Dislocation Density-Based Modeling of Crystal Plasticity Finite Element Analysis

  • Tetsuya Ohashi
Living reference work entry


Dislocations play a major role in plastic deformation and fracture of metallic materials. A number of metallographic aspects such as grain boundaries, precipitates, and others contribute to the dislocations’ behavior, and therefore, we have to consider their effects too when we intend to understand the mechanical behavior of metals with microstructure. Finite element method is a powerful tool to express the shape and arrangement of metal microstructures and analyze the deformation under a prescribed boundary and loading conditions. We tried to develop models for the movement, interaction, and accumulation of dislocations during plastic slip deformation in metal microstructure and implemented them to the framework of finite element method. Models originate from physics of discrete dislocations and are brought to dislocation density-based numerical models. In this chapter, the physical pictures and expressions of dislocation density-based models are shown. Some examples of analyses are also shown.



This work was partly supported by the Council for Science, Technology and Innovation (CSTI), Cross-ministerial Strategic Innovation Promotion Program (SIP), “Fundamentals for fatigue and fracture in structural metals” (funding agency: JST).


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© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Professor emeritusKitami Institute of TechnologyKitamiJapan

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