On the Implementation of Novel Generalised Nonlinear Constraints in Explicit Finite Element Formulations

This work presents a novel technique for enforcing the beam-to-shell, beam-to-solid, and shell-to-solid family of constraints in explicit finite element formulations. The limitations of classical multipoint constraint approaches are examined at length, with robustness and accuracy examined through numerical examples. Novel formulation of the new constraint method is presented, and its implementation in the explicit finite element computational cycle discussed. The results of some illustrative test cases employing the newly proposed method are given, showing excellent accuracy even in the presence of large rotations. When compared to existing works, the salient features of the current method are in evidence.