Application of incubation time approach to simulate dynamic crack propagation

Abstract

The incubation time criterion for dynamic fracture is applied to simulate dynamic crack propagation. Being incorporated into ANSYS finite element package, this criterion is used to simulate the classical dynamic fracture experiments of Ravi-Chandar and Knauss on dynamic crack propagation in Homalite-100. In these experiments a plate with a cut simulating the crack was loaded by an intense pressure pulse applied on the faces of the cut. The load consisted of two consequent trapezoidal pulses. This, in the experimental conditions used by Ravi-Chandar and Knauss, resulted in a crack initiation, propagation, arrest and reinitiation. Dependence of the crack length on time was measured in those experiments. The results for crack propagation obtained by FEM modelling are in agreement with experimental measurements of crack length histories. This result shows the applicability of the incubation time approach to describe the initiation, propagation and arrest of dynamically loaded cracks.

Scale and size effects in dynamic fracture of concretes and rocks

“…The fracture criterion based on the concept of incubation time, proposed in [7][8][9][10][11][12][13][14], makes it possible to predict the EPJ Web of Conferences unstable behaviour of the dynamic-strength characteristics observed in experiments on the dynamic fracture of solids. The fracture criterion can be written in the following general form:…”

“…It should be noted that notions of "size effect" and "scale effect" in [6] were nonselective. In this paper, "size effect" and "scale effect" concrete and rocks is considered based on structuraltemporal approach, described in [7][8][9][10][11][12][13][14]. The static compressive strength and the fracture stress decreases at the growth of specimen's length (size effect) and rises at the increases of specimen's width (scale effect).…”

Incubation time fracture criterion for FEM simulations

“…Lately an approach making it possible to embed the ITFC into numerical computational schemes based on finite element method (FEM) was developed [12][13][14]. Utilizing this approach simulation of several different experiments on dynamic impact fracture caused by high-rate loads was performed [12,15].…”

“…Utilizing this approach simulation of several different experiments on dynamic impact fracture caused by high-rate loads was performed [12,15]. These works testify that the ITFC used as a rupture criterion in FEM numerical simulations is able to predict correctly and precisely and all the variety of experimentally observed phenomena of dynamic fracture initiation, evolution and arrest.…”

Numerical simulation of ZrO2(Y2O3) ceramic plate penetration by cylindrical plunger

“…In this paper an approach that was previously successfully applied to simulate dynamic fracture in other classes of quasi-brittle materials [4,5] was applied to study penetration of ceramic plate by a cylindrical plunger. The focus is primarily on energetic peculiarities of the process, including investigations of histories of fracture surface evolution in fractured ceramic material, calculations of specific fracture energy at dynamic rupture initiation and studies of correlation between new fracture surface within ceramic material created as a result of a plunger impact and initial plunger energy (velocity) as well as the properties of the ceramic material.…”