ABSTRACT

In practical applications, verification and validation are important aspects of peridynamic modeling and simulations. It is clear that one objective of peridynamic modeling and simulation is to provide an alternative to conventional continuum mechanical models represented by partial differential equations when the latter can neither capture the underlying physics nor have meaningful mathematical solutions due to the presence of the singularities. Yet, as a popular benchmark test, it has been a common practice to reproduce solutions of peridynamic models that are consistent with classical continuum models for the same given data when the latter are physically valid and mathematically well defined.