The extended finite element method in thermoelastic fracture mechanics

Marc Duflot

doi:10.1002/nme.2197

journal article Sep 25, 2007

The extended finite element method in thermoelastic fracture mechanics

Marc Duflot

International Journal for Numerical Methods in Engineering Vol. 74 No. 5 pp. 827-847 · Wiley

View at Publisher Save 10.1002/nme.2197

Abstract

AbstractThe extended finite element method (XFEM) is applied to the simulation of thermally stressed, cracked solids. Both thermal and mechanical fields are enriched in the XFEM way in order to represent discontinuous temperature, heat flux, displacement, and traction across the crack surface, as well as singular heat flux and stress at the crack front. Consequently, the cracked thermomechanical problem may be solved on a mesh that is independent of the crack. Either adiabatic or isothermal condition is considered on the crack surface. In the second case, the temperature field is enriched such that it is continuous across the crack but with a discontinuous derivative and the temperature is enforced to the prescribed value by a penalty method. The stress intensity factors are extracted from the XFEM solution by an interaction integral in domain form with no crack face integration. The method is illustrated on several numerical examples (including a curvilinear crack, a propagating crack, and a three‐dimensional crack) and is compared with existing solutions. Copyright © 2007 John Wiley & Sons, Ltd.

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215

Citations

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References

Details

Published: Sep 25, 2007
Vol/Issue: 74(5)
Pages: 827-847
License: View

Authors

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Marc Duflot

Cite This Article

Marc Duflot (2007). The extended finite element method in thermoelastic fracture mechanics. International Journal for Numerical Methods in Engineering, 74(5), 827-847. https://doi.org/10.1002/nme.2197

The extended finite element method in thermoelastic fracture mechanics

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