Discretized peridynamics for brittle and ductile solids

作者：Liu Wenyang; Hong Jung Wuk^*

来源：International Journal for Numerical Methods in Engineering, 2012, 89(8): 1028-1046.

DOI：10.1002/nme.3278

• peridynamics
• nonlocal
• multiscale
• GPU computing

Peridynamics is a theory of continuum mechanics expressed in forms of integral equations rather than partial differential equations. In this paper, a peridynamics code is implemented using a graphics processing unit for highly parallel computation, and numerical studies are conducted to investigate the responses of brittle and ductile material models. Stressstrain behavior with different grid sizes and horizons is studied for a brittle material model. A comparison of stresses and strains between finite element analysis (FEA) and peridynamic solutions is performed for a ductile material. By applying the proposed procedure to bridge the material model defined for peridynamic bonds and the corresponding macroscale material model for FEA, peridynamics and FEA show good agreements as regards the stresses and strains.

• 出版日期2012-2-24