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Erik Van der Giessen

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Papers by Erik Van der Giessen

Research paper thumbnail of Incorporating three-dimensional mechanisms into two-dimensional dislocation dynamics

Modelling and Simulation in Materials Science and Engineering, 2004

Constitutive rules are developed to include three-dimensional dislocation mechanisms, such as lin... more Constitutive rules are developed to include three-dimensional dislocation mechanisms, such as line tension and dynamic junction formation, within a two-dimensional dislocation dynamics formulation. Some of the junctions that form dynamically can operate as Frank-Read sources. Boundary value problems are solved by using superposition to represent the solution in terms of the infinite medium fields for discrete dislocations and non-singular complementary fields that enforce the boundary conditions. This framework is used to analyse the plane strain tension of a single crystal. Calculations are carried out to strains of 3-8%, and the transition from stage I to II hardening is exhibited. The dependence of this transition and of the stage II hardening on constitutive parameters is explored. A variety of stress-strain responses are obtained and compared with available experimental results. The emergence of dislocation cells is seen and the structure of the cells is described.

Research paper thumbnail of Incorporating three-dimensional mechanisms into two-dimensional dislocation dynamics

Modelling and Simulation in Materials Science and Engineering, 2004

Research paper thumbnail of ERRATUM: Incorporating three-dimensional mechanisms into two-dimensional dislocation dynamics

Modelling and Simulation in Materials Science and Engineering, 2004

Figures 1, 2, 4 and 19 were mistakenly printed in black and white in the January 2004 issue of Mo... more Figures 1, 2, 4 and 19 were mistakenly printed in black and white in the January 2004 issue of Modelling and Simulation in Materials Science and Engineering. The figures are correct in the pdf below.

Research paper thumbnail of Dislocation Structures In Particle-Reinforced Materials Under Monotonic and Non-Monotonic Loading

Research paper thumbnail of Plasticity in the 21st Century

Research paper thumbnail of Stress Concentration at the Surface of Fatigued Materials: A Discrete Dislocation Dynamics Study

Research paper thumbnail of Continuum models of large deformation plasticity. I: Large deformation plasticity and the concept of a natural reference state

European Journal of Mechanics - A/Solids

ABSTRACT

Research paper thumbnail of Dislocation interactions in thin films

Research paper thumbnail of STRESS CONCENTRATIONS CAUSED BY DISLOCATIONS AT THE FREE SURFACE

Research paper thumbnail of DISLOCATION STRUCTURES LEADING TO FATIGUE CRACK INITIATION, A DISCRETE DISLOCATION DYNAMICS APPROACH

Research paper thumbnail of Continuum models of large deformation plasticity, Part II: A kinematic hardening model and the concept of a plastically induced orientational structure

European Journal of Mechanics - A/Solids

ABSTRACT

Research paper thumbnail of Creep rupture in polycrystalline materials

Research paper thumbnail of Bending Maxwell’s rule

Research paper thumbnail of A constitutive theory for materials possessing a natural reference state

Research paper thumbnail of Models in nonlinear thermomechanics – Finite element models and constitutive models for large deformation plasticity

Research paper thumbnail of Advances in Applied Mechanics. Vol. 35. Subject and author cumulative index including tables of contents: Volumes 1–34

Research paper thumbnail of Discrete dislocation plasticity. Numerical simulation of dislocation dynamics

Research paper thumbnail of Introduction

Computer Methods in Applied Mechanics and Engineering

Research paper thumbnail of Dedication

Computer Methods in Applied Mechanics and Engineering

Research paper thumbnail of On network descriptions of mechanical and optical properties of rubbers

Research paper thumbnail of Incorporating three-dimensional mechanisms into two-dimensional dislocation dynamics

Modelling and Simulation in Materials Science and Engineering, 2004

Constitutive rules are developed to include three-dimensional dislocation mechanisms, such as lin... more Constitutive rules are developed to include three-dimensional dislocation mechanisms, such as line tension and dynamic junction formation, within a two-dimensional dislocation dynamics formulation. Some of the junctions that form dynamically can operate as Frank-Read sources. Boundary value problems are solved by using superposition to represent the solution in terms of the infinite medium fields for discrete dislocations and non-singular complementary fields that enforce the boundary conditions. This framework is used to analyse the plane strain tension of a single crystal. Calculations are carried out to strains of 3-8%, and the transition from stage I to II hardening is exhibited. The dependence of this transition and of the stage II hardening on constitutive parameters is explored. A variety of stress-strain responses are obtained and compared with available experimental results. The emergence of dislocation cells is seen and the structure of the cells is described.

Research paper thumbnail of Incorporating three-dimensional mechanisms into two-dimensional dislocation dynamics

Modelling and Simulation in Materials Science and Engineering, 2004

Research paper thumbnail of ERRATUM: Incorporating three-dimensional mechanisms into two-dimensional dislocation dynamics

Modelling and Simulation in Materials Science and Engineering, 2004

Figures 1, 2, 4 and 19 were mistakenly printed in black and white in the January 2004 issue of Mo... more Figures 1, 2, 4 and 19 were mistakenly printed in black and white in the January 2004 issue of Modelling and Simulation in Materials Science and Engineering. The figures are correct in the pdf below.

Research paper thumbnail of Dislocation Structures In Particle-Reinforced Materials Under Monotonic and Non-Monotonic Loading

Research paper thumbnail of Plasticity in the 21st Century

Research paper thumbnail of Stress Concentration at the Surface of Fatigued Materials: A Discrete Dislocation Dynamics Study

Research paper thumbnail of Continuum models of large deformation plasticity. I: Large deformation plasticity and the concept of a natural reference state

European Journal of Mechanics - A/Solids

ABSTRACT

Research paper thumbnail of Dislocation interactions in thin films

Research paper thumbnail of STRESS CONCENTRATIONS CAUSED BY DISLOCATIONS AT THE FREE SURFACE

Research paper thumbnail of DISLOCATION STRUCTURES LEADING TO FATIGUE CRACK INITIATION, A DISCRETE DISLOCATION DYNAMICS APPROACH

Research paper thumbnail of Continuum models of large deformation plasticity, Part II: A kinematic hardening model and the concept of a plastically induced orientational structure

European Journal of Mechanics - A/Solids

ABSTRACT

Research paper thumbnail of Creep rupture in polycrystalline materials

Research paper thumbnail of Bending Maxwell’s rule

Research paper thumbnail of A constitutive theory for materials possessing a natural reference state

Research paper thumbnail of Models in nonlinear thermomechanics – Finite element models and constitutive models for large deformation plasticity

Research paper thumbnail of Advances in Applied Mechanics. Vol. 35. Subject and author cumulative index including tables of contents: Volumes 1–34

Research paper thumbnail of Discrete dislocation plasticity. Numerical simulation of dislocation dynamics

Research paper thumbnail of Introduction

Computer Methods in Applied Mechanics and Engineering

Research paper thumbnail of Dedication

Computer Methods in Applied Mechanics and Engineering

Research paper thumbnail of On network descriptions of mechanical and optical properties of rubbers

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