Peridynamic Theory and Its Applications

By Erdogan Madenci, Erkan Oterkus. 2013

827 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, General Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/20b027bd3f2bbe10434e8f0adc5a12e837a9b3d4

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In Civil and Structural Engineering

In General Engineering

In Mechanics of Materials

Citations in the corpus

Peridynamics for bending of beams and plates with transverse shear deformation (2015, neutral): “…critical curvature as 2 ( ) ( ) ( ) ( ) 1 1 1 2 K J b c j k k j k j Ic c V V G A x x (39) Based on the expression derived by Silling and Askari (2005) and Madenci and Oterkus (2013) for the critical energy release rate, it is evident that 4( ) ( ) ( ) ( ) 1 1 2 K J j k k j…”
Surface corrections for peridynamic models in elasticity and fracture (2017, methodology): “To do so, the layer of fictitious nodes must be of thickness at least equal to one-horizon size around the original PD system (see [12,44,46]).”
Dual-horizon peridynamics: A stable solution to varying horizons (2017, methodology): “For brevity, the surface correction method [39] or fictitious boundary [40] are not employed.”
Implementation of peridynamic beam and plate formulations in finite element framework (2018, methodology): “Although there are currently different techniques available in the literature, in this study, the displacement and rotation boundary conditions are applied by introducing a fictitious layer with a thickness equivalent to the size of horizon [22].”
A morphing approach to couple state-based peridynamics with classical continuum mechanics (2016, background): “The principle of virtual work for peridynamics has been treated in the references [15, 24].”
A non-ordinary state-based peridynamics formulation for thermoplastic fracture (2016, background): “3 the approximation of the integration over the volume of the horizon size constructed for a material point xi, can be improved as [17],”
Ordinary state-based peridynamics for plastic deformation according to von Mises yield criteria with isotropic hardening (2016, methodology): “The correction factor can be calculated by considering simple loading conditions as suggested by Madenci and Oterkus (2014).”