Constrained and Unconstrained Optimization Formulations for Structural Elements in Unilateral Contact with an Elastic Foundation

Algorithm 1

Nonlinear solution strategy based on the second-order Newton method.

(1) Initialize: W ⁰ (A and )

(2) Iterations (equilibrium problem):

(i) Compute: M ^(k-1)

(ii) Compute: g ^(k-1)

(iii) Check convergence:

   Yes: Go to step (3)

   No: Compute the corrections:

    Updated variables: , go to step (2)

(3) Print the variables and stop