217 Meshless Methods for Modelling Damage, Fracture and Fragmentations

Raj Das, RMIT University
Many solid deformation processes, such as dynamic brittle fracture and severe plastic flows, involve discontinuous large scale deformations. These processes play important roles in a variety of applications, such as aircraft components (resistance against hypervelocity impact), manufacturing technologies (e.g. forging, extrusion), high-speed weapons systems (e.g. missiles, torpedoes etc.), and bio-medical coatings (delamination failure). Numerical modelling can play crucial roles in understanding and predicting these complex deformation and fracture processes. Commonly used mesh-based Finite Element methods have difficulties in modelling high deformation and disintegration associated with fracturing, as this often distorts the mesh and needs careful remeshing. For these applications, meshless methods offer several major advantages. Use of particles with no prescribed mesh or grid structure allows high deformations and discontinuities to be easily dealt with.
A range of meshless methods, incorporating plasticity and damage models, such as those required for high speed impacts and severe plastic deformations will be incorporated in this symposium. These include several fracture and fragmentation phenomena and the associated models, ranging from hypervelocity impact fracture to large scale geo-mechanical failures. The strengths of meshless methods for computational modelling of damage and fracture problems will be illustrated with reference to several popular meshless methods, for example, Smoothed particle hydrodynamics (SPH), Diffuse element method (DEM), Dissipative particle dynamics (DPD), Element-free Galerkin method (EFG / EFGM), Reproducing kernel particle method (RKPM), Finite point method (FPM), and Finite pointset method (FPM). It will be shown that the meshless methods can play a major role in gaining fundamental insights of complex failure mechanisms in many applications.