A two-dimensional non-ordinary state-based peridynamic model based on three-body potential for elastic brittle fracture analysis
Source abstract
Abstract
Two-dimensional non-ordinary state-based peridynamics (PD) model based on three-body interaction potential is developed. Meanwhile, its mathematical expression in bond shear form is also derived under small deformation conditions, which reveals the ability of bond vector considering three-body potential on resisting transverse loadings. A uniaxial tensile plate example is used to demonstrate the robust ability of the proposed numerical method on eliminating Poisson’s ratio limitation. Combined with micro-potential based failure criterion, the PD model is used to simulate elastic brittle fracture behaviors for typical concrete like material specimens, including mixed mode (mode I + mode II) type fracture and crack dynamic branching cases. The simulation results coincide well with the experimental and other numerical results published previously.
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Research context
OpenAlex topics: Numerical methods in engineering · Geotechnical Engineering and Underground Structures · Rock Mechanics and Modeling
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