4.4 Article

Statistics of internal stress fluctuations in dislocated crystals and relevance to density-based dislocation dynamics models

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Materials Science, Multidisciplinary

On the implementation of dislocation reactions in continuum dislocation dynamics modeling of mesoscale plasticity

Vignesh Vivekanandan et al.

Summary: The continuum dislocation dynamics framework aims to capture the evolution of dislocation density and deformation of crystals under mechanical loading by solving transport equations for dislocations concurrently with crystal mechanics equations, incorporating dislocation reactions to improve predictability. The proposed formulation, which includes virtual dislocations to enforce dislocation line continuity, enables accurate enforcement of divergence free condition in numerical solutions, leading to highly accurate results in comparison with previous approaches.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2021)

Article Materials Science, Multidisciplinary

Incorporating point defect generation due to jog formation into the vector density-based continuum dislocation dynamics approach

Peng Lin et al.

Summary: The detailed model for jog formation and transport during plastic deformation of crystalline materials was developed within the vector density-based continuum dislocation dynamics framework, with a focus on the balance equations for point defect generation associated with jog transport. Results showed an asymmetry in vacancy and interstitial generation, and coupling the point defect generation mechanism to dislocation dynamics led to a higher hardening rate and dislocation density.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2021)

Article Engineering, Mechanical

On the computational solution of vector-density based continuum dislocation dynamics models: A comparison of two plastic distortion and stress update algorithms

Peng Lin et al.

Summary: Continuum dislocation dynamics models of mesoscale plasticity involve coupling dislocation transport reaction equations with crystal mechanics equations, where plastic distortion evolves with dislocation transport and in turn fixes the stress. A new scheme based on field dislocation mechanics is introduced to ensure consistency between plastic distortion and dislocation content in the crystal, showing higher accuracy compared to traditional direct time integration schemes. Simulations using this method on an austenitic steel crystal under uniaxial loading and multiple slip conditions demonstrate the emergence of self-organized structures in dislocations as strain increases.

INTERNATIONAL JOURNAL OF PLASTICITY (2021)

Article Materials Science, Multidisciplinary

Dislocation multiplication in stage II deformation of fcc multi-slip single crystals

Markus Stricker et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2018)

Article Materials Science, Multidisciplinary

The discrete-continuum connection in dislocation dynamics: I. Time coarse graining of cross slip

Shengxu Xia et al.

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING (2016)

Article Materials Science, Multidisciplinary

Microstructurally based cross-slip mechanisms and their effects on dislocation microstructure evolution in fcc crystals

Ahmed M. Hussein et al.

ACTA MATERIALIA (2015)

Article Materials Science, Multidisciplinary

Computational modelling of mesoscale dislocation patterning and plastic deformation of single crystals

Shengxu Xia et al.

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING (2015)

Article Materials Science, Multidisciplinary

Multipole expansion of continuum dislocations dynamics in terms of alignment tensors

T. Hochrainer

PHILOSOPHICAL MAGAZINE (2015)

Article Materials Science, Multidisciplinary

Recent Progress in Discrete Dislocation Dynamics and Its Applications to Micro Plasticity

Giacomo Po et al.

Article Materials Science, Multidisciplinary

Numerical implementation of a 3D continuum theory of dislocation dynamics and application to micro-bending

S. Sandfeld et al.

PHILOSOPHICAL MAGAZINE (2010)

Article Materials Science, Multidisciplinary

Mathematical and computational modelling of correlations in dislocation dynamics

Jie Deng et al.

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING (2009)

Article Materials Science, Multidisciplinary

On the elastic boundary value problem of dislocations in bounded crystals

J. Deng et al.

PHILOSOPHICAL MAGAZINE (2008)

Article Materials Science, Multidisciplinary

A three-dimensional continuum theory of dislocation systems: kinematics and mean-field formulation

T. Hochrainer et al.

PHILOSOPHICAL MAGAZINE (2007)

Article Computer Science, Interdisciplinary Applications

Dislocation pair correlations from dislocation dynamics simulations

Jie Deng et al.

JOURNAL OF COMPUTER-AIDED MATERIALS DESIGN (2007)

Article Materials Science, Multidisciplinary

Enabling strain hardening simulations with dislocation dynamics

A. Arsenlis et al.

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING (2007)

Article Materials Science, Multidisciplinary

Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I

Amit Acharya et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2006)

Article Materials Science, Multidisciplinary

A non-singular continuum theory of dislocations

W Cai et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2006)

Article Multidisciplinary Sciences

Driving forces and boundary conditions in continuum dislocation mechanics

A Acharya

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2003)

Article Materials Science, Multidisciplinary

Aspects of boundary-value problem solutions with three-dimensional dislocation dynamics

D Weygand et al.

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING (2002)

Article Materials Science, Multidisciplinary

The boundary value problem of dislocation dynamics

A El-Azab

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING (2000)