Abdelghani Mechri, Tewfik Ghomari, Witek Maciej, Djahida Djouadi
Mechanical Engineering Faculty, University of Sciences and Technology, Mohamed Boudiaf (USTOMB), BP 1505, El M'naouer, Oran 31000, Algeria.
Composite Structures and Innovative Materials Laboratory (LSCMI), University of Sciences and Technology, Mohamed Boudiaf (USTOMB), BP 1505, El M'naouer, Oran 31000, Algeria.
Materials (Basel). 2021 Jun 3;14(11):3057. doi: 10.3390/ma14113057.
In this paper, an accurate distribution of stress as well as corresponding factors of stress concentration determination around a spherical cavity, which is considered as embedded in a cylinder exposed to the internal pressure only, is presented. This approach was applied at three main meridians of the porosity by combining the Eshelby's equivalent inclusion method with Mura and Chang's methodology employing the jump condition across the interface of the cavity and matrix, respectively. The distribution of stresses around the spherical flaw and their concentration factors were formulated in the form of newly formulated analytical relations involving the geometric ratio of the cylinder, such as external radius and thickness, the angle around the cavity, depth of the porosity, as well as the material Poisson ratio. Subsequently, a comparison of the analytical results and the numerical simulation results is applied to validate obtained results. The results show that the stress concentration factors (SCFs) are not constant for an incorporated flaw and vary with both the porosity depth and the Poisson ratio, regardless of whether the cylinder geometric ratio is thin or thick.
本文给出了仅承受内压的圆柱体中嵌入的球形孔洞周围应力的精确分布以及相应的应力集中系数的确定方法。通过将埃舍尔比等效夹杂法与分别采用孔洞与基体界面处的跳跃条件的村田和张的方法相结合，将该方法应用于孔隙率的三个主要子午线上。球形缺陷周围的应力分布及其集中系数以新推导的解析关系的形式给出，这些关系涉及圆柱体的几何比，如外半径和厚度、孔洞周围的角度、孔隙率深度以及材料泊松比。随后，通过比较解析结果和数值模拟结果来验证所得结果。结果表明，对于包含的缺陷，应力集中系数（SCF）不是恒定的，并且随孔隙率深度和泊松比而变化，无论圆柱体的几何比是薄还是厚。
