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The $$rs$$-method for material failure simulations. (English) Zbl 1159.74039
Summary: We present a new method for propagating arbitrary failure modes. Arbitrary failure modes are resolved on a refined local patch of elements, and then are embedded into the coarse grid using partition of unity method. Strong discontinuities are propagated by means of element erosion in the superimposed patch of elements only. The method, coined as the $$rs$$-version of the finite element method (or reduced order $$s$$-method), has been integrated in ABAQUS and verified on several test problems.

##### MSC:
 74S05 Finite element methods applied to problems in solid mechanics 74R10 Brittle fracture
##### Keywords:
crack propagation; element erosion; partition of unity
ABAQUS
Full Text:
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