Abstract
A new non-local inelastic constitutive theory is proposed. The model retains the algebraic nature of the flow rules of conventional theories. This feature, which is in contrast to other recently proposed non-local theories, allows the problem of incremental equilibrium to be stated without extra boundary conditions or higher-order stresses. The general idea is presented both in the context of a J-2 flow theory and a single crystal plasticity theory. It is also demonstrated that reaction-diffusion type equations in the slip variables can be accommodated within the rate-independent crystal plasticity theory presented here.
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© 1996 Kluwer Academic Publishers
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Acharya, A., Bassani, J.L. (1996). On Non-Local Flow Theories that Preserve the Classical Structure of Incremental Boundary Value Problems. 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_1
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DOI: https://doi.org/10.1007/978-94-009-1756-9_1
Publisher Name: Springer, Dordrecht
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