Configurational Forces in Crystal Plasticity

On Dual Configurational Forces

The dual conservation laws of elasticity are systematically re-examined by using both Noether’s variational approach and Coleman–Noll–Gurtin’s thermodynamics approach. These dual conservation laws can be interpreted as the dual configurational force, and therefore they provide the dual energy–momentum tensor. Some previously unknown and yet interesting results in elasticity theory have been dis...

Configurational forces as dissipative mechanisms: a revisit

A variational argument is used to obtain a necessary and sufficient condition for interpreting the work done by configurational forces as the net dissipation. This condition is the Euler–Lagrange equation associated with the variational integral. We use this simple proposition to re-interpret classical results and also gain insight into recently obtained configurational forces in the stress spa...

A New Interpretation of Configurational Forces

In a recent paper [7] we interpreted configurational forces as necessary and sufficient dissipative mechanisms such that the corresponding Euler-Lagrange equations are satisfied. We now extend this argument for a dynamic elastic medium, and show that the energy flux obtained from the dynamic J integral ensures that the equations of motion hold throughout the body.

An anisotropic elastic formulation for configurational forces in stress space

A new variational principle for an anisotropic elastic formulation in stress space is constructed, the Euler–Lagrange equations of which are the equations of compatibility (in terms of stress), the equilibrium equations and the traction boundary condition. Such a principle can be used to extend recently obtained configurational balance laws in stress space to the case of anisotropy.

Breaking the configurational anisotropy in Fe single crystal nanomagnets