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Acta Mechanica

, 190:115 | Cite as

The asymptotic structure of small-scale yielding interfacial free-edge joint and crack-tip fields

  • L. Marsavina
  • A. D. Nurse
Article

Summary

The problem of the small-scale yielding (SSY) plane-strain asymptotic fields for the interfacial free-edge joint singularity is examined in detail, and comparisons are made with the interfacial crack tip. The geometries are idealized as isotropic elasto-plastic materials with Ramberg-Osgood power-law hardening properties bonded to a rigid elastic substrate. The resulting fields are shown to be singular and are presented in terms of radial and angular distributions of stress and displacement, and as idealized plastic slip-line sectors. A fourth-order Runge-Kutta numerical method provides solutions to fundamental equations of equilibrium and compatibility that are verified with those of a highly focused finite element (FE) analysis. It is shown that, as in the case of the crack, the asymptotic singular fields are only dependent on the hardening parameter and only a small range of interfacial mode-mix ratios are permitted. The order for the stress singularity may be formulated in terms of the hardening parameter and the elastic solution for incompressible material. The rigid-slip-line field for the interfacial free-edge joint is presented, and it is shown that there is some significant similarity between the asymptotic fields of the deviatoric polar stresses for the joint and the crack-tip having an elastic wedge sector.

Keywords

Asymptotic Solution Aravas Interfacial Crack Stress Singularity Singularity Order 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 2006

Authors and Affiliations

  1. 1.Department Strength of MaterialsUniversity Politehnica TimisoaraTimisoaraRomania
  2. 2.Department of Mechanical EngineeringLoughborough UniversityLoughboroughU.K

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