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

  • A. M. Tarantino


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. 


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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

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