Incubation time fracture criterion for FEM simulations

Abstract

The paper is discussing problems connected with embedment of the incubation time criterion for brittle fracture into finite element computational schemes. Incubation time fracture criterion is reviewed; practical questions of its numerical implementation are extensively discussed. Several examples of how the incubation time fracture criterion can be used as fracture condition in finite element computations are given. The examples include simulations of dynamic crack propagation and arrest, impact crater formation (i.e. fracture in initially intact media), spall fracture in plates, propagation of cracks in pipelines. Applicability of the approach to model initiation, development and arrest of dynamic fracture is claimed.

Seismic Barriers for Protection Against Surface and Headwaves: Multiple Scatters and Metamaterials

“…Such solutions, as a rule, are not applicable to the analysis of real problems, but can be used to validate and assess the accuracy of the developed numerical models. In most cases, the problem posed can be solved only numerically using approximate methods for solving the resulting systems of differential equations (see, for example, [55]).…”

Incubation time approach in rock fracture dynamics

“…It was shown that using the incubation time criterion incorporated into finite element code a correct prediction of dynamic fracture initiation [2,5], dynamic crack propagation [22] and fracture of initially fractured media [23] is possible.…”

Near-Resonant Regimes of a Moving Load on a Pre-Stressed Incompressible Elastic Half-Space

“…There are relatively few treatments of transient modes in moving load problems, including early works (Payton, 1967;Gakenheimer and Miklowitz, 1969) and also more recent contributions (de Hoop, 2002;Kaplunov et al, 2010b). It is known that an analysis of transient dynamics is generally non-trivial, often requiring a numerical approach; refer to studies by Bratov (2011) and Smirnov et al (2012). We also mention active studies of moving loads on elastic structures, for example refer to a textbook (Fryba, 1999) and references therein, as well as recent works in studies by Dimitrovová (2017), Wang et al (2020) and Lu et al (2020).…”