## 1 Introduction  
Composite structures consisting of tough metals and brittle ceramics with rational spatial distribution configurations can be manufactured to generate inaccessible properties that single-phase constituent material cannot provide. [PERSON] first proposed metal-ceramic composite armor and conducted a series of ballistic studies [1]. Afterward, various types of novel metal-ceramic composites were proposed for advanced ballistic protection structure applications, including sandwich structure [2, 3], functionally graded structure [4, 5], and lateral restraint structure [6]. These novel composites show better ballistic performances than single metal or ceramic constituent materials separately.  
Additive manufacturing enables the fabrication of industrial components with complex, intricate geometrical structures. With the development of novel mechanical design schemes and the progress of advanced manufacturing techniques, more and more periodically, mode arranged porous lattices filled with ceramics have been studied [7, 8]. [PERSON] et al. [9] studied the synergistic enhancing effects of hybrid structures consisting of ductile metals and infilled brittle ceramics under dynamic projectile penetration loading conditions. It was found that infilled ceramics in the metal lattice can attenuate shear band failure mode and proposed a novel design of hybrid lattice structure consisting of triangular metal lattice and built-in ceramics [10]. The compressive strength and energy absorption [11], bending stiffness and strength [12], and impact response [13] of this novel hybrid metal-ceramic lattice were studied systematically. [PERSON] et al. [14] designed a novel hybrid lattice consisting of a quadrilateral metal lattice and infilled ceramics and analyzed the relation between energy absorption performance indicators and spatial distributions of infilled ceramic constituent materials. Similarly, the penetration resistance of hybrid materials with orthogonal ceramic prisms [15; 16] was also studied. Recently, researchers also studied other types of hybrid structures consisting of infilled ceramics and metal lattice frames, such as pyramid lattice [17; 18], hexagonal honeycomb lattice [19], and derivative honeycombs [20]. Meanwhile, researchers also performed various types of experimental [21], numerical [22; 23], fabrication process [24; 25], and theoretical studies [26; 27] on the design, and performance evaluation of metal-ceramic lattices for dynamic impact resistance applications.  
In this paper, the cooperative design of strength and toughness of a novel ceramic-metal hybrid metal lattice structure based on a structural hybrid of an auxetic metal lattice and the infilled ceramic matrix is performed. The deformation and failure processes are analyzed through finite element analysis, and digital image correlation (DIC) characterization of experimental results is also performed for comparisons. It is found that the ceramic-metal hybrid metal lattice structure based on the auxetic frame can improve the quasi-static mechanical properties of conventional ceramic-metal hybrid honeycomb structures. Moreover, when the ceramic matrix-filled auxetic metal lattice structures are subjected to external dynamic impact loading, the compressive and ballistic resistances of ceramic-filled hybrid lattice structures will be significantly improved.