Multiscale modeling of dislocations: combining peridynamics with gradient elasticity

Abstract Modeling dislocations is an inherently multiscale problem as one needs to simultaneously describe the high stress fields near the dislocation cores, which depend on atomistic length scales, and a surface boundary value problem which depends on boundary conditions on the sample scale. We pre...
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Autor*in:	Ritter, Jonas [verfasserIn] Zaiser, Michael

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2024

Schlagwörter:	Dislocations Peridynamics Gradient elasticity

Anmerkung:	© The Author(s) 2024. corrected publication 2024

Übergeordnetes Werk:	Enthalten in: Journal of materials science. Materials theory - Springer International Publishing, 2024, 8(2024), 1 vom: 05. Feb.
Übergeordnetes Werk:	volume:8 ; year:2024 ; number:1 ; day:05 ; month:02

Links:	Volltext

DOI / URN:	10.1186/s41313-024-00052-y

Katalog-ID:	SPR054659698

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allfields	10.1186/s41313-024-00052-y doi (DE-627)SPR054659698 (SPR)s41313-024-00052-y-e DE-627 ger DE-627 rakwb eng Ritter, Jonas verfasserin aut Multiscale modeling of dislocations: combining peridynamics with gradient elasticity 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2024. corrected publication 2024 Abstract Modeling dislocations is an inherently multiscale problem as one needs to simultaneously describe the high stress fields near the dislocation cores, which depend on atomistic length scales, and a surface boundary value problem which depends on boundary conditions on the sample scale. We present a novel approach which is based on a peridynamic dislocation model to deal with the surface boundary value problem. In this model, the singularity of the stress field at the dislocation core is regularized owing to the non-local nature of peridynamics. The effective core radius is defined by the peridynamic horizon which, for reasons of computational cost, must be chosen much larger than the lattice constant. This implies that dislocation stresses in the near-core region are seriously underestimated. By exploiting relationships between peridynamics and Mindlin-type gradient elasticity, we then show that gradient elasticity can be used to construct short-range corrections to the peridynamic stress field that yield a correct description of dislocation stresses from the atomic to the sample scale. Dislocations (dpeaa)DE-He213 Peridynamics (dpeaa)DE-He213 Gradient elasticity (dpeaa)DE-He213 Zaiser, Michael aut Enthalten in Journal of materials science. Materials theory Springer International Publishing, 2024 8(2024), 1 vom: 05. Feb. Online-Ressource (DE-627)1882943872 (DE-600)3181290-9 3004-8966 nnns volume:8 year:2024 number:1 day:05 month:02 https://dx.doi.org/10.1186/s41313-024-00052-y kostenfrei Volltext SYSFLAG_0 GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2024 1 05 02
spelling	10.1186/s41313-024-00052-y doi (DE-627)SPR054659698 (SPR)s41313-024-00052-y-e DE-627 ger DE-627 rakwb eng Ritter, Jonas verfasserin aut Multiscale modeling of dislocations: combining peridynamics with gradient elasticity 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2024. corrected publication 2024 Abstract Modeling dislocations is an inherently multiscale problem as one needs to simultaneously describe the high stress fields near the dislocation cores, which depend on atomistic length scales, and a surface boundary value problem which depends on boundary conditions on the sample scale. We present a novel approach which is based on a peridynamic dislocation model to deal with the surface boundary value problem. In this model, the singularity of the stress field at the dislocation core is regularized owing to the non-local nature of peridynamics. The effective core radius is defined by the peridynamic horizon which, for reasons of computational cost, must be chosen much larger than the lattice constant. This implies that dislocation stresses in the near-core region are seriously underestimated. By exploiting relationships between peridynamics and Mindlin-type gradient elasticity, we then show that gradient elasticity can be used to construct short-range corrections to the peridynamic stress field that yield a correct description of dislocation stresses from the atomic to the sample scale. Dislocations (dpeaa)DE-He213 Peridynamics (dpeaa)DE-He213 Gradient elasticity (dpeaa)DE-He213 Zaiser, Michael aut Enthalten in Journal of materials science. Materials theory Springer International Publishing, 2024 8(2024), 1 vom: 05. Feb. Online-Ressource (DE-627)1882943872 (DE-600)3181290-9 3004-8966 nnns volume:8 year:2024 number:1 day:05 month:02 https://dx.doi.org/10.1186/s41313-024-00052-y kostenfrei Volltext SYSFLAG_0 GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2024 1 05 02
