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	The analytical solutions of thick-walled cylinder of softening material and its stability
	Yin, Youquan ; Chen, Zhaowei
刊名	lixue xuebaochinese journal of theoretical and applied mechanics
	2010
英文摘要	The constitutive law of elastoplastic material being simplified to three-line model(elastic-linear softening plastic-residual ideal plastic model), and the material obeying Tresca yield criteria and associated flow rule, the analytical solutions of thick-walled cylinder subject to internal pressure p were derived in the paper. The result shows that the yield stress in the softening plastic region is the inverse square of radial coordinate r. Firstly, the pressure p was taken as generalized force, the displacement u taken as generalized displacement, and the thick-walled cylinder taken as a whole system. On the basis of the solutions the stability problem of thick-walled cylinder was then discussed. The p-u curve of balance path was drawn, on which each point denotes a balance state. The slope of the tangent line for each point can be considered the stiffness of thick-walled cylinder. The extreme value of generalized force is the critical point on the curve, and the critical point separates the curve into two sections: the section before the critical point is stable, and the stiffness is positive; the section after the point is unstable, and the stiffness is negative. When the generalized force reaches the critical point, the displacement increases quickly and the system loses its stability, while ideal plastic thick-walled cylinder loses its stability only when the plastic region penetrates through the whole cylinder. Therefore, the failure mechanism is completely different: the former belongs to extreme value point destabilization, and the latter belongs to strength failure. That is to say, the bearing capacity has different mechanical meanings.; EI; 0; 1; 56-64; 42
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/327535]
专题	工学院
推荐引用方式 GB/T 7714	Yin, Youquan,Chen, Zhaowei. The analytical solutions of thick-walled cylinder of softening material and its stability[J]. lixue xuebaochinese journal of theoretical and applied mechanics,2010.
APA	Yin, Youquan,&Chen, Zhaowei.(2010).The analytical solutions of thick-walled cylinder of softening material and its stability.lixue xuebaochinese journal of theoretical and applied mechanics.
MLA	Yin, Youquan,et al."The analytical solutions of thick-walled cylinder of softening material and its stability".lixue xuebaochinese journal of theoretical and applied mechanics (2010).

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