r7.02.03 Rate of energy restoration in non-linear thermoelasticity

Summary:

The calculation of the energy restoration rate by the theta method is presented in 2D or 3D for a non-linear thermo-elastic problem. The nonlinear elastic behavior relationship is described in [R5.03.20].

• 1. Calculation of the energy return rate by the theta method in nonlinear thermoelasticity
  • 1.1. Behavioral relationship
  • 1.2. Potential energy and equilibrium relationships
  • 1.3. Lagrangian expression for the energy return rate
  • 1.4. G implantation in nonlinear thermoelasticity
  • 1.5. Warning
• 2. Calculation of the energy return rate by the theta method in large transformations
  • 2.1. Behavioral relationship
  • 2.2. Potential energy and equilibrium relationships
  • 2.3. Lagrangian expression for the rate of energy restoration in non-linear thermoelasticity and in large transformations
  • 2.4. Implantation
  • 2.5. Restriction
• 3. Bibliography