Size-effects due to Burgers tensor in classical deformation of isotropic thermoplastic materials

Size-effects due to Burgers tensor in classical deformation of isotropic thermoplastic materials

A.S. Borokinni, A.P. Akinola, O.P. Layeni, O.O. Fadodun, B.A. Olokuntoye

Abstract. This work considers size-effects phenomena associated with Burgers tensor and heat transfer in isotropic plastic materials under thermal loading. The virtual power principle, the first and second laws of thermodynamics are used to obtain the balance of forces, the balance of energy, and the free-energy imbalance in local forms. Also, the constitutive relations for microscopic stresses associated with the Burgers tensor are obtained. The balance of microscopic forces is supplemented with the constitutive relations for the stresses to form the plastic flow rule. The presence of material length scale in the flow rule shows that it is possible to study size effects through the Burgers tensor.

Keywords
Thermoplasticity, Size-Effect, Distortion Gradient Plasticity, Plastic Flow Rule, Burgers Tensor

Published online 8/10/2023, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: A.S. Borokinni, A.P. Akinola, O.P. Layeni, O.O. Fadodun, B.A. Olokuntoye, Size-effects due to Burgers tensor in classical deformation of isotropic thermoplastic materials, Materials Research Proceedings, Vol. 31, pp 281-286, 2023

DOI: https://doi.org/10.21741/9781644902592-29

The article was published as article 29 of the book Advanced Topics in Mechanics of Materials, Structures and Construction

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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