Objectivity and Material Symmetry

Recommended Courses

This short course is intended to discuss the solution for boundary value problems. 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 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.

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 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 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.

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.