Analytic analysis method for stress field of single-layer or multi-shell hollow sphere or solid sphere under action of point load

• Main Authors: YAN LINTONG, QIN ZEYU, WEI XUEXIA
• Format: Patent
• Language: Chinese; English
• Published: 06.07.2016
• Subjects: CALCULATING; COMPUTING; COUNTING; ELECTRIC DIGITAL DATA PROCESSING; INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTEDFOR SPECIFIC APPLICATION FIELDS; PHYSICS

The invention relates to an analytic analysis method applicable to internal stress distribution of an isotropic or anisotropic single-layer or multi-shell solid or hollow sphere under the action of a point load. The analytic analysis method starts from a constitutive equation consisting of an elasticity equilibrium equation, a geometric equation and a physical equation and adopts an analytic method in which a displacement potential function is introduced to decouple the constitutive equation step by step so as to obtain an analytic expression of a stress. The point load on a boundary is also subjected to Fourer-Legend series expansion, and an unknown constant in the stress analytic expression is determined. In the whole computing process, the analytic method is adopted, and thus, the analytic analysis method is named as the analytic analysis method for internal stress distribution of the single-layer or multi-shell hollow sphere or solid sphere under the action of the point load. The analytic analysis method