This report presents numerical results obtained through MATLAB simulations aiming at characterising the singularity of the stresses at a crack tip in a sparse, regular, linear elastic structure. The simulation algorithm is explained and validated by the recovery of the square-root singularity predicted by the LEFM theory for some lattices that can be seen as discrete models of a linear elastic isotropic material. Deviations from this theory are noted for more complex lattices
Jean-François Molinari, Antonio Joaquin Garcia Suarez, Sacha Zenon Wattel
Mark Pauly, Florin Isvoranu, Francis Julian Panetta, Uday Kusupati, Seiichi Eduardo Suzuki Erazo, Yingying Ren
Nicola Marzari, Tommaso Chiarotti, Giuliana Materzanini