TY - JOUR JF - Computational Materials Science IS - 5 Y1 - 2011/// SP - 1625 A1 - Paggi, Marco A1 - Wriggers, Peter PB - Elsevier VL - 50 UR - http://www.sciencedirect.com/science/article/pii/S0927025610006956 TI - A nonlocal cohesive zone model for finite thickness interfaces ? Part I: Mathematical formulation and validation with molecular dynamics AV - none KW - Nonlocal cohesive zone model; Damage mechanics; Nonlinear fracture mechanics; Finite thickness interfaces; Molecular dynamics; Multiscale approach N2 - A nonlocal cohesive zone model is derived taking into account the properties of finite thickness interfaces. The functional expression of the stress?separation relationship, which bridges the gap between continuum damage mechanics and nonlinear fracture mechanics, depends on the complex failure phenomena affecting the material microstructure of the interface region. More specifically, the shape of the nonlocal cohesive zone model is found to be dependent on the damage evolution. On the other hand, damage is in its turn a function of dissipative mechanisms occurring at lower length scales, such as dislocation motion, breaking of interatomic bonds, formation of free surfaces and microvoids, that are usually analyzed according to molecular dynamics. Hence, the relationship intercurring between the parameters of the damage law and the outcome of molecular dynamics simulations available in the literature is also established. Therefore, the proposed nonlocal cohesive zone model provides also the proper mathematical framework for interpreting molecular dynamics-based stress?separation relationships that are typically nonlocal, since they always refer to a finite number of atom layers. SN - 0927-0256 EP - 1633 ID - eprints1995 ER -