Abstract: In this paper we present a unique procedure for extending the method of Smoothed Particle Hydrodynamics (SPH) to allow for the simulation of permanently deformable soft-solid materials. SPH has previously been shown to be a computationally and visually effective method for fluid dynamics simulations and recently for modelling the deformation of elastic soft solids. By incorporating new parameters into the procedure, the current research is able to demonstrate a range of visually appealing plasticity and damage scenarios. As SPH is a mesh-free Lagrangian method, data can be manipulated to allow for parallelisation using nVidia's CUDA platform, as is shown here where simulations are capable of performing at real-time rates.