Auxetic materials are an active research area with many potential applications. [1-8] There are many mechanisms/structures that have been developed to generate negative Poisson's ratio behaviors, including re-entrant structures, chiral structures, rotating rigid/semirigid units and angle-ply laminates. [7-15] These established mechanisms and the capacity of designing Poisson's ratio through controlled heterogeneity have opened up the possibility of developing material systems with targeted Poisson's ratios. The unique properties of auxetic structures lead to a wide range of applications, such as novel fasteners, biomedical applications, energy-absorbing devices, acoustic dampers, membrane filters with variable permeability, personal protective equipment, smart implant, actuators, and sensors. [12-16] These applications targeted require a detailed understanding of deformation of auxetic structures at both local cell level (beam bending, rotation, buckling, and contact) and macroscales (e.g., sample deformation) to balance the mechanical requirements as well as the functional properties. [17-27] In addition, the stability of Poisson's ratio and auxeticity under different loading modes and strain levels is also important. The deformation of porous materials under a compression load is more complex than simple uniaxial tension loading. The deformation of different auxetic structures under compression has been increasingly studied, [28-37] such as negative Poisson's convex-concave foams, [30] re-entrant unit cell, [31-34] disordered auxetic metamaterials, [35] cellular frameworks, [36] arrowhead structures, [29] and missing-rib (MR) auxetic structures. [29-37] Yang et al. [29] studied the behavior of auxetic structures under compression using both static model and dynamic finite-element (FE) modeling. The results show that auxetic materials could be effective in reducing the shock forces. The properties, such as stiffness, Poisson's ratio, and efficiency in shock absorption were found to be dependent on the structure and material combinations. Dong et al. [31] studied the compressive mechanical properties of the metallic auxetic re-entrant honeycomb. The work found that the modeling results were affected by the number of cells used in the FE model. Wang et al. [33] compared the characterization of composite 3D re-entrant auxetic cellular structures made from carbon fiber-reinforced polymer and single materials. The composite re-entrant auxetic structure showed the potential to significantly increase the specific stiffness of the structure. Remennikov et al. [34] studied the quasi-static compression and drop hammer impact tests of sandwich panel with re-entrant honeycomb design. The results suggest that sandwich panels with a re-entrant honeycomb core have a strong potential for enhancing the performance of lightweight impact-resistant protective systems. Apart from research on single mechanism structures, several works have been reported, exploring the use of mixed structures (MSs), which combined auxetic structures o...