1. The University of Texas at Arlington Department of Industrial, Manufacturing, and Systems Engineering, , Arlington, TX 76019
2. The University of Texas at Arlington Department of Mechanical and Aerospace Engineering, , Arlington, TX 76019 ;
3. The University of Texas at Arlington Research Institute Institute for Predictive Performance Methodologies, , Fort Worth, TX 76118
4. Dassault Systemes Simulia Corp , Johnston, RI 02919