From Atomistic Model to the Peierls–Nabarro Model with $${\gamma}$$γ-surface for Dislocations
Published 2018 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
From Atomistic Model to the Peierls–Nabarro Model with
$${\gamma}$$γ-surface for Dislocations
Authors
Keywords
-
Journal
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume -, Issue -, Pages -
Publisher
Springer Nature
Online
2018-05-11
DOI
10.1007/s00205-018-1257-x
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- Relaxation times for atom dislocations in crystals
- (2016) Stefania Patrizi et al. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
- Chaotic Orbits for Systems of Nonlocal Equations
- (2016) Serena Dipierro et al. COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Dislocation microstructures and strain-gradient plasticity with one active slip plane
- (2016) Sergio Conti et al. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
- Twisted Bilayer Graphene: Moiré with a Twist
- (2016) Shuyang Dai et al. NANO LETTERS
- Mechanism and energetics of 〈c + a〉 dislocation cross-slip in hcp metals
- (2016) Zhaoxuan Wu et al. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
- The Line-Tension Approximation as the Dilute Limit of Linear-Elastic Dislocations
- (2015) Sergio Conti et al. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
- Atomistically determined phase-field modeling of dislocation dissociation, stacking fault formation, dislocation slip, and reactions in fcc systems
- (2015) Jaber Rezaei Mianroodi et al. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
- Homogenization and Orowan’s law for anisotropic fractional operators of any order
- (2015) Stefania Patrizi et al. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
- The dislocation equation as a generalization of Peierls equation
- (2015) Shaofeng Wang PHILOSOPHICAL MAGAZINE
- van der Waals bilayer energetics: Generalized stacking-fault energy of graphene, boron nitride, and graphene/boron nitride bilayers
- (2015) Songsong Zhou et al. PHYSICAL REVIEW B
- Measurement of the cleavage energy of graphite
- (2015) Wen Wang et al. Nature Communications
- Atomistic, generalized Peierls–Nabarro and analytical models for (111) twist boundaries in Al, Cu and Ni for all twist angles
- (2014) Shuyang Dai et al. ACTA MATERIALIA
- Predicting structure and energy of dislocations and grain boundaries
- (2014) Chen Shen et al. ACTA MATERIALIA
- Existence and Stability of a Screw Dislocation under Anti-Plane Deformation
- (2014) Thomas Hudson et al. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
- Crystal Dislocations with Different Orientations and Collisions
- (2014) Stefania Patrizi et al. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
- Dislocation Dynamics in Crystals: A Macroscopic Theory in a Fractional Laplace Setting
- (2014) Serena Dipierro et al. COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Structure and energy of (111) low-angle twist boundaries in Al, Cu and Ni
- (2012) Shuyang Dai et al. ACTA MATERIALIA
- Finite Element Analysis of Cauchy–Born Approximations to Atomistic Models
- (2012) Charalambos Makridakis et al. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
- Γ-Convergence Analysis of Systems of Edge Dislocations: the Self Energy Regime
- (2012) L. De Luca et al. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
- Justification of the Cauchy–Born Approximation of Elastodynamics
- (2012) C. Ortner et al. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
- Derivation of Orowan's Law from the Peierls–Nabarro Model
- (2012) Régis Monneau et al. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
- Convergence of a Force-Based Hybrid Method in Three Dimensions
- (2012) Jianfeng Lu et al. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
- Stacking faults and partial dislocations in graphene
- (2012) M.P. Ariza et al. PHILOSOPHICAL MAGAZINE
- The Peierls–Nabarro model as a limit of a Frenkel–Kontorova model
- (2011) A.Z. Fino et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- Singular Kernels, Multiscale Decomposition of Microstructure, and Dislocation Models
- (2010) Sergio Conti et al. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
- Gradient theory for plasticity via homogenization of discrete dislocations
- (2010) Adriana Garroni et al. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
- Discrete dislocations in graphene
- (2010) M.P. Ariza et al. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
- A continuum model for core relaxation of incoherent twin boundaries based on the Peierls–Nabarro framework
- (2010) Shuyang Dai et al. SCRIPTA MATERIALIA
- Dislocation dynamics: from microscopic models to macroscopic crystal plasticity
- (2009) A. El Hajj et al. CONTINUUM MECHANICS AND THERMODYNAMICS
- Continuum approximation of the Peach–Koehler force on dislocations in a slip plane
- (2009) Yang Xiang JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
- A generalized Peierls–Nabarro model for kinked dislocations
- (2009) He Wei et al. PHILOSOPHICAL MAGAZINE
- A generalized Peierls–Nabarro model for curved dislocations and core structures of dislocation loops in Al and Cu
- (2008) Yang Xiang et al. ACTA MATERIALIA
Discover Peeref hubs
Discuss science. Find collaborators. Network.
Join a conversationAsk a Question. Answer a Question.
Quickly pose questions to the entire community. Debate answers and get clarity on the most important issues facing researchers.
Get Started