In this paper, the effects of hardening exponent, yield strength and elastic modulus on the deformability of near hemispherical shells are investigated by means of finite element method and orthogonal experiment design. The largest eccentric angle during the deformation process and thickness reduction after the deformation are introduced to estimate the deformability quantitatively according to the deformation characteristics of near hemispherical shells. The results indicate that the hardening exponent is the most influential parameter, followed by elastic modulus and yield strength. The shell exhibits good deformability when the hardening exponent and elastic modulus are in the range of 0.1-0.125 and 70-108 GPa, respectively. Key words: near hemispherical shells, deformability, orthogonal experiment design, finite element method, material properties CLC number: V 434.23 Document code: A
IntroductionThe near hemispherical shell has been widely used in applications like the pressure vessels, aircrafts, marine structures and chemical plant installations for its excellent mechanical properties and good architectonical advantages [1][2] . However, in other applications like the diaphragm of the propellant tank, the good deformability is required to improve the expulsion. The deformability of near hemispherical shells is mainly determined by the structure and mechanical properties of materials.The research of the near hemispherical shell structure is mainly focused on the geometry parameters, such as thickness, ratio of the radius to the thickness of hemispherical shell, and geometrical imperfection. Gupta et al. [3] studied the buckling of thin spherical shells under axial loads through experiments and simulations. In their works, multiple numbers of lobes were observed in most of the specimens with ratios of the radius to the thickness varying from 40 to 218, but the deformation behavior were changed when ratios of the radius to the thickness were less than 38.14 and thickness greater than 1.2 mm. Gorland [4] analyzed the effect of the configuration and thickness on the expulsion of metal diaphragm through experiments. The research indicates that the expulsion exceeds 98% only when the diaphragm configuration is less than a complete hemisphere. Besides, the use of spun convolutions does not improve the percent expulsion because failure occurs easily in these regions. Nie [5] has investigated the buckling of imperfect shallow spherical shells, and the results show that the geometrical imperfection lowers the critical load.Material selection is also very important for the deformation behavior of near hemispherical shells. The deformation process of metal diaphragm of 304L stainless steel, pure aluminum and pure titanium was compared by Radtke [6] using experimental and simulating methods. The results show that aluminum is an optimal material for metal diaphragm because of its least buckling sensitivity and lowest differential pressure. When it comes to the effect of material parameters on the deformability of near he...