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本文提出的采用增量理论的分析模型和方法可以定量分析应变硬化、包辛格效应和材料机械性质随温度变化等因素对自增强厚壁圆筒中残余应力和操作应力分布的影响.厚壁圆筒看成由N个同轴薄壁圆筒套在一起组成的构件;采用包括弹性、塑性和温度应变的增量型本构关系和相容条件导出了自增强圆筒的基本方程;设计了计算机程序并给出了分析实例。分析结果表明,应变硬化会减小塑性区并降低残余应力;包辛格效应使反向屈服容易出现;温度升高将使残余应力和热应力松驰.
The analytical model and method proposed in this paper can quantitatively analyze the effects of strain hardening, Bauschinger effect, and mechanical properties of materials on the residual stress and operating stress distribution in self-reinforced thick-walled cylinders. The cylinder is regarded as a member composed of N coaxial thin-wall cylinders; the basic equations of the self-reinforced cylinder are derived using incremental constitutive relations including elasticity, plasticity and temperature strain and compatibility conditions; a computer program is designed. And gives an analysis example. The analysis results show that the strain hardening will reduce the plastic zone and reduce the residual stress; the Bauschinger effect makes the yielding in the reverse direction easier; the increase in temperature will relax the residual stress and thermal stress.