Field Theoretical Approach to Deformation and Fracture

S Yoshida (1) , G.A. Gaffney (1) , C.W. Schneider (1) , R.L. Rourks (1)

1 Southeastern Lousiana University

Dynamics of plastic deformation and fracture is discussed based on the field theoretical approach introduced by a recent gauge theory called physical mesomechanics. The Maxwell type field equation derived by physical mesomechanics is interpreted as the equation of motion that describes the dynamics of a volume element in plastically deforming material. Theoretical analysis indicates that this dynamics can be argued in terms of energy conservative and dissipative forces. The energy conservative force is identified as a restoring force associated with rotational equilibrium and responsible for the oscillatory nature of plasticity. The energy dissipative force is identified as being associated with a drift of a quantity equivalent to the electric charge. Experimental observations that support these ideas are presented.

Domaines: Mécanique [physics.med-ph]

S Yoshida, G.A. Gaffney, C.W. Schneider, R.L. Rourks. Field Theoretical Approach to Deformation and Fracture. 2008 SEM XI International Congress & Exposition on Experimental & Applied Mechanics, Jun 2008, Orlando, United States. ⟨hal-01092044⟩