An enhanced coupling of PD grids to FE meshes

Abstract The paper presents a new and simple way to couple FEM meshes to Peridynamic grids with different grid sizes. The excellent performance of the coupling technique is illustrated by means of 2D examples involving rigid body motions, uniform strain conditions and a case of crack branching. The method paves the way to an increased use of peridynamics within FEM software.

[1]  Philippe H. Geubelle,et al.  Handbook of Peridynamic Modeling , 2017 .

[2]  J. Z. Zhu,et al.  The finite element method , 1977 .

[3]  S. Silling,et al.  Peridynamics via finite element analysis , 2007 .

[4]  Erdogan Madenci,et al.  Coupling of peridynamic theory and the finite element method , 2010 .

[5]  S. Silling,et al.  Convergence, adaptive refinement, and scaling in 1D peridynamics , 2009 .

[6]  Gilles Lubineau,et al.  Adaptive coupling between damage mechanics and peridynamics: A route for objective simulation of material degradation up to complete failure , 2016 .

[7]  Mirco Zaccariotto,et al.  A coupled meshless finite point/Peridynamic method for 2D dynamic fracture analysis , 2016 .

[8]  R. Lehoucq,et al.  Convergence of Peridynamics to Classical Elasticity Theory , 2008 .

[9]  F. Bobaru,et al.  Studies of dynamic crack propagation and crack branching with peridynamics , 2010 .

[10]  Jooeun Lee,et al.  Impact fracture analysis enhanced by contact of peridynamic and finite element formulations , 2016 .

[11]  Guanfeng Zhang,et al.  Why do cracks branch? A peridynamic investigation of dynamic brittle fracture , 2015, International Journal of Fracture.

[12]  Christian Rey,et al.  A morphing strategy to couple non-local to local continuum mechanics , 2012 .

[13]  Jung-Wuk Hong,et al.  A coupling approach of discretized peridynamics with finite element method , 2012 .

[14]  David John Littlewood,et al.  Variable Horizon in a Peridynamic Medium , 2015 .

[15]  E. Hairer,et al.  Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations , 2004 .

[16]  Mirco Zaccariotto,et al.  An effective way to couple FEM meshes and Peridynamics grids for the solution of static equilibrium problems , 2016 .

[17]  Stephen D. Bond,et al.  Strong Local-Nonlocal Coupling for Integrated Fracture Modeling , 2015 .

[18]  Fei Han,et al.  The morphing method as a flexible tool for adaptive local/non-local simulation of static fracture , 2014 .

[19]  F. Bobaru,et al.  Characteristics of dynamic brittle fracture captured with peridynamics , 2011 .

[20]  Serge Prudhomme,et al.  A force-based coupling scheme for peridynamics and classical elasticity , 2013 .