Study On Burst Pressure Of Spherical Vessel With Plastic Anisotropy

Spherical pressure vessels, as a kind of special material storage equipment, have been widely applied in many engineering fields. As the spherical containers are mostly used for storage of flammable, explosive and toxic media, the safety of the spherical pressure vessels has always been the focus of experts and scholars.Firstly, this paper summarized the current research situation of spherical vessels both domestic and internationally. Secondly, isotropic yield criteria and anisotropic yield criteria are reviewed in detail in this paper. Thirdly, in the framework of finite deformation theory, the plastic limit is analyzed for the thin-walled spherical vessel and thick-walled spherical vessel with plastic anisotropy under internal pressure, respectively. Based on the Hill’s orthogonal anisotropic yield criteria, the analytical solutions of burst pressure and the corresponding equivalent stress and strain are obtained. Compared with the other bursting pressure formula, the estimation of bursting pressure in this paper is more accurate. The influences of plastic anisotropy on the burst pressure and the corresponding equivalent stress and strain are also discussed.The results show that no matter thin-walled spherical vessel or thick-walled spherical vessel, their burst pressure and the corresponding equivalent stress and strain are dependent upon plastic anisotropy. The degree of dependence of thin-walled spherical vessel is related to the strain hardening exponent of material, while the degree of dependence of thick-walled spherical vessel is related to the strain hardening exponent of material and the wall thickness.