冻结壁弹塑性分析的目的并不是为了减薄冻结壁厚度,而是为可靠性设计提供参考。综述了冻结壁弹塑性分析的发展,基于"包神"公式弹性分析,开展了冻结壁弹塑性力学模型的研究,推导出了应力场和位移场解析表达式,并与不同力学模型进行了对比;分析了采用不同屈服准则时的冻结壁塑性区半径计算公式和进入临塑状态时的水平初始应力判别式。利用工程算例对比分析了不同水平初始应力下,采用不同屈服准则时冻结壁的临塑地压值、塑性区外半径和弹性区外荷载;结果表明,冻结壁临塑地压值增大32%,塑性区半径减小14.5%,冻结壁外载荷减小23.3%,为冻结壁厚度设计的可靠性分析提供了数据支持。
The purpose of elastoplastic analysis for frozen wall is not only to reduce the thickness of frozen wall, but also to provide reference for the reliability design. The development of elastoplastic analysis for frozen wall is reviewed, and the elastoplastic mechanical model of frozen wall is studied based on the elastic analysis of "Baoshen" formula. The analytical solutions of the stress field and displacement field are deduced and compared with different mechanical models. Then a discriminant for the horizontal initial stress and the plastic zone radius under different yield criteria are also investigated when the frozen wall is approaching plasticity. According to engineering case studies, the critical edge pressure, the plastic zone radius and the load on elastic zone are analyzed under different initial stress levels and different yield criteria. The results show that the critical edge pressure of the frozen wall is increased by 32%, the radius of the plastic zone is decreased by 14.5%, and the load of the frozen wall is decreased by 23.3%, which provide the data support for the reliability analysis of the design of the frozen wall thickness.