Elastoplastic Analysis of Ultimate Bearing Capacity for Multilayered Thick-Walled Cylinders Under Internal Pressure
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ELASTOPLASTIC ANALYSIS OF ULTIMATE BEARING CAPACITY FOR MULTILAYERED THICK-WALLED CYLINDERS UNDER INTERNAL PRESSURE Q. Zhu,a,1 S. Wang,b D. F. Zhang,a Y. J. Jiang,a
UDC 539.4
a
and X. Yue
The elastoplastic analysis based on the unified strength theory was performed to evaluate the ultimate bearing capacity of double- and multilayered thick-walled cylinders. The theory provides a new concept and method for the analysis of thick-walled cylinders. The solutions derived herein are widely applicable and can quantitatively account for different tension-compression strength values and mean principal stress. The fundamental solutions for single radii, assemblage pressure, and shrink range are derived with the yield condition of the theory. The traditional existing elastoplastic results by the Tresca or von Mises yield criteria can be seen as a particular case of the new solutions that can overcome shortcomings. The strength parameter, tension-compression strength ratio, radii ratio, and combined cylinder layers were taken as major theory variables for the unified solutions. The new solutions are versatile and can be adapted to the existing formulas, to more accurately calculate the structural stress conditions. The strength theory effect due to adopting different yield criteria is quite significant, which cannot be underestimated. Keywords: mechanical property, elastoplastic analysis, thick-walled cylinder, intermediate principal stress, unified strength theory. Introduction. Thick-walled cylinders are widely used in mechanical engineering, civil engineering, aerospace, chemical engineering, etc. [1–8]. In mechanical engineering, the shrink fit between a transmission shaft and sleeve, shaft and hub belong to a combined thick-walled cylinder [9–14]. To improve the ultimate bearing capacity, the method of increasing wall thickness is limited when the inner radius of a thick-walled cylinder is fixed. However, two or more thick-walled cylinders are used to form multilayered combined cylinders by means of interference fit, and the stress distribution is more reasonable than that of a single integral thick-walled cylinder [15]. Multilayered combined thick-walled cylinders are mostly designed with equal strength; that is, when the container fails, the inner and outer cylinders are simultaneously damaged [16–18]. Many researchers have studied the optimization design and stress intensity factor for combined thick-walled cylinders by the Tresca yield criterion, but it is not applicable to tensile-compressive anisotropic materials and does not consider the intermediate principal stress. Until now, the limit analysis of multiple thick-walled cylinders rarely reported in the literature. The elastoplastic bearing capacity solutions herein for double-layered and multilayered combined thick-walled cylinders are presented with unified strength theory (UST), which fully considers the influence of the intermediate principal stress and strength difference. In addition, the separate radius, assemblage pressure and shrink range fundamental
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