A Gurson Model Improved by Cohesive Traction-Separation Law to Realize Transition from Ductile to Brittle Fracture

• KAGIMURA Takuya

  Graduate School of Systems and Information Engineering, University of Tsukuba

• SHINTAKU Yuichi

  Department of Engineering information and Systems, University of Tsukuba

• TSUTSUMI Seiichiro

  Joining and Welding Research Institute, Osaka University

• TERADA Kenjiro

  International Research Institute of Disaster Science, Tohoku University

抄録

The objective of this study is to improve Gurson model by combining with cohesive traction-separation law to realize crack propagation associated with transition from ductile to brittle fracture. To embed the cohesive cracks into the Gurson model, five kinds of conditional equations are solved for the crack opening displacement and the plastic strain. One of the conditional equations correspond to the local balance equations between the cohesive tractions and the principal stresses and the others are the yield function, the isotropic hardening law, evolutional equation of void volume fraction and inequality constraint. The enhanced Gurson model allows us to represent the nucleation and propagation of the ductile crack along with the void nucleation and growth. Moreover, it is realized by the embedded cohesive traction-separation law that the stress rapidly drops down when the crack accelerates due to the transition from the ductile to brittle fracture. Throughout the numerical examples at several temperatures, it is confirmed that the proposed model enables us to realize load-displacement curves depending on temperature along with the ductile-brittle transition. Also, the proposed model has represented changes of crack propagation rate and void volume fraction by depending on temperature. Furthermore, the proposed model has capability of reproducing the crack propagation associated with the transition from the ductile to brittle fracture at -60 °C.

収録刊行物

• 溶接学会論文集

  溶接学会論文集 38 (2), 126s-130s, 2020

  一般社団法人 溶接学会

キーワード

• Ductile to Brittle Transition
• Gurson Model
• Cohesive Traction-Separation Law
• Nucleation and Propagation of Crack
• Cohesive-Traction Embedded Damage Model

詳細情報

• CRID: 1390568456341276416
• NII論文ID: 130007964171
• DOI: 10.2207/qjjws.38.126s
• ISSN: 24348252
• ISSN: 02884771
• Web Site: https://www.jstage.jst.go.jp/article/qjjws/38/2/38_126s/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可