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Partition of Unity Methods
book

Partition of Unity Methods

by Stéphane P. A. Bordas, Alexander Menk, Sundararajan Natarajan
October 2023
Intermediate to advanced content levelIntermediate to advanced
368 pages
12h 57m
English
Wiley
Content preview from Partition of Unity Methods

6 Recovery-Based Error Estimation and Bounding in XFEM

Octavio Andrés González-Estrada1, Juan José Ródenas García2 and Stéphane P. A. Bordas3

1Universidad Industrial de Santander, Colombia Universidad Politécnica de Valencia, Valencia, Spain2 Univesity of Luxembourg, Luxembourg, UK3

6.1 Introduction

Engineering structures, in particular in aerospace engineering, are intended to operate with flawless components, especially for safety critical parts. However, there is always a possibility that cracking will occur during operation, risking catastrophic failure, and associated casualties.

The mission of damage tolerance assessment (DTA) is to assess the influence of these defects, cracks, and damage on the ability of a structure to perform safely and reliably during its service life. An important goal of DTA is to estimate the fatigue life of a structure, i.e., the time during which it remains safe given a pre-existing flaw.

DTA relies on the ability to accurately predict crack paths and growth rates in complex structures. Since the simulation of three-dimensional (3D) crack growth is either not supported by commercial software, or requires significant effort and time for the analysts and is generally not coupled to robust error indicators, reliable, quality-controlled, industrial DTA is still a major challenge in engineering practice.

The extended finite element method (XFEM) (Moës et al., 1999) is now one of many successful numerical methods to solve fracture mechanics problems. ...

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ISBN: 9780470667088Purchase Link