Linked e-resources
Details
Table of Contents
Supervisor's Foreword; PublicationsParts of this thesis have been published in the following articles:Martínez-Pañeda, E., Natarajan, S., Bordas, S., 2016. Gradient plasticity crack tip characterization by means of the extended finite element method. Computational Mechanics 59, 831-842.Martínez-Pañeda, E., Niordson, C.F., Gangloff, R.P., 2016. Strain gradient plasticity-based modeling of hydrogen environment assisted cracking. Acta Materialia 117, 321-332.Martínez-Pañeda, E., Niordson, C.F., Bardella, L., 2016. A fini; Acknowledgements; Contents; Acronyms; Part I Numerical Framework
1 Introduction1.1 Background; 1.2 Objectives; 1.3 Thesis Outline; References; 2 Gradient Plasticity Formulations; 2.1 Mechanism-Based Gradient Plasticity; 2.2 Fleck-Hutchinson 2001 Theory; 2.2.1 Infinitesimal Deformation Framework; 2.2.2 Finite Deformation Framework; 2.3 Advanced Gradient Plasticity Theories; 2.3.1 Principle of Virtual Work and Governing Equations; 2.3.2 Thermodynamically Consistent Constitutive Equations; 2.4 Distortion Gradient Plasticity; 2.4.1 Variational Principles and Balance Equations; 2.4.2 Energetic Contributions; 2.4.3 Dissipative Contributions; References
3 Numerical Implementation3.1 CMSG Plasticity: FEM and X-FEM; 3.1.1 Finite Element Implementation; 3.1.2 A Novel X-FEM Scheme; 3.2 Phenomenological Higher Order SGP; 3.2.1 Numerical Method; 3.2.2 Verification; 3.3 Numerical Modeling of Energetic and Dissipative Size Effects; 3.3.1 Minimum Principles; 3.3.2 Numerical Implementation; 3.3.3 Verification; 3.4 A Finite Element Basis for DGP; 3.4.1 Minimum Principles; 3.4.2 Numerical Formulation and Solution Procedure; 3.4.3 Verification; References; Part II Results; 4 Mechanism-Based Crack Tip Characterization; 4.1 Introduction
4.2 Crack Tip Fields with Infinitesimal Strains4.3 Crack Tip Fields with Finite Strains; 4.4 Discussion; 4.5 Conclusions; References; 5 On Fracture in Finite Strain Gradient Plasticity; 5.1 Introduction; 5.2 Numerical Results; 5.2.1 Infinitesimal Deformation Theory; 5.2.2 Finite Deformation Theory; 5.3 Conclusions; References; 6 The Role of Energetic and Dissipative Length Parameters; 6.1 Introduction; 6.2 Stationary Crack Tip Fields; 6.3 Steady-State Crack Growth and Work of Fracture; 6.4 Conclusions; References; 7 Hydrogen Diffusion Towards the Fracture Process Zone; 7.1 Introduction
7.2 Numerical Framework7.3 Finite Element Results; 7.3.1 Hydrogen Transport in Impure Iron; 7.3.2 Crack Tip Blunting and Hydrogen Distribution in Duplex Stainless Steel; 7.3.3 Crack Tip Hydrogen Concentration in X80 Pipeline Steel; 7.4 The Role of Hydrogen Trapping; 7.5 Conclusions; References; 8 SGP-Based Modeling of HEAC; 8.1 Introduction; 8.2 Objective; 8.3 Experimental Procedure; 8.4 Modeling Procedure; 8.4.1 Hydrogen Assisted-Cracking Modeling; 8.4.2 Strain Gradient Plasticity Modeling; 8.5 Results; 8.5.1 Monel K-500; 8.5.2 AerMetTM100 and FerriumTMM54; 8.6 Discussion
1 Introduction1.1 Background; 1.2 Objectives; 1.3 Thesis Outline; References; 2 Gradient Plasticity Formulations; 2.1 Mechanism-Based Gradient Plasticity; 2.2 Fleck-Hutchinson 2001 Theory; 2.2.1 Infinitesimal Deformation Framework; 2.2.2 Finite Deformation Framework; 2.3 Advanced Gradient Plasticity Theories; 2.3.1 Principle of Virtual Work and Governing Equations; 2.3.2 Thermodynamically Consistent Constitutive Equations; 2.4 Distortion Gradient Plasticity; 2.4.1 Variational Principles and Balance Equations; 2.4.2 Energetic Contributions; 2.4.3 Dissipative Contributions; References
3 Numerical Implementation3.1 CMSG Plasticity: FEM and X-FEM; 3.1.1 Finite Element Implementation; 3.1.2 A Novel X-FEM Scheme; 3.2 Phenomenological Higher Order SGP; 3.2.1 Numerical Method; 3.2.2 Verification; 3.3 Numerical Modeling of Energetic and Dissipative Size Effects; 3.3.1 Minimum Principles; 3.3.2 Numerical Implementation; 3.3.3 Verification; 3.4 A Finite Element Basis for DGP; 3.4.1 Minimum Principles; 3.4.2 Numerical Formulation and Solution Procedure; 3.4.3 Verification; References; Part II Results; 4 Mechanism-Based Crack Tip Characterization; 4.1 Introduction
4.2 Crack Tip Fields with Infinitesimal Strains4.3 Crack Tip Fields with Finite Strains; 4.4 Discussion; 4.5 Conclusions; References; 5 On Fracture in Finite Strain Gradient Plasticity; 5.1 Introduction; 5.2 Numerical Results; 5.2.1 Infinitesimal Deformation Theory; 5.2.2 Finite Deformation Theory; 5.3 Conclusions; References; 6 The Role of Energetic and Dissipative Length Parameters; 6.1 Introduction; 6.2 Stationary Crack Tip Fields; 6.3 Steady-State Crack Growth and Work of Fracture; 6.4 Conclusions; References; 7 Hydrogen Diffusion Towards the Fracture Process Zone; 7.1 Introduction
7.2 Numerical Framework7.3 Finite Element Results; 7.3.1 Hydrogen Transport in Impure Iron; 7.3.2 Crack Tip Blunting and Hydrogen Distribution in Duplex Stainless Steel; 7.3.3 Crack Tip Hydrogen Concentration in X80 Pipeline Steel; 7.4 The Role of Hydrogen Trapping; 7.5 Conclusions; References; 8 SGP-Based Modeling of HEAC; 8.1 Introduction; 8.2 Objective; 8.3 Experimental Procedure; 8.4 Modeling Procedure; 8.4.1 Hydrogen Assisted-Cracking Modeling; 8.4.2 Strain Gradient Plasticity Modeling; 8.5 Results; 8.5.1 Monel K-500; 8.5.2 AerMetTM100 and FerriumTMM54; 8.6 Discussion