Development of a computational weld mechanics (CWM) framework that automates multiple setups and evaluations is required to practically explore a design space by given design of experiment (DOE) matrices. Saving an expert-user's time to prepare several analyses and allocating CPUs to be utilized efficiently make this framework cost effective and time effective to manage designer-driven optimization and control application of CWM. A validation analysis is conducted in this framework to identify the CWM control vector that minimizes the difference between the computed and experimental data. Actual CWM problems with continuous and/or discontinuous parametric design spaces are solved in this framework to minimize weld distortion using derivative-free optimization algorithms and DOE matrices that become attractive in this framework.