Hybrid manufacturing has traditionally targeted efficiency and productivity as improvement criteria. However, the advent of additive manufacturing to print functional parts has expanded the possibilities for a hybrid approach in this field. Hybrid additive manufacturing is the combination of two or more manufacturing processes or materials that synergistically affect the quality and performance of a printed part. Hybrid additive manufacturing allows for advancements in material properties beyond efficiency and productivity. Mechanical, physical, and chemical properties can be designed and printed. The purpose of this study was to model a hybrid additive manufacturing process to investigate the resulting mechanical properties. Laser shock peening (LSP) was coupled with selective laser melting in a 2D finite element simulation in Abaqus to quantify the resulting residual stress fields. The effects of peak pressure and layer thickness were studied when coupling laser shock peening with selective laser melting.