The variational approach to fracture: an example of fruitful collaboration between mechanics and applied mathematics

被引：1

作者：

Marigo, Jean-Jacques ^{[1
,2
]}

机构：

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

[2] CNRS, F-75005 Paris, France

来源：

COMPTES RENDUS MECANIQUE | 2023年 / 351卷

关键词：

Damage; Fracture; Calculus of Variations; Stability; Free discontinuities; DAMAGE; BRITTLE; APPROXIMATION; CRACKS; MODELS;

D O I：

10.5802/crmeca.170

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This article reviews some important steps in the development and application of the variational approach to fracture. It emphasizes the essential role played by the permanent dialogue between mechanicians and applied mathematicians in bringing about this new paradigm and ensuring its undeniable success.

引用

页数：24

共 22 条

[1] Inelastic material behavior and fracture mechanics: a variational approach
Bruno, L
ARCHIVE OF APPLIED MECHANICS, 1999, 69 (06) : 393 - 405
[2] Inelastic material behavior and fracture mechanics: a variational approach
L. Bruno
Archive of Applied Mechanics, 1999, 69 : 393 - 405
[3] Meshless variational method applied to fracture mechanics with functionally graded materials
Wen, J. C.
Zhou, Y. R.
Zhang, C. G.
Wen, P. H.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2023, 157 : 44 - 58
[4] A SINGULAR PERTURBATION APPROACH TO VARIATIONAL-PROBLEMS IN FRACTURE-MECHANICS
BRAIDES, A
COSCIA, A
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1993, 3 (03): : 303 - 340
[5] The Variational Approach to Fracture Mechanics. A Practical Application to the French Panth,on in Paris
Lancioni, Giovanni
Royer-Carfagni, Gianni
JOURNAL OF ELASTICITY, 2009, 95 (1-2) : 1 - 30
[6] The Variational Approach to Fracture Mechanics. A Practical Application to the French Panthéon in Paris
Giovanni Lancioni
Gianni Royer-Carfagni
Journal of Elasticity, 2009, 95 : 1 - 30
[7] A NUMERICAL GREENS-FUNCTION APPROACH FOR BOUNDARY ELEMENTS APPLIED TO FRACTURE-MECHANICS
TELLES, JCF
CASTOR, GS
GUIMARAES, S
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (19) : 3259 - 3274
[8] A FRACTURE-MECHANICS APPROACH TO THE SINGLE FIBER PULL-OUT PROBLEM AS APPLIED TO THE EVALUATION OF THE ADHESION STRENGTH BETWEEN THE FIBER AND THE MATRIX
PALLEY, I
STEVANS, D
JOURNAL OF ADHESION SCIENCE AND TECHNOLOGY, 1989, 3 (02) : 141 - 153
[9] Comparison between fracture mechanics and local approach models for the analysis of shallow cracks
Eisele, U
Seidenfuss, M
PitardBouet, JM
JOURNAL DE PHYSIQUE IV, 1996, 6 (C6): : 75 - 89
[10] Simulation of the interactions between hydraulic and natural fractures using a fracture mechanics approach
Mateusz Janiszewski
Baotang Shen
Mikael Rinne
Journal of Rock Mechanics and Geotechnical Engineering , 2019, (06) : 1138 - 1150

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