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METHOD: Global Energy Minimisation

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Academic year: 2021

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In our approach, we investigate multiple fracture evolution under quasi-static conditions based on the principle of minimum potential energy to help circumvent the aforementioned difficulties. It is found the converged fracture path lies in between the fracture paths obtained by each criterion for coarser meshes. This presents an opportunity to estimate an upper and lower bound of the true fracture path as well as an error on the crack path.

Double cantilever

problem

MOTIVATION and FOCUS

Global Energy Minimization for Multi-Crack Growth in Linear Elastic

Fracture Using the Extended Finite Element Method

Danas Sutula, Stephane P.A. Bordas, Pierre Kerfriden

RESULTS: fracture path comparison by criteria

(max-hoop VS. energy min. VS. mixed criterion)

Institute of Mechanics and Advanced Materials

singular tip enrichment discontinuous enrichment standard part Enriched nodes - “Heaviside” - ”crack tip” Updated directions:

METHOD: Discretisation Using XFEM

METHOD: Global Energy Minimisation

APPLICATION: Si-wafer post-split roughness

F

F

Plate with two holes in mode-I loading

Plate with two edge

cracks in mode-I

loading

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