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Weak Form of Peridynamics

  • Erdogan Madenci
  • Atila Barut
  • Mehmet Dorduncu
Chapter

Abstract

This chapter presents the weak form of the peridynamic (PD) governing field equations. They specifically concern the Poisson’s equation and Navier’s equation under in-plane loading conditions. Their weak forms derived based on the variational approach enable the direct imposition of nonlocal essential and natural boundary conditions. The numerical solution to these equations can be achieved by considering either a uniform or a nonuniform discretization.

References

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  3. Zohdi TI (2013) Numerical simulation of the impact and deposition of charged particulate droplets. Journal of Computational Physics 233:509–526.MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Erdogan Madenci
    • 1
  • Atila Barut
    • 1
  • Mehmet Dorduncu
    • 1
  1. 1.Aerospace and Mechanical Engineering DepartmentUniversity of ArizonaTucsonUSA

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