Abstract
Consider in reference configuration V τ the representative volume v of an inelastic material bounded by a surface S and made up by vectors r~ τ time t = τ (~ means local values of parameters). Describe movement by the function r~ (r~ τ , t), where r~ is the position vector in actual configuration V t . The functions r~ (r~ τ , t) and r~ (r~ τ , t) undergo discontinuities on moving surfaces Σ. The surface Σ can be a surface of noncoherent phase transition (PT) or a slip surface. If only velocities are discontinues on Σ, and a jump [r~] = 0, then the PT is a coherent one. If [M~] ≠ 0 PT is a noncoherent one.
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© 1996 Kluwer Academic Publishers
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Levitas, V.I. (1996). Some Relations for Finite Inelastic Deformation of Microheterogeneous Materials with Moving Discontinuity Surfaces. In: Pineau, A., Zaoui, A. (eds) IUTAM Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials. Solid Mechanics and its Applications, vol 46. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1756-9_39
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DOI: https://doi.org/10.1007/978-94-009-1756-9_39
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7285-4
Online ISBN: 978-94-009-1756-9
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