Abstract

Based on Hill’s anisotropic theory, theoretical solutions for the burst pressure and the corresponding equivalent stresses and strains for a thick-walled spherical pressure vessel made of a ductile material with plastic orthotropy are obtained. The effects of the plastic orthotropy, strain hardening, ratio of the external to internal radius of the vessel, and external pressure on the burst pressure is considered. It is found that the external pressure affects the burst pressure, while the corresponding equivalent stresses and strains have nothing to do with the external pressure.

中文翻译：

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内外压力作用下带有塑性矫形体的厚壁球形血管爆裂的研究

摘要

基于希尔的各向异性理论，获得了由塑性正交异性延性材料制成的厚壁球形压力容器的破裂压力以及相应的等效应力和应变的理论解。考虑塑性正交性，应变硬化，容器的内外半径之比以及外部压力对破裂压力的影响。发现外部压力影响爆破压力，而相应的等效应力和应变与外部压力无关。