Tresca材料球形腔体扩张衬砌问题的弹塑性解

The Elasto-plastic Solution to the Problem of Expansion Lining in Spherical Cavity with Tresca Materials

扩张衬砌就是在爆炸形成地下空间的同时,在地下空间的壁面上形成一层与土壤紧密接触并且具有一定承载能力和防护能力的砌体。在单一土介质中球形腔体扩张问题一般解的基础上,应用弹塑性理论对两种介质中球形腔体的扩张衬砌问题进行了解析求解。在材料服从Tresca屈服准则的条件下,得到了球形腔体的最大扩张压力的一般解,为建立爆炸衬砌装药量与衬砌内腔半径之间的关系奠定了基础。

The expansion lining in soil means that it is formed with the formation of the underground cavity simultaneously by using the energy of explosion to form a lining layer at the cavity wall which is in contact tightly with the soils and of a certain load-carrying capacity and protective ability. Based on the general solution to the problem of spherical cavity explosion in single soil medium, the problems of expansion lining on spherical cavity in two media are solved analytically by using elasto-plastic theory. Under the condition of material obeying Tresca yield rule, we obtained the general solution of the maximal expansion pressure of spherical cavity, which provided a foundation for establishing the relationship between the explosive charge of expansion lining and internal radius of the lining cavity.