allfields_unstemmed	10.1186/s41313-024-00052-y doi (DE-627)SPR054659698 (SPR)s41313-024-00052-y-e DE-627 ger DE-627 rakwb eng Ritter, Jonas verfasserin aut Multiscale modeling of dislocations: combining peridynamics with gradient elasticity 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2024. corrected publication 2024 Abstract Modeling dislocations is an inherently multiscale problem as one needs to simultaneously describe the high stress fields near the dislocation cores, which depend on atomistic length scales, and a surface boundary value problem which depends on boundary conditions on the sample scale. We present a novel approach which is based on a peridynamic dislocation model to deal with the surface boundary value problem. In this model, the singularity of the stress field at the dislocation core is regularized owing to the non-local nature of peridynamics. The effective core radius is defined by the peridynamic horizon which, for reasons of computational cost, must be chosen much larger than the lattice constant. This implies that dislocation stresses in the near-core region are seriously underestimated. By exploiting relationships between peridynamics and Mindlin-type gradient elasticity, we then show that gradient elasticity can be used to construct short-range corrections to the peridynamic stress field that yield a correct description of dislocation stresses from the atomic to the sample scale. Dislocations (dpeaa)DE-He213 Peridynamics (dpeaa)DE-He213 Gradient elasticity (dpeaa)DE-He213 Zaiser, Michael aut Enthalten in Journal of materials science. Materials theory Springer International Publishing, 2024 8(2024), 1 vom: 05. Feb. Online-Ressource (DE-627)1882943872 (DE-600)3181290-9 3004-8966 nnns volume:8 year:2024 number:1 day:05 month:02 https://dx.doi.org/10.1186/s41313-024-00052-y kostenfrei Volltext SYSFLAG_0 GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2024 1 05 02
allfieldsGer	10.1186/s41313-024-00052-y doi (DE-627)SPR054659698 (SPR)s41313-024-00052-y-e DE-627 ger DE-627 rakwb eng Ritter, Jonas verfasserin aut Multiscale modeling of dislocations: combining peridynamics with gradient elasticity 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2024. corrected publication 2024 Abstract Modeling dislocations is an inherently multiscale problem as one needs to simultaneously describe the high stress fields near the dislocation cores, which depend on atomistic length scales, and a surface boundary value problem which depends on boundary conditions on the sample scale. We present a novel approach which is based on a peridynamic dislocation model to deal with the surface boundary value problem. In this model, the singularity of the stress field at the dislocation core is regularized owing to the non-local nature of peridynamics. The effective core radius is defined by the peridynamic horizon which, for reasons of computational cost, must be chosen much larger than the lattice constant. This implies that dislocation stresses in the near-core region are seriously underestimated. By exploiting relationships between peridynamics and Mindlin-type gradient elasticity, we then show that gradient elasticity can be used to construct short-range corrections to the peridynamic stress field that yield a correct description of dislocation stresses from the atomic to the sample scale. Dislocations (dpeaa)DE-He213 Peridynamics (dpeaa)DE-He213 Gradient elasticity (dpeaa)DE-He213 Zaiser, Michael aut Enthalten in Journal of materials science. Materials theory Springer International Publishing, 2024 8(2024), 1 vom: 05. Feb. Online-Ressource (DE-627)1882943872 (DE-600)3181290-9 3004-8966 nnns volume:8 year:2024 number:1 day:05 month:02 https://dx.doi.org/10.1186/s41313-024-00052-y kostenfrei Volltext SYSFLAG_0 GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2024 1 05 02
allfieldsSound	10.1186/s41313-024-00052-y doi (DE-627)SPR054659698 (SPR)s41313-024-00052-y-e DE-627 ger DE-627 rakwb eng Ritter, Jonas verfasserin aut Multiscale modeling of dislocations: combining peridynamics with gradient elasticity 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2024. corrected publication 2024 Abstract Modeling dislocations is an inherently multiscale problem as one needs to simultaneously describe the high stress fields near the dislocation cores, which depend on atomistic length scales, and a surface boundary value problem which depends on boundary conditions on the sample scale. We present a novel approach which is based on a peridynamic dislocation model to deal with the surface boundary value problem. In this model, the singularity of the stress field at the dislocation core is regularized owing to the non-local nature of peridynamics. The effective core radius is defined by the peridynamic horizon which, for reasons of computational cost, must be chosen much larger than the lattice constant. This implies that dislocation stresses in the near-core region are seriously underestimated. By exploiting relationships between peridynamics and Mindlin-type gradient elasticity, we then show that gradient elasticity can be used to construct short-range corrections to the peridynamic stress field that yield a correct description of dislocation stresses from the atomic to the sample scale. Dislocations (dpeaa)DE-He213 Peridynamics (dpeaa)DE-He213 Gradient elasticity (dpeaa)DE-He213 Zaiser, Michael aut Enthalten in Journal of materials science. Materials theory Springer International Publishing, 2024 8(2024), 1 vom: 05. Feb. Online-Ressource (DE-627)1882943872 (DE-600)3181290-9 3004-8966 nnns volume:8 year:2024 number:1 day:05 month:02 https://dx.doi.org/10.1186/s41313-024-00052-y kostenfrei Volltext SYSFLAG_0 GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2024 1 05 02
