Global and goal-oriented reanalysis in nonlinear structural mechanics

Reanalysis methods can be used in order to reduce the overall computational cost in numerical simulation. In this contribution an approach for global and goal‐oriented nonlinear reanalysis based on residual increment approximations (RIA) is presented. The method requires only the evaluation of residual vectors, which can be done very fast and efficient. Moreover, the results are improved by using a rational approximation method. The approach is general and can be applied to linear and nonlinear problems with different kind of design modifications. Furthermore, the proposed method is very efficient and easily to implement in existing finite element programs, because no derivatives with respect to the design variables are necessary.