Displacement Gradient | Continuum Mechanics | with simple examples

The Displacement Gradient allows us to decompose a change in configuration into different modes of shape change. As the name suggests, we therefore have to take the gradient of the displacement field with respect to the reference configuration. Here are the notes: https://raw.githubusercontent.com/Ceyron/machine-learning-and-simulation/main/english/continuum_mechanics/continuum_mechanics_displacement_gradient.pdf After an intuition, we will calculate two examples of simple displacement fields. ------- 📝 : Check out the GitHub Repository of the channel, where I upload all the handwritten notes and source-code files (contributions are very welcome): https://github.com/Ceyron/machine-learning-and-simulation 📢 : Follow me on LinkedIn or Twitter for updates on the channel and other cool Machine Learning & Simulation stuff: https://www.linkedin.com/in/felix-koehler and https://twitter.com/felix_m_koehler 💸 : If you want to support my work on the channel, you can become a Patreon here: https://www.patreon.com/MLsim ------- Timestamps: 00:00 Opening 00:09 Repetition: Configuration and Motion 00:48 Motivation for the Displacement Gradient 03:24 Definition 04:38 Example 1 07:06 Example 2 09:51 Important Remarks 11:15 End-Card