A new peridynamic formulation with shear deformation for elastic solid Article Swipe

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Peridynamics Shear (geology) Materials science Brittleness Deformation (meteorology) Mechanics Simple shear Equivalence (formal languages) Finite strain theory Strain energy Structural engineering Physics Composite material Continuum mechanics Mathematics Finite element method Engineering Discrete mathematics

Huilong Ren , Xiaoying Zhuang , Timon Rabczuk ·

YOU? · · 2016 · Open Access · · DOI: https://doi.org/10.1142/s2424913016500090 · OA: W2505459983

We propose a new peridynamic formulation with shear deformation for linear elastic solid. The key idea lies in subtracting the rigid body rotation part from the total deformation. Based on the strain energy equivalence between classic local model and non-local model, the bond force vector is derived. A new damage rule of maximal deviatoric bond strain for elastic brittle fracture is proposed in order to account for both the tensile damage and shear damage. 2D and 3D numerical examples are tested to verify the accuracy of the current peridynamics. The new damage rule is applied to simulate the propagation of Mode I, II and III cracks.