<p>A novel explicit dual-mesh virtual element particle (DM-VEP) method is proposed, establishing a general numerical framework for three-dimensional extreme deformation problems. This method uniquely integrates a hybrid Lagrangian–Eulerian framework, wherein virtual elements and particles, treated as generalized Lagrangian elements, are seamlessly coupled via an Eulerian background grid. To further enhance the simulation of material fracture or fragmentation, an adaptive conversion method of virtual elements to particles is developed. A background grid-based contact method is introduced for multi-body contact problems. Numerical examples demonstrate the robustness and versatility of the proposed method across a range of complex scenarios. This research highlights the potential of DM-VEP method as a powerful tool for solving intricate engineering problems with extreme deformation.</p>