Three-dimensional Elastostatics Analysis by the Fictitious Stress Method Employing Analytical Integrals

摘要

Conventional Fictitious Stress Methods (FSM) employ numerical integration to calculate displacements or stresses on each element unit. The paper represents a new kind of three-dimensional Fictitious Stress Method adopting analytical integrals over triangular leaf elements instead of numerical integration. The FSM procedure employs the Kelvin's Solutions to get boundary integral equations with which simultaneous equations with components of stress as unknown variables are set up. Solving the equations, the more reliable and accurate computing result can be obtained. The results compared with analytical solutions of the Lame problem show that the new FSM procedure is a high-precision algorithm.