Pablo Seleson*, David Littlewood
*Oak Ridge National Laboratory,
Sandia National Laboratories

Convergence Studies of Meshfree Peridynamic Simulations

The peridynamics theory of solid mechanics is a nonlocal reformulation of the classical continuum mechanics theory, suitable for material failure and damage simulation. A meshfree approach for the discretization of governing equations is the most widely discretization method used in peridynamics to date, due to its implementation simplicity and relatively low computational cost. This approach exhibits, however, accuracy and convergence issues in numerical solutions of peridynamic problems. In this talk, we will discuss those issues and present improvements in the accuracy and convergence of numerical solutions of meshfree peridynamic simulations, through the use of enhanced quadratures and smoothly decaying influence functions.
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