Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review

被引：57

作者：

Egger, Adrian ^{[1
]}

Pillai, Udit ^{[2
]}

Agathos, Konstantinos ^{[1
]}

Kakouris, Emmanouil ^{[2
]}

Chatzi, Eleni ^{[1
]}

Aschroft, Ian A. ^{[3
]}

Triantafyllou, Savvas P. ^{[2
]}

机构：

[1] Swiss Fed Inst Technol, Inst Struct Engn, D BAUG, CH-8093 Zurich, Switzerland

[2] Univ Nottingham, Fac Engn, Ctr Struct Engn & Informat, Nottingham NG7 2RD, England

[3] Univ Nottingham, Fac Engn, Ctr Addit Mfg, Nottingham NG7 2RD, England

来源：

APPLIED SCIENCES-BASEL | 2019年 / 9卷 / 12期

基金：

瑞士国家科学基金会; 欧盟地平线“2020”;

关键词：

LEFM; XFEM; GFEM; SBFEM; phase field; FINITE-ELEMENT-METHOD; STRESS INTENSITY FACTORS; COHESIVE CRACK-GROWTH; MATERIAL POINT METHOD; SUPERCONVERGENT PATCH RECOVERY; GRADIENT-ENHANCED DAMAGE; ENERGY RELEASE RATES; BRITTLE-FRACTURE; HIGHER-ORDER; LEVEL SETS;

D O I：

10.3390/app9122436

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

Three alternative approaches, namely the extended/generalized finite element method (XFEM/GFEM), the scaled boundary finite element method (SBFEM) and phase field methods, are surveyed and compared in the context of linear elastic fracture mechanics (LEFM). The purpose of the study is to provide a critical literature review, emphasizing on the mathematical, conceptual and implementation particularities that lead to the specific advantages and disadvantages of each method, as well as to offer numerical examples that help illustrate these features.

引用

页数：65

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