A lattice model with a progressive damage applied to fracture problems of wood

Abstract

In this study, we have implemented the first lattice model that incorporates progressive material damage, taking into account ductile failure under compression and brittle failure under tension. The model also considers fracture energy within the constitutive model by incorporating progressive material degradation, where damage variables depend on the fracture energy of the material. In addition, the lattice fracture criterion includes a typical failure criterion for wood and assumes a coefficient of variation in elastic constants and strengths to account for the heterogeneity of wood. The lattice model relies on axial springs, with their mechanical properties explicitly calculated based on the wood’s macroscopic mechanical properties. The model’s capability is evidenced by simulating two fracture tests and comparing the results with previously presented numerical and experimental data. The observed results align well with experimental observations.