Abstract

Accurate measurements of displacements around opening or interfacial shear cracks (shear ruptures) are challenging when digital image correlation (DIC) is used to quantify strain and stress fields around such cracks. This study presents an algorithm to locally adjust the displacements computed by DIC near frictional interfaces of shear ruptures, in order for the local stress fields to satisfy the continuity of tractions across the interface. In the algorithm, the stresses near the interface are extrapolated by local polynomials that are constructed using a constrained inversion. This inversion is such that the traction continuity (TC) conditions are satisfied at the interface while simultaneously matching the displacements produced by the DIC solution at the pixels closest to the center of the subset, where the DIC fields are more accurate. We apply the algorithm to displacement fields of experimental shear ruptures obtained using a local DIC approach and show that the algorithm produces the desired continuous traction field across the interface. The experimental data are also used to examine the sensitivity of the algorithm against different geometrical parameters related to construction of the polynomials in order to avoid artifacts in the stress field.

Highlights

  • Understanding the dynamics of shear rupture of interfaces is important for fields ranging from failure of composites and bimaterial structures, to earthquakes, car brakes, and even to pistons of internal combustion engines

  • The local digital image correlation (DIC) solution is supplemented with a fast post-processing algorithm to enforce the continuity of tractions across the interfaces of shear ruptures

  • This procedure allows us to obtain more physically meaningful stress fields near the interface, which is important when DIC is applied to study the dynamics of laboratory frictional ruptures

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Summary

Introduction

Understanding the dynamics of shear rupture of interfaces is important for fields ranging from failure of composites and bimaterial structures, to earthquakes, car brakes, and even to pistons of internal combustion engines. The laboratory setup is was designed to study dynamics of shear ruptures displacement propagating along was accurately mapped by having subsets over the interface as the high resolution and low preexisting inclined frictional interfaces via full-field measurements of displacements, velocities, noise of the for the subset size to be relatively small compared toquadrilateral the image size, so strains, andimages stressesallowed associated with the rupture Local DIC approaches that provide the solution up to half a subset from the interface may be sufficient when tracking the quasi-static propagation and opening of tensile crack faces and the associated strain field, using a large field of views and high-resolution cameras. Implications for the analysis of friction using the stress fields produced by this approach and conclusions are given in Sections 4 and 5, respectively

Monitoring Dynamic Shear Ruptures in the Laboratory
The Laboratory Setup
Digital Image Correlation to obtain Displacement Fields
Post-Processing of the Displacement Fields
Full-field
Traction Continuity Conditions
Approximating the Displacements with Local Polynomials
Inverting for the Polynomial Coefficients
The Effects of the Geometrical Parameters of the Polynomial
Theatshear stress at the interface when
Implications
Conclusions
Methods

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