Strain Gradient Plasticity-Based Modeling of Damage and Fracture

  • Emilio Martínez Pañeda

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Numerical Framework

    1. Front Matter
      Pages 1-1
    2. Emilio Martínez Pañeda
      Pages 3-11
    3. Emilio Martínez Pañeda
      Pages 13-31
    4. Emilio Martínez Pañeda
      Pages 33-66
  3. Results

    1. Front Matter
      Pages 67-67
    2. Emilio Martínez Pañeda
      Pages 69-81
    3. Emilio Martínez Pañeda
      Pages 83-95
    4. Emilio Martínez Pañeda
      Pages 97-111
    5. Emilio Martínez Pañeda
      Pages 113-128
    6. Emilio Martínez Pañeda
      Pages 129-153
    7. Emilio Martínez Pañeda
      Pages 155-158
  4. Back Matter
    Pages 159-159

About this book


This book provides a comprehensive introduction to numerical modeling of size effects in metal plasticity. The main classes of strain gradient plasticity formulations are described and efficiently implemented in the context of the finite element method. A robust numerical framework is presented and employed to investigate the role of strain gradients on structural integrity assessment. The results obtained reveal the need of incorporating the influence on geometrically necessary dislocations in the modeling of various damage mechanisms. Large gradients of plastic strain increase dislocation density, promoting strain hardening and elevating crack tip stresses. This stress elevation is quantified under both infinitesimal and finite deformation theories, rationalizing the experimental observation of cleavage fracture in the presence of significant plastic flow. Gradient-enhanced modeling of crack growth resistance, hydrogen diffusion and environmentally assisted cracking highlighted the relevance of an appropriate characterization of the mechanical response at the small scales involved in crack tip deformation. Particularly promising predictions are attained in the field of hydrogen embrittlement. The research has been conducted at the Universities of Cambridge, Oviedo, Luxembourg, and the Technical University of Denmark, in a collaborative effort to understand, model and optimize the mechanical response of engineering materials. 


Strain Gradient Plasticity Crack Tip Mechanics Hydrogen Embrittlement Geometrically Necessary Dislocations (GNDs) Finite Element Analysis Gradient Plasticity Multi-scale Material Modeling Taylor Dislocation Model Material Length Scale Finite Deformation Theory Cohesive Zone Model Energetic And Dissipative Length Scales Extended Finite Element Method Hydrogen Assisted Cracking Stress-assisted Hydrogen Diffusion Continuum Modeling Corrosion Material Failure Mechanisms Computational Micromechanics

Authors and affiliations

  • Emilio Martínez Pañeda
    • 1
  1. 1.Department of Construction and Manufacturing EngineeringUniversity of OviedoGijónDenmark

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-63383-1
  • Online ISBN 978-3-319-63384-8
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site
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