Plastic flow in solids with interfaces

Anurag Gupta (1) , David Steigmann (2)

1 Department of Mechanical Engineering [Kanpur]
2 Department of Mechanical Engineering [Berkeley]

A non-equilibrium theory of isothermal and diffusionless evolution of incoherent interfaces within a plastically deforming solid is developed. The irreversible dynamics of the interface are driven by its normal motion, incoherency (slip and misorientation), and an intrinsic plastic flow; and purely by plastic deformation in the bulk away from the interface. Using the continuum theory for defect distribution (in bulk and over the interface) we formulate a general kinematical framework, derive relevant balance laws and jump conditions, and prescribe a thermodynamically consistent constitutive/kinetic structure for interface evolution.

Domaines: Physique mathématique [math-ph]

Anurag Gupta, David Steigmann. Plastic flow in solids with interfaces. Mathematical Methods in the Applied Sciences, 2012, 35 (15), pp.1799-1824. ⟨hal-00773269⟩