An energy-conserving scheme for dynamic crack growth with the extended finite element method - Archive ouverte HAL Access content directly
Journal Articles International Journal for Numerical Methods in Engineering Year : 2005

An energy-conserving scheme for dynamic crack growth with the extended finite element method

Abstract

This paper proposes a generalization of the eXtended finite element method (X‐FEM) to model dynamic fracture and time‐dependent problems from a more general point of view, and gives a proof of the stability of the numerical scheme in the linear case. First, we study the stability conditions of Newmark‐type schemes for problems with evolving discretizations. We prove that the proposed enrichment strategy satisfies these conditions and also ensures energy conservation. Using this approach, as the crack propagates, the enrichment can evolve with no occurrence of instability or uncontrolled energy transfer. Then, we present a technique based on Lagrangian conservation for the estimation of dynamic stress intensity factors for arbitrary 2D cracks. The results presented for several applications are accurate for stationary or moving cracks.
Fichier principal
Vignette du fichier
Rethore2005.pdf (266.73 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00373827 , version 1 (27-04-2021)

Licence

Attribution

Identifiers

Cite

Julien Réthoré, Anthony Gravouil, Alain Combescure. An energy-conserving scheme for dynamic crack growth with the extended finite element method. International Journal for Numerical Methods in Engineering, 2005, pp.631-659. ⟨10.1002/nme.1283⟩. ⟨hal-00373827⟩
66 View
105 Download

Altmetric

Share

Gmail Facebook X LinkedIn More