghoniem, Nasr oth Enthalten in Elsevier Science Chao, Chieh-Ju ELSEVIER Surgical repair of pectus excavatum relieves right heart chamber compression and improves cardiac output in adult patients—an intraoperative transesophageal echocardiographic study 2015 Amsterdam [u.a.] (DE-627)ELV023912561 volume:66 year:2014 pages:103-116 extent:14 https://doi.org/10.1016/j.jmps.2014.01.012 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 44.90 Neurologie VZ AR 66 2014 103-116 14 045F 530 |
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10.1016/j.jmps.2014.01.012 doi GBVA2014021000005.pica (DE-627)ELV039536785 (ELSEVIER)S0022-5096(14)00022-2 DE-627 ger DE-627 rakwb eng 530 530 DE-600 610 VZ 610 VZ 44.90 bkl Po, Giacomo verfasserin aut A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion 2014transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. Vacancy diffusion Elsevier Climb Elsevier Entropy production Elsevier Dislocation dynamics Elsevier Ghoniem, Nasr oth Enthalten in Elsevier Science Chao, Chieh-Ju ELSEVIER Surgical repair of pectus excavatum relieves right heart chamber compression and improves cardiac output in adult patients—an intraoperative transesophageal echocardiographic study 2015 Amsterdam [u.a.] (DE-627)ELV023912561 volume:66 year:2014 pages:103-116 extent:14 https://doi.org/10.1016/j.jmps.2014.01.012 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 44.90 Neurologie VZ AR 66 2014 103-116 14 045F 530 |
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Enthalten in Surgical repair of pectus excavatum relieves right heart chamber compression and improves cardiac output in adult patients—an intraoperative transesophageal echocardiographic study Amsterdam [u.a.] volume:66 year:2014 pages:103-116 extent:14 |
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Enthalten in Surgical repair of pectus excavatum relieves right heart chamber compression and improves cardiac output in adult patients—an intraoperative transesophageal echocardiographic study Amsterdam [u.a.] volume:66 year:2014 pages:103-116 extent:14 |
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Surgical repair of pectus excavatum relieves right heart chamber compression and improves cardiac output in adult patients—an intraoperative transesophageal echocardiographic study |
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530 530 DE-600 610 VZ 44.90 bkl A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion Vacancy diffusion Elsevier Climb Elsevier Entropy production Elsevier Dislocation dynamics Elsevier |
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Surgical repair of pectus excavatum relieves right heart chamber compression and improves cardiac output in adult patients—an intraoperative transesophageal echocardiographic study |
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Surgical repair of pectus excavatum relieves right heart chamber compression and improves cardiac output in adult patients—an intraoperative transesophageal echocardiographic study |
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A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion |
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A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion |
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Po, Giacomo |
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Surgical repair of pectus excavatum relieves right heart chamber compression and improves cardiac output in adult patients—an intraoperative transesophageal echocardiographic study |
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Surgical repair of pectus excavatum relieves right heart chamber compression and improves cardiac output in adult patients—an intraoperative transesophageal echocardiographic study |
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10.1016/j.jmps.2014.01.012 |
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a variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion |
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A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion |
| abstract |
We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. |
| abstractGer |
We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. |
| abstract_unstemmed |
We present a formulation of the discrete Dislocation Dynamics (DD) method based on Onsager׳s variational principle. The motion of discrete dislocations is treated as a generalized irreversible flux associated with conjugate thermodynamic forces causing internal production of entropy. Intrinsic in the variational principle is the role of physical constraints that limit the choice of generalized fluxes. We leverage the concept of constrained maximization to introduce the requirement that dislocation climb must be sustained by the flux of vacancies into the dislocation core. The constrained variational approach results naturally in the coupling between plastic deformation induced by discrete dislocations, vacancy diffusion, and heat propagation in solid crystals. In particular, this coupling requires that dislocation velocity and chemical potential of vacancies at the dislocation core be found simultaneously. A new numerical formulation of DD that accounts for generalized constraints imposed on dislocations is presented, based on a network discretization of the dislocation configuration. Applications illustrate the significance of constrained motion of dislocations confined in channels and pillars, and the attainment of heterogeneous dislocation structures. |
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A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion |
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https://doi.org/10.1016/j.jmps.2014.01.012 |
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