Structural Engineering and Mechanics

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Ductile fracture simulation using phase field approach under higher order regime

  • Nitin Khandelwal (CSIR-Structural Engineering Research Centre) ;
  • Ramachandra A. Murthy (CSIR-Structural Engineering Research Centre)
  • Received : 2023.10.27
  • Accepted : 2024.01.09
  • Published : 2024.01.25
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Abstract

The loading capacity of engineering structures/components reduces after the initiation and propagation of crack eventually leads to the final failure. Hence, it becomes essential to deal with the crack and its effects at the design and simulation stages itself, by detecting the prone area of the fracture. The phase-field (PF) method has been accepted widely in simulating fracture problems in complex geometries. However, most of the PF methods are formulated with second order continuity theoryinvolving C0 continuity. In the present study, PF method based on fourth-order (i.e., higher order) theory, maintaining C1 continuity has been proposed for ductile fracture simulation. The formulation includes fourth-order derivative terms of phase field variable, varying between 0 and 1. Applications of fourth-order PF theory to ductile fracture simulation resulted in novelty in this area. The proposed formulation is numerically solved using a two-dimensional finite element (FE) framework in 3-layered manner system. The solutions thus obtained from the proposed fourth order theory for different benchmark problems portray the improvement in the accuracy of the numerical results and are well matched with experimental results available in the literature. These results are also compared with second-order PF theory and a comparison study demonstrated the robustness of the proposed model in capturing ductile behaviour close to experimental observations.

Keywords

Acknowledgement

This paper has been assigned the registration number CSIR-SERC-1043/2023. Authors would like to thanks CSIR-SERC for providing their continuous support for the research. Authors are also grateful to the CSIR, New Delhi, who funded the generous grant for research work.

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