Numerical modeling based on moving mesh method to simulate fast crack propagation

Abstract

An analysis to show the capability of moving mesh strategy to predict dynamic crack growth phenomena in 2D continuum media is proposed. The numerical method is implemented in the framework of the finite element method, which is coupled with moving mesh strategy to simulate the geometry variation produced by the crack tip motion. In particular, a computational procedure based on the combination of Fracture Mechanics concepts and Arbitrary Lagrangian-Eulerian approach (ALE) is developed. This represents a generalization of previous authors' works in a dynamic framework to propose a unified approach for predicting crack propagation in both static and dynamic frameworks. The crack speed is explicitly evaluated at each time step by using a proper crack tip speed criterion, which can be expressed as a function of energy release rate or stress intensity factor. Experimental and numerical results are proposed to validate the proposed approach. Mesh dependence problem, computational efficiency and numerical complexity are verified by comparative results.

On the elastic and mixed-mode fracture properties of PVC foam

“…The evolution of the crack tip is monitored by a refined mesh which adapts to the fracture condition, allowing an accurate prediction at low computational costs. Details about the theoretical formulation and the numerical implementation of the model can be found in [2,31,32].…”

“…The present study aims at proposing an experimental method to measure both elastic and fracture properties of PVC foams featured by different densities, ranging from 100 to 200 kg/m 3 . The parameters experimentally determined are subsequently employed as input values into a numerical model previously developed [2,31,32]. The work is structured as follows.…”

Real-time Structural Stability of Domes through Limit Analysis: Application to St. Peter’s Dome

“…In this scope, the present study provides a contribution to the structural analysis of masonry domes. In fact, researchers have, in the last decades, overtly sought the improvement of structural analysis tools and different strategies have enriched the literature (Como 2019;Cennamo, and Cusano 2020;Anselmi, Galizia, and Saetta 2020;Ginovart, Costa, and Fortuny 2013;Fabbrocino, et al 2020) since the modern theory of limit analysis proposed by Heymann (Heyman 1966;1969).…”

Prediction of Fatigue Crack Growth in Metallic Specimens under Constant Amplitude Loading Using Virtual Crack Closure and Forman Model

“…In conjunction with additional calculations, it can be used to determine SIF for a crack and predict a lifetime of a structure in which that crack is contained. To predict the growth of an already existing crack in a structure, many different approaches can be used [2], including adaptive and moving mesh approaches [9][10][11][12]. The decision on which approach and fracture parameter will be used is dependent on a multitude of factors related to the material and geometry of a structure.…”