软化材料厚壁筒的解析解及其稳定性分析

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	软化材料厚壁筒的解析解及其稳定性分析; THE ANALYTICAL SOLUTIONS OF THICK-WALLED CYLINDER OF SOFTENING MATERIAL AND ITS STABILITY
	殷有泉 ; 陈朝伟
刊名	力学学报
	2010
关键词	厚壁筒 Treaca屈服准则应变软化临界载荷平衡稳定性 thick-walled cylinder Treaca yield criteria strain-softening critical load equilibrium stability
英文摘要	将弹塑性材料的应力应变全过程曲线简化为三线性模型(弹性-线性软化-残余理想塑性),并假设材料服从Tresca屈服准则和关联流动法则,推导出受内压厚壁筒的解析解.在这个解析解的基础上,讨论了厚壁筒的平衡稳定性问题,内压达到临界载荷时,厚壁简丧失稳定性,其临界载荷就是软化塑性材料厚壁简的承载能力.; 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.; 中文核心期刊要目总览(PKU); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 0; 1; 56-64; 42
语种	中文
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/15405]
专题	工学院
推荐引用方式 GB/T 7714	殷有泉,陈朝伟. 软化材料厚壁筒的解析解及其稳定性分析, THE ANALYTICAL SOLUTIONS OF THICK-WALLED CYLINDER OF SOFTENING MATERIAL AND ITS STABILITY[J]. 力学学报,2010.
APA	殷有泉,&陈朝伟.(2010).软化材料厚壁筒的解析解及其稳定性分析.力学学报.
MLA	殷有泉,et al."软化材料厚壁筒的解析解及其稳定性分析".力学学报 (2010).