Two dimensional modeling of elastic wave propagation in solids containing cracks with rough surfaces and friction – Part I: Theoretical background

摘要

Highlights?We present a 2D model for wave propagation in samples with internal contacts.?The crack model considers roughness, friction, memory dependence and hysteresis.?Three contact states can be described: contact loss, total sliding and partial slip.?Sliding is described by Coulomb’s friction law or the Method of Memory Diagrams.?The full crack model algorithm is illustrated by means of a numerical example.AbstractOur study aims at the creation of a numerical toolbox that describes wave propagation in samples containing internal contacts (e.g. cracks, delaminations, debondings, imperfect intergranular joints) of known geometry with postulated contact interaction laws including friction. The code consists of two entities: the contact model and the solid mechanics module. Part I of the paper concerns the modeling