Updated Lagrangian Taylor-SPH method for large deformation in dynamic problems

In this paper, the updated Lagrangian Taylor-SPH meshfree method is applied to the numerical analysis of large deformation and failure problems under dynamic conditions. The Taylor-SPH method is a meshfree collocation method developed by the authors over the past years. The governing equations, a set of first-order hyperbolic partial differential equations, are written in mixed form in terms of stress and velocity. This set of equations is first discretized in time by means of a Taylor series expansion in two steps and afterwards in space using a corrected form of the SPH method. Two sets of particles are used for the computation resulting on the elimination of the classical tensile instability. In the paper presented herein the authors propose an updated Lagrangian Taylor-SPH approach to address the large deformations of the solid, and therefore the continuous re-positioning of the particles.

Updated Lagrangian Taylor-SPH method for large deformation in dynamic problems Articles