Failure criterion for thread-like fibers in a thermoelastic medium

Abstract

The paper introduces fracture criteria for thermoelastic solids containing deformable thread-like inhomogeneities. It revisits previously introduced models of these inhomogeneities, which reduce the problem to studying specific influence functions distributed along a spatial curve. This approach reduces the number of degrees of freedom in the problem and provides a more compact solution. The paper focuses on the fracture behavior of such inhomogeneous materials under three distinct mechanisms: (a) fracture of the inhomogeneity, (b) its debonding, and (c) fracture initiation near its tip. The mathematical formulations for these criteria are provided, and numerical results are presented.