Energy-based non-local plasticity models for deformation patterning, localization and fracture

Download

index.pdf

Date

2015-08-08

Author

Lancioni, Giovanni
Yalçınkaya, Tuncay
Cocks, Alan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

156
views

0
downloads

This paper analyses the effect of the form of the plastic energy potential on the (heterogeneous) distribution of the deformation field in a simple setting where the key physical aspects of the phenomenon could easily be extracted. This phenomenon is addressed through two different (rate-dependent and rate-independent) non-local plasticity models, by numerically solving two distinct one-dimensional problems, where the plastic energy potential has different non-convex contributions leading to patterning of the deformation field in a shear problem, and localization, resulting ultimately in fracture, in a tensile problem. Analytical and numerical solutions provided by the two models are analysed, and they are compared with experimental observations for certain cases.

Subject Keywords

General Engineering, General Physics and Astronomy, General Mathematics

URI

https://hdl.handle.net/11511/41013

Journal

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

DOI

https://doi.org/10.1098/rspa.2015.0275

Collections

Department of Aerospace Engineering, Article

Suggestions

OpenMETU
Core

Dynamical correlations in quasi-one-dimensional electron gas Bulutay, C; Tanatar, B (IOP Publishing, 1998-09-01) We study the short-range correlations in a quasi-one-dimensional electron gas within the dynamical version of the self-consistent field theory. The static structure factor exhibits a peak structure at low densities. The zero-frequency limit of the dynamic local-field factor has structure not encountered in the previous applications of the present method. The large oscillations at low densities observed in the pair-correlation function indicates a transition to a partially ordered state.
Weyl nodes in periodic structures of superconductors and spin-active materials Keleş, Ahmet (The Royal Society, 2018-08-01) Motivated by recent progress in epitaxial growth of proximity structures of s-wave superconductors (S) and spin-active materials (M), in this paper we show that certain periodic structures of S and M can behave effectively as superconductors with pairs of point nodes, near which the low-energy excitations are Weyl fermions. A simple model, where M is described by a Kronig-Penney potential with both spin-orbit coupling and exchange field, is proposed and solved to obtain the phase diagram of the nodal struct...
Nonoscillation and asymptotic behaviour for third order nonlinear differential eruptions Tiryaki, Aydın; Celebi, AO (Institute of Mathematics, Czech Academy of Sciences, 1998-01-01) In this paper we consider the equation
Eigensolution, expectation values and thermodynamic properties of the screened Kratzer potential Ikot, A. N.; Okorie, U. S.; Sever, Ramazan; Rampho, G. J. (Springer Science and Business Media LLC, 2019-08-12) Within the framework of non-relativistic quantum mechanics via the Nikiforov-Uvarov (NU) method, we obtained the energy eigenvalues and the corresponding normalized eigenfunctions of a newly proposed screened Kratzer potential for lithium hydride (LiH) and hydrogen chloride (HCl) diatomic molecules. With the help of the Hellman-Feynman theorem, the expressions for the expectation values of the square of inverse of position, r(-2), inverse of position, r(-1), kinetic energy, T, and square of momentum, p(2), ...
Geometric characterizations of existentially closed fields with operators Pierce, D (Duke University Press, 2004-12-01) This paper concerns the basic model-theory of fields of arbitrary characteristic with operators. Simplified geometric axioms are given for the model-companion of the theory of fields with a derivation. These axioms generalize to the case of several commuting derivations. Let a D-field be a field with a derivation or a difference-operator, called D. The theory of D-fields is companionable. The existentially closed D-fields can be characterized geometrically without distinguishing the two cases in which D can...

Citation Formats

G. Lancioni, T. Yalçınkaya, and A. Cocks, “Energy-based non-local plasticity models for deformation patterning, localization and fracture,” PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, pp. 0–0, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41013.