Finite Fracture Mechanics from the macro- to the micro-scale. Comparison with the Phase Field model

被引：2

作者：

Jimenez-Alfaro, S. ^{[1
]}

Reinoso, J. ^{[2
]}

Leguillon, D. ^{[1
]}

Maurini, C. ^{[1
]}

机构：

[1] Sorbonne Univ, Inst Jean Rond Alembert, CNRS, UMR 7190, 4 Pl Juisseu, F-75005 Paris, France

[2] Univ Seville, Escuela Tecn Super Ingn Sevilla, Grp Elasticidad & Resistencia Mat, Seville 41092, Spain

来源：

23 EUROPEAN CONFERENCE ON FRACTURE, ECF23 | 2022年 / 42卷

关键词：

Micro-scale; Fracture properties; Phase Field; Brittle fracture; BRITTLE-FRACTURE;

D O I：

10.1016/j.prostr.2022.12.070

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In the Phase Field methodology there is a length parameter related to the size of the damage region, which is proportional to the Irwin length. In this work, we apply the Phase Field methodology to the analysis of fracture at the micro-scale in brittle materials, studying the role of this length parameter when the size of the specimen is of the order of the Irwin length. We compare the conclusions obtained with the ones previously presented using Finite Fracture Mechanics. Two different schemes are used, a staggered and a monolithic scheme. (c) 2022 The Authors. Published by Elsevier B.V.

引用

页码：553 / 560

页数：8

共 17 条

[1] APPROXIMATION OF FUNCTIONALS DEPENDING ON JUMPS BY ELLIPTIC FUNCTIONALS VIA GAMMA-CONVERGENCE
AMBROSIO, L
TORTORELLI, VM
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1990, 43 (08) : 999 - 1036
[2] Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments
Amor, Hanen
Marigo, Jean-Jacques
Maurini, Corrado
[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2009, 57 (08) : 1209 - 1229
[3] Numerical experiments in revisited brittle fracture
Bourdin, B
Francfort, GA
Marigo, JJ
[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2000, 48 (04) : 797 - 826
[4] Morphogenesis and Propagation of Complex Cracks Induced by Thermal Shocks
Bourdin, Blaise
Marigo, Jean-Jacques
Maurini, Corrado
Sicsic, Paul
[J]. PHYSICAL REVIEW LETTERS, 2014, 112 (01)
[5] Revisiting brittle fracture as an energy minimization problem
Francfort, GA
Marigo, JJ
[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1998, 46 (08) : 1319 - 1342
[6] Griffith A.A., 1921, Philosophical transactions of the Royal Society of London, V221, P98
[7] Fracture properties of an irradiated PWR UO2 fuel evaluated by micro-cantilever bending tests
Henry, Ronan
Zacharie-Aubrun, Isabelle
Blay, Thierry
Chalal, Smail
Gatt, Jean-Marie
Langlois, Cyril
Meille, Sylvain
[J]. JOURNAL OF NUCLEAR MATERIALS, 2020, 538
[8] Finite fracture Mechanics at the micro-scale. Application to bending tests of micro cantilever beams
Jimenez-Alfaro, Sara
Leguillon, Dominique
[J]. ENGINEERING FRACTURE MECHANICS, 2021, 258
[9] Strength or toughness? A criterion for crack onset at a notch
Leguillon, D
[J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2002, 21 (01) : 61 - 72
[10] Marigo J.J., 2016, Gradient damage models and their use in brittle fracture

← 1 2 →