13th International Conference on Fracture June 16–21, 2013, Beijing, China -3- (a) (b) Figure 2. Sketches of the metallic corrugated sandwich plates with sinusoidal plate core. (a) Topology of the sandwich plate, and (b) a quarter of unit cell for the sandwich plate 3. Analytical solutions for the dynamic response of asymmetric sandwich plates In this section, employing the similar procedure to the plastic-string model [15] for the dynamic response of symmetric sandwich plates, the analytical solutions for dynamic response of the fully clamped asymmetric sandwich plates under the impulsive loading I are obtained shown in Fig. 1. It is assumed that the top and bottom face sheets obey the rigid-perfectly plastic law with the yield strength Yσ , and the metal sandwich core is modeled as a rigid-perfectly-plastic-locking (r-p-p-l) material with a plateau-stress level of nYσ and a critical densification strain Dε . The phase of core compression is the same as that for dynamic response of symmetric sandwich beam [4]. It is assumed that the longitudinal plastic membrane force pN is insensitive to the degree of the core compression [4], and then obtained ( ) p p Y t b lY c N N b h h bH σ σ ′ = = + + (1) where b is the length in x direction, Yσ is the yield strength of face sheet material, and lYσ is the longitudinal compressive strength of core.
RkJQdWJsaXNoZXIy MjM0NDE=