13th International Conference on Fracture June 16–21, 2013, Beijing, China -1- Optimal Design of Metallic Corrugated Sandwich Plates to Blast Loading Jianxun Zhang1, Qinghua Qin1,*, Weilong Ai1, Tao Wang1, 2, Tiejun Wang1,* 1 State Key Laboratory for Strength and Vibration of Mechanical Structures, Department of Engineering Mechanics, Xi’an Jiaotong University, Xi’an 710049, China 2 Department of Engineering Physics, Xi’an Research Institute of High-Tech., Xi’an 710025, China * Corresponding author: qhqin@mail.xjtu.edu.cn; wangtj@mail.xjtu.edu.cn Abstract Optimal designs of the resistance of metallic corrugated sandwich plates under blast loading are studied numerically and analytically. The dynamic response of metallic sandwich plates under blast loading is numerically analyzed. Comparisons among the corrugated sandwich plates made of the same material and equivalent weight are conducted. The study of weight optimization is carried out, such as the relative core density, core height, the ratio of core height to half-length of the unit, and the thickness ratio of the top face sheet to bottom one. Based on the optimal designs, the sandwich plates possessing better performance are obtained. Three-dimensional finite element (FE) simulations are performed and the FE predictions are in good agreement with the theoretical predictions. Keywords Sandwich plate, Sinusoidal plate core, Dynamic response, Optimal design 1. Introduction Lightweight structures have been widely used in engineering, such as vehicles, ships, aircrafts and spacecrafts. Sandwich structures are typical lightweight structures with a number of advantages, e.g. ultralight, high ductility, high crashworthiness, high strength to weight ratio, high stiffness to weight ratio, multifunction. Lightweight metallic sandwich beams, plates and panels with various cores have received great attention. Several kinds of metallic cores are developed, such as metallic foams, lattice materials and corrugated cores [1-3]. In the past decades, some work has been devoted to analyzing the dynamic response of sandwich structures subjected to blast loading. Fleck and Deshpande [4] theoretically investigated the dynamic response of fully clamped metal sandwich beams under uniform transverse blast loading. Subsequently, Qiu et al. [5] developed an analytical model for dynamic response of fully clamped sandwich beams under impulsive loading over a central patch. More recently, Qin and Wang [6] and Qin et al. [7] derived new yield criteria for symmetric and geometrically asymmetric metal sandwich structures, in which the effect of core strength is incorporated. Based on the yield criterion, Qin and Wang [8] and Qin et al. [9] analytically studied the dynamic response of fully clamped metal sandwich beams subjected to impulsive loading using the membrane factor method, in which the interaction of bending and stretching is considered. Xue and Hutchinson [10] numerically studied the dynamic response of metal sandwich plates subjected to air blast loading. The study of weight optimization was carried out for pyramidal truss, square honeycomb and folded plate with respect to the respective geometric parameters, including core and face sheet thickness, core member aspect ratios and relative density. Zhang et al. [11] numerically studied the resistance of the trapezoidal plate core sandwich plates, and the FE predictions were compared with analytical solutions, showing good agreement. In additions, numerical calculations were carried out to study the dynamic response of metal sandwich panels,
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