Accelerated Projected Gradient Method for Equilibrium Analysis of Bi-modulus Elastic Structures

Abstract

This paper develops an accelerated projected gradient method for solving the minimization problem of the total potential energy of an elastic body consisting of a bi-modulus material. It is known that this optimization problem can be recast as a semidefinite programming problem, which can be solved with a primal-dual interior-point method. Compared with this existing approach, the proposed method does not use the second derivatives of functions, and are free from numerical solution of linear equations. Numerical experiments demonstrate that the proposed method outperforms the semidefinite programming approach.