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Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition. (English) Zbl 1090.74698

Summary: A mesh-free Galerkin simulation of dynamic shear band propagation in an impact-loaded pre-notched plate is carried out in both two and three dimensions. The related experimental work was initially reported by Kalthoff and Winkler (1987), and later re-examined by Zhou and Zhou, and others.
The main contributions of this numerical simulation are as follows: (1) The ductile-to-brittle failure mode transition is observed in numerical simulations for the first time; (2) the experimentally observed dynamic shear band, whose character changes with an increase of impact velocity, propagating along curved paths is replicated; (3) the simulation is able to capture the details of the adiabatic shear band to a point where the periodic temperature profile inside shear band at \(\mu\)m scale can clearly be seen; (4) an intense, high-strain rate region is observed in front of the shear band tip, which, we believe, is caused by wave trapping at the shear band tip; it in turn causes damage and stress collapse inside the shear band and provides a key link for self-sustained instability.

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74R15 High-velocity fracture
74M20 Impact in solid mechanics
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