We present a globally convergent method for the solution of frictionless large deformation contact problems involving hyperelastic materials. For the discretisation we apply the dual mortar method which is known to be more stable than node-to-segment approaches. The resulting non-convex constrained minimisation problems are solved using a filter–trust-region scheme. This method combines several...

A method for simultaneously constructing a reduced-order model and using it as a surrogate model to solve a PDE-constrained optimization problem is introduced. A reducedorder model is built for the parameters corresponding to the initial guess of the optimization problem. Since the resulting reduced-order model can be expected to be accurate only in the vicinity of this point in the parameter s...

Abstract We present an efficient computational approach to continuum topology optimization with linearized buckling constraints, using Reduced Order Models (ROM). A reanalysis technique is employed generate basis vectors that subsequently are used significantly reduce the size of generalized eigenvalue problems. demonstrate efficacy this by optimizing for stiffness constraints and show results ...