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Mesh-free simulations of shear banding in large deformation. (English) Zbl 0995.74082
Summary: We apply the mesh-free approximation to numerical simulation of strain localization under large deformation. An explicit displacement-based mesh-free formulation is used in both two-dimensional and three-dimensional computations. The spatial isotropy of mesh-free interpolant is demonstrated through an numerical example which shows that mesh-free methods possess certain “mesh objectivity” that alleviates the notorious mesh-alignment sensitivity associated with numerical simulation of strain localization. It is also demonstrated that mesh-free interpolants can accurately capture finite shear deformation under large mesh distortion without recourse to special mesh design and remeshing. Moreover, curved shear band surface and multiple shear band interactions are captured in numerical simulations.

74S30 Other numerical methods in solid mechanics (MSC2010)
74R20 Anelastic fracture and damage
74C20 Large-strain, rate-dependent theories of plasticity
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