Second order sensitivity analysis for shape optimization of continuum structures

This study focuses on the optimization of the plane structure. Sequential quadratic programming (SQP) will be utilized, which is one of the most efficient methods for solving nonlinearly constrained optimization problems. A new formulation for the second order sensitivity analysis of the twodimensional finite element will be developed. All the second order required derivatives will be calculated. These values will be used in SQP scheme for structural optimization. Both plane stress and plane strain problems are analyzed. Numerical examples show the success and effectiveness of the suggested formulation.