Zeyuan Zhou¹, Ming Yu¹, Zaixing Huang^1,*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.4, pp. 1-1, 2023, DOI:10.32604/icces.2023.09135

Abstract Peridynamics (PD) is a reformulation of the classical continuum mechanics. Its core consists in that a weighted integral of relative displacement over a spatial domain is used instead of the spatial derivative of displacement in governing equations of deformation. Based on an improved technique of exerting traction on boundary surface, an improved peridynamic motion equation has been proposed within the framework of the peridynamic(PD) theory. It is more natural and easier to deal with boundary conditions for the elastic deformation and fracture analysis. Under the enhancement effect in the constructed transfer functions of boundary traction,… More >

Ming Yu¹, Zeyuan Zhou¹, Zaixing Huang^1,*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.25, No.4, pp. 1-1, 2023, DOI:10.32604/icces.2023.09264

Abstract How to well characterize traction boundary condition is always a difficult problem in peridynamics. In order to solve this problem, an integral term of boundary traction weighted by a tensor-typical transfer function is added to the original peridynamic motion equation, to form the so-called the traction-associated peridynamic motion equation. The traction-associated peridynamic motion equation is proved to be compatible with the conservation laws of linear and angular momentum. The conservation law of energy is also verified to have the same form as the original peridynamics advanced by Silling. Therefore, the constitutive models in the original… More >