An implicit computational approach in strain-gradient brittle fracture analysis

被引:3
作者
Sessa, Salvatore [1 ]
Barchiesi, Emilio [2 ]
Placidi, Luca [3 ]
机构
[1] Univ Naples Federico II, Dept Struct Engn & Architecture, Via Claudio 21, I-80124 Naples, Italy
[2] Univ Sassari, Dipartimento Architettura Design & Urbanist, Palazzo Pou Salit,Piazza Duomo,6, I-07041 Alghero, SS, Italy
[3] Int Telematic Univ Uninettuno, Fac Engn, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy
关键词
Fracture mechanics; Strain-gradient modeling; Variational principles; Brittle fracture; VARIATIONAL APPROACH; FINITE-ELEMENT; DAMAGE; MODELS;
D O I
10.1016/j.mechrescom.2024.104259
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Within the context of quasi-brittle fracture mechanics analyzed by finite element approaches, the present research addresses an implicit solution scheme applied to a strain-gradient continuum damage model. The implicit scheme is based onto an iterative procedure which minimizes for each loading step the increment of both the elastic energy and the damage field between two subsequent trial solutions. The performances of the proposed scheme are compared with those of a previously developed explicit scheme. Besides a better accuracy in the static response computation, it is demonstrated that the proposed approach provides more accurate fracture propagation patterns.
引用
收藏
页数:8
相关论文
共 28 条
[1]   A novel phase-field approach to brittle damage mechanics of gradient metamaterials combining action formalism and history variable [J].
Abali, Bilen Emek ;
Klunker, Andre ;
Barchiesi, Emilio ;
Placidi, Luca .
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2021, 101 (09)
[2]   Thermodynamically-consistent derivation and computation of twinning and fracture in brittle materials by means of phase-field approaches in the finite element method [J].
Amirian, Benhour ;
Jafarzadeh, Hossein ;
Abali, Bilen Emek ;
Reali, Alessandro ;
Hogan, James David .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2022, 252
[3]   Plane asymptotic crack-tip solutions in gradient elasticity [J].
Aravas, N. ;
Giannakopoulos, A. E. .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2009, 46 (25-26) :4478-4503
[4]   Computation of brittle fracture propagation in strain gradient materials by the FEniCS library [J].
Barchiesi, E. ;
Yang, H. ;
Tran, C. A. ;
Placidi, L. ;
Mueller, W. H. .
MATHEMATICS AND MECHANICS OF SOLIDS, 2021, 26 (03) :325-340
[5]   The variational approach to fracture [J].
Bourdin, Blaise ;
Francfort, Gilles A. ;
Marigo, Jean-Jacques .
JOURNAL OF ELASTICITY, 2008, 91 (1-3) :5-148
[6]   A homogenization result for interacting elastic and brittle media [J].
Braides, Andrea ;
Causin, Andrea ;
Solci, Margherita .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 474 (2218)
[7]   Asymptotic analysis of Lennard-Jones systems beyond the nearest-neighbour setting: A one-dimensional prototypical case [J].
Braides, Andrea ;
Solci, Margherita .
MATHEMATICS AND MECHANICS OF SOLIDS, 2016, 21 (08) :915-930
[8]   A novel fixture for measuring mode III toughness of bonded assemblies [J].
Cricri, Gabriele ;
Perrella, Michele ;
Sessa, Salvatore ;
Valoroso, Nunziante .
ENGINEERING FRACTURE MECHANICS, 2015, 138 :1-18
[9]   Second-gradient continua: From Lagrangian to Eulerian and back [J].
dell'Isola, Francesco ;
Eugster, Simon R. ;
Fedele, Roberto ;
Seppecher, Pierre .
MATHEMATICS AND MECHANICS OF SOLIDS, 2022, 27 (12) :2715-2750
[10]  
dell'Isola F, 2011, CISM COURSES LECT, V535, P1