Advertisement

The singular equilibrium field at the notch-tip of a compressible material in finite elastostatics

  • A. M. Tarantino

Abstract.

The equations of the equilibrium theory of thin hyperelastic sheets under plane stress condition are deduced for a Compressible Neo-Hookean material. Such an analysis is then employed to formulate, within the framework of fully nonlinear fracture mechanics, the notch problem under general far-field loading conditions. By means of an asymptotic procedure, the deformation and stress singular fields near the notch-tip are computed and their principal properties are illustrated in detail. Some disagreements with the linear theory are evidenced.

Key words. Finite elasticity, notch problem. 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag, Basel, 1997

Authors and Affiliations

  • A. M. Tarantino
    • 1
  1. 1.Istituto di Scienza e Tecnica delle Costruzioni, University of Ancona, via Brecce Bianche, Monte D'Ago, 60131 Ancona, Italy, (Fax: +39.71.2204576)IT

Personalised recommendations