This paper describes dual limit analysis formulations based on stabilized displacement and equilibrium meshfree models. Displacement and stress fields are approximated using moving least squares technique. A stabilized conforming nodal integration is applied, ensuring that the size of the resulting optimization problem is kept to a minimum, and that equilibrium only needs to be enforced at the nodes while numerical instability problems can be eliminated. The resulting optimizations are the cast in the form of a standard second order cone programming so that solutions can be obtained rapidly.
Keywords: limit analysis; mesh-free methods; stabilized displacement and equilibrium models; second order cone programming.