language	English
source	Enthalten in Journal of materials science. Materials theory 8(2024), 1 vom: 05. Feb. volume:8 year:2024 number:1 day:05 month:02
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author	Ritter, Jonas
spellingShingle	Ritter, Jonas misc Dislocations misc Peridynamics misc Gradient elasticity Multiscale modeling of dislocations: combining peridynamics with gradient elasticity
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topic_title	Multiscale modeling of dislocations: combining peridynamics with gradient elasticity Dislocations (dpeaa)DE-He213 Peridynamics (dpeaa)DE-He213 Gradient elasticity (dpeaa)DE-He213
topic	misc Dislocations misc Peridynamics misc Gradient elasticity
topic_unstemmed	misc Dislocations misc Peridynamics misc Gradient elasticity
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title	Multiscale modeling of dislocations: combining peridynamics with gradient elasticity
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title_full	Multiscale modeling of dislocations: combining peridynamics with gradient elasticity
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title_sort	multiscale modeling of dislocations: combining peridynamics with gradient elasticity
title_auth	Multiscale modeling of dislocations: combining peridynamics with gradient elasticity
abstract	Abstract Modeling dislocations is an inherently multiscale problem as one needs to simultaneously describe the high stress fields near the dislocation cores, which depend on atomistic length scales, and a surface boundary value problem which depends on boundary conditions on the sample scale. We present a novel approach which is based on a peridynamic dislocation model to deal with the surface boundary value problem. In this model, the singularity of the stress field at the dislocation core is regularized owing to the non-local nature of peridynamics. The effective core radius is defined by the peridynamic horizon which, for reasons of computational cost, must be chosen much larger than the lattice constant. This implies that dislocation stresses in the near-core region are seriously underestimated. By exploiting relationships between peridynamics and Mindlin-type gradient elasticity, we then show that gradient elasticity can be used to construct short-range corrections to the peridynamic stress field that yield a correct description of dislocation stresses from the atomic to the sample scale. © The Author(s) 2024. corrected publication 2024
abstractGer	Abstract Modeling dislocations is an inherently multiscale problem as one needs to simultaneously describe the high stress fields near the dislocation cores, which depend on atomistic length scales, and a surface boundary value problem which depends on boundary conditions on the sample scale. We present a novel approach which is based on a peridynamic dislocation model to deal with the surface boundary value problem. In this model, the singularity of the stress field at the dislocation core is regularized owing to the non-local nature of peridynamics. The effective core radius is defined by the peridynamic horizon which, for reasons of computational cost, must be chosen much larger than the lattice constant. This implies that dislocation stresses in the near-core region are seriously underestimated. By exploiting relationships between peridynamics and Mindlin-type gradient elasticity, we then show that gradient elasticity can be used to construct short-range corrections to the peridynamic stress field that yield a correct description of dislocation stresses from the atomic to the sample scale. © The Author(s) 2024. corrected publication 2024
abstract_unstemmed	Abstract Modeling dislocations is an inherently multiscale problem as one needs to simultaneously describe the high stress fields near the dislocation cores, which depend on atomistic length scales, and a surface boundary value problem which depends on boundary conditions on the sample scale. We present a novel approach which is based on a peridynamic dislocation model to deal with the surface boundary value problem. In this model, the singularity of the stress field at the dislocation core is regularized owing to the non-local nature of peridynamics. The effective core radius is defined by the peridynamic horizon which, for reasons of computational cost, must be chosen much larger than the lattice constant. This implies that dislocation stresses in the near-core region are seriously underestimated. By exploiting relationships between peridynamics and Mindlin-type gradient elasticity, we then show that gradient elasticity can be used to construct short-range corrections to the peridynamic stress field that yield a correct description of dislocation stresses from the atomic to the sample scale. © The Author(s) 2024. corrected publication 2024
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title_short	Multiscale modeling of dislocations: combining peridynamics with gradient elasticity
url	https://dx.doi.org/10.1186/s41313-024-00052-y
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up_date	2024-07-04T02:33:05.308Z
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