Harmonic XFEM Simulation of 3-D Cracks

  • Saurabh Kumar YadavEmail author
  • Nathi Ram
  • I. V. Singh
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 757)


Fracture mechanics is widely used nowadays to study and analyze the failure of components/structures. Several failures in structures are related to fracture mechanics. When failure due to fracture occurs, they are mostly unpredicted, quick, and disastrous in nature. Therefore, it becomes necessary for us to pay attention to minimize the failure when designing and analyzing modern-day structures. The stress intensity factors are extracted from the HXFEM solution by volume-based interaction integral approach using the curvilinear coordinate system and are compared against the standard XFEM and the analytical result available in the literature. In this volume-based interaction integral approach, the volume is virtually extended and integrated by applying Gauss divergence theorem. The numerical results are obtained for edge and penny crack problems.


FEM XFEM Enrichment functions Fracture mechanics 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringInstitute of Infrastructure Technology Research and ManagementAhmedabadIndia
  2. 2.Department of Mechanical & Automation EngineeringIndira Gandhi Delhi Technical University for WomenNew DelhiIndia
  3. 3.Department of Mechanical EngineeringIndian Institute of Technology RoorkeeRoorkeeIndia

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