Thermomechanics

Current Status
Not Enrolled
Price
Free
Get Started

In this course, we will begin by discussing the two laws of thermodynamics  the balance of energy law and the entropy inequality law. We then use the Legendre transformation to derive the Helmholtz free energy. Following this, we discuss the Clausius-Planck and the Clausius-Duhem inequalities. We then study thermoelasticity, which explains how a body stores internal energy as it deforms due to local temperature changes. Finally, we conclude this course by discussing the heat flux vector in current and reference configurations. 

This course was created for Ansys Innovation Courses by Professor Krishna Garikipati and Dr. Gregory Teichert, University of Michigan, in partnership with Ansys. 

Recommended Courses

In this course, we will talk about deriving linearized elasticity. This can be explained using kinematics, constitutive relations, and the balance of linear momentum. As we conclude our learning on the continuum mechanics, we will do a quick recap followed by giving due credits and discussing different books for this subject.

In this course, we begin by discussing what variational principles are and how they can be applied to nonlinear elasticity. We then apply variational derivatives for nonlinear elasticity to develop the weak form of balance of linear momentum for static problems. Finally, we use integration by parts to transform this weak form into the strong form of nonlinear elasticity. This course was created for Ansys Innovation Courses by Professor Krishna Garikipati and Dr. Gregory Teichert, University of Michigan, in partnership with Ansys.

In this course, we will discuss mass transport by considering the transport of the substance through space. Next, we will talk about the constitutive relations for flux in mass transport. Then, we will set up the foundation for the treatment of mass transport in continuum physics. Lastly, we will discuss the role of interfacial free energy and the Cahn-Hilliard formulation. This course was created for Ansys Innovation Courses by Professor Krishna Garikipati and Dr. Gregory Teichert, University of Michigan, in partnership with Ansys.