The most basic form of constitutive material models in engineering applications are those that represent linear elastic behavior. In this Ansys Innovation Course on “Linear Elastic Materials”, we will introduce the simplified 2D and fully 3D mathematical representation of linear elasticity as governed by Hooke’s law. We will explore three practical examples to help reinforce the theory presented. We will also discuss how directionally dependent behavior influences the theoretical formulation of Hooke’ s Law. While very simple, this study offers practical tips for predicting basic material behavior in many important industrial applications. This course serves as a very important foundation for future studies of more complex material behaviors.