The paper presents a two-terms asymptotic analysis of the near-tip stress fields of sharp V-shaped notches having the bisector inclined with respect to remotely applied tensile stress. Due to their geometry, mixed-load conditions are present at the notch tip. The governing of equations result in a leading order system and a second order system. As known, one of the most significant characteristics of singular stress fields in nonlinear materials is that the solution for mixed-mode loading cannot be expressed as a linear combination of mode I and mode II solutions. When the included angle is greater than 90 degrees (as it generally happens in most welded joints, for example) a satisfactory description of the stresses at the notch tip can be obtained by imposing boundary conditions of the symmetric type in the leading-order system, and boundary conditions of antisymmetric type in the second order system. Finally, simple expressions of the plastic Notch Stress Intensity Factors are reported for a particular geometry, with the aim to explicitly describe the influence of scale effect, nominal stress and material properties on the intensities of the asymptotic stress distribution under nonlinear conditions.
Plastic Notch Stress Intensity Factors for Large V-Shaped Notches under Mixed Load Conditions
LAZZARIN, Paolo;LIVIERI, Paolo
2001
Abstract
The paper presents a two-terms asymptotic analysis of the near-tip stress fields of sharp V-shaped notches having the bisector inclined with respect to remotely applied tensile stress. Due to their geometry, mixed-load conditions are present at the notch tip. The governing of equations result in a leading order system and a second order system. As known, one of the most significant characteristics of singular stress fields in nonlinear materials is that the solution for mixed-mode loading cannot be expressed as a linear combination of mode I and mode II solutions. When the included angle is greater than 90 degrees (as it generally happens in most welded joints, for example) a satisfactory description of the stresses at the notch tip can be obtained by imposing boundary conditions of the symmetric type in the leading-order system, and boundary conditions of antisymmetric type in the second order system. Finally, simple expressions of the plastic Notch Stress Intensity Factors are reported for a particular geometry, with the aim to explicitly describe the influence of scale effect, nominal stress and material properties on the intensities of the asymptotic stress distribution under nonlinear conditions.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
