Architecture of a multi-crack model with full closing, reopening and sliding capabilities

被引:11
作者
Cervera, M. [1 ]
Barbat, G. B. [1 ]
Chiumenti, M. [1 ]
机构
[1] Tech Univ Catalonia, BarcelonaTECH, Int Ctr Numer Methods Engn CIMNE, Edificio C1,Campus Norte,Jordi Girona 1-3, Barcelona 08034, Spain
关键词
Cracking; Cyclic loading; Damage; Orthotropy; Mixed finite elements; DAMAGE MODEL; ANISOTROPIC DAMAGE; CONCRETE; FAILURE; 3D;
D O I
10.1007/s00466-020-01836-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper discusses the finite element modeling of cracking of quasi-brittle materials under cyclic loading. A damage based crack model is proposed, which considers tensile and compressive damage, irreversible strains upon unloading in compression, as well as micro-crack closure-reopening effects with special attention to the sliding of open cracks (MCRS). The model is implemented in conjunction with a mixed strain/displacement finite element formulation which provides enhanced accuracy and guarantees mesh size and bias independent results. Two distinct damage models are developed. The first one is based on the classical fixed orthotropic crack models and the second is an isotropic version. Both of them incorporate the necessary elements to furnish full MCRS capabilities. The model is demonstrated through several examples of application and comparison with experimental evidence, in mode I, mode II and mixed mode monotonic and cyclic loading.
引用
收藏
页码:1593 / 1620
页数:28
相关论文
共 33 条
[1]   Appraisement of planar, bending and twisting cracks in 3D with isotropic and orthotropic damage models [J].
Barbat, G. B. ;
Cervera, M. ;
Chiumenti, M. .
INTERNATIONAL JOURNAL OF FRACTURE, 2018, 210 (1-2) :45-79
[2]  
BAZANT ZP, 1984, J STRUCT ENG-ASCE, V110, P2015
[3]   3D numerical modelling of twisting cracks under bending and torsion of skew notched beams [J].
Benedetti, Lorenzo ;
Cervera, Miguel ;
Chiumenti, Michele .
ENGINEERING FRACTURE MECHANICS, 2017, 176 :235-256
[4]   Numerical experiments in revisited brittle fracture [J].
Bourdin, B ;
Francfort, GA ;
Marigo, JJ .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2000, 48 (04) :797-826
[5]   On the formulation of anisotropic elastic degradation. I. Theory based on a pseudo-logarithmic damage tensor rate [J].
Carol, I ;
Rizzi, E ;
Willam, K .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2001, 38 (04) :491-518
[6]   NEW EXPLICIT MICROPLANE MODEL FOR CONCRETE - THEORETICAL ASPECTS AND NUMERICAL IMPLEMENTATION [J].
CAROL, I ;
PRAT, PC ;
BAZANT, ZP .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1992, 29 (09) :1173-1191
[7]  
CARRARA P, 2018, ARXIV181102244
[8]   Finite element modeling of quasi-brittle cracks in 2D and 3D with enhanced strain accuracy [J].
Cervera, M. ;
Barbat, G. B. ;
Chiumenti, M. .
COMPUTATIONAL MECHANICS, 2017, 60 (05) :767-796
[9]   Mixed stabilized finite element methods in nonlinear solid mechanics. Part III: Compressible and incompressible plasticity [J].
Cervera, M. ;
Chiumenti, M. ;
Benedetti, L. ;
Codina, R. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 285 :752-775
[10]   Mixed stabilized finite element methods in nonlinear solid mechanics Part I: Formulation [J].
Cervera, M. ;
Chiumenti, M. ;
Codina, R. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (37-40) :2559-2570