Journal
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
Volume 237, Issue 12, Pages 2877-2886Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/09544062221140342
Keywords
Peridynamics; mixed boundary condition; elasticity; brittle failure; displacement potential approach
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In this article, a procedure that combines analytic investigation and numerical simulation is presented to capture the elastic field in the mixed boundary condition. The validation of the peridynamic model is conducted through a numerical uniaxial tensile test and compared with analytic solutions.
Although peridynamics is widely used to investigate mechanical responses in materials, the ability of peridynamics to capture the main features of realistic stress states remains unknown. Here, we present a procedure that combines analytic investigation and numerical simulation to capture the elastic field in the mixed boundary condition. By using the displacement potential function, the mixed boundary condition elasticity problem is reduced to a single partial differential equation which can be analytically solved through Fourier analysis. To validate the peridynamic model, we conduct a numerical uniaxial tensile test using peridynamics, which is further compared with the analytic solution through a convergence study. We find that, when the parameters are carefully calibrated, the numerical predicted stress distribution agrees very well with the one obtained from the theoretical calculation.
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