scholarly journals Arrested cracks in nonlinear lattice models of brittle fracture

1999 ◽  
Vol 60 (6) ◽  
pp. 7569-7571 ◽  
Author(s):  
David A. Kessler ◽  
Herbert Levine
Keyword(s):  
Brittle Fracture ◽  
Lattice Models ◽  
Nonlinear Lattice

scholarly journals Nonlinear lattice models for biopolymers: Dynamical coupling to a ionic cloud and application to actin filaments

2011 ◽  
Vol 4 (5) ◽  
pp. 1147-1166
Author(s):  
Cynthia Ferreira ◽  
◽  
Guillaume James ◽  
Michel Peyrard ◽  
◽  
...  
Keyword(s):  
Actin Filaments ◽  
Lattice Models ◽  
Ionic Cloud ◽  
Nonlinear Lattice ◽  
Dynamical Coupling

Random Lattice Modeling of Quasi-Brittle Fracture in Cementitious Materials: A State of the Art

2016 ◽  
Vol 847 ◽  
pp. 121-127
Author(s):  
Alessandro Fascetti ◽  
John E. Bolander ◽  
Nicola Nisticò
Keyword(s):  
Numerical Methods ◽  
Fracture Mechanics ◽  
Brittle Fracture ◽  
Historical Perspective ◽  
State Of The Art ◽  
Lattice Models ◽  
Cementitious Materials ◽  
Random Lattice ◽  
Concrete Materials ◽  
Fracture Processes

Lattice models established themselves as a powerful tool to simulate fracture processes in cementitious materials such as concrete. The paper presents the main features of this method, together with the advancements in the modeling of fracture of concrete materials. A historical perspective is also given, highlighting advantages and drawbacks of the existing fracture mechanics theories and numerical methods.

Size effect analysis of quasi-brittle fracture with localizing gradient damage model

2021 ◽  
pp. 105678952098387
Author(s):  
Yi Zhang ◽  
Amit S. Shedbale ◽  
Yixiang Gan ◽  
Juhyuk Moon ◽  
Leong H. Poh
Keyword(s):  
Brittle Fracture ◽  
Size Effect ◽  
Fracture Process ◽  
Fracture Process Zone ◽  
Concrete Beams ◽  
Process Zone ◽  
Damage Zone ◽  
Damage Model ◽  
Lattice Models ◽  
Gradient Enhancement

The size effect of a quasi-brittle fracture is associated with the size of fracture process zone relative to the structural characteristic length. In numerical simulations using damage models, the nonlocal enhancement is commonly adopted to regularize the softening response. However, the conventional nonlocal enhancement, both integral and gradient approaches, induces a spurious spreading of damage zone. Since the evolution of fracture process zone cannot be captured well, the conventional nonlocal enhancement cannot predict the size effect phenomenon accurately. In this paper, the localizing gradient enhancement is adopted to avoid the spurious spreading of damage. Considering the three-point bend test of concrete beams, it is demonstrated that the dissipation profiles obtained with the localizing gradient enhancement compare well with those of reference meso-scale lattice models. With the correct damage evolution process, the localizing gradient enhancement is shown to capture the size effect phenomenon accurately for a series of geometrically similar concrete beams, using only a single set of material parameters.

SOME ASPECTS OF NONLINEAR LATTICE MODELS

1981 ◽  
Vol 42 (C6) ◽  
pp. C6-111-C6-118 ◽  
Author(s):  
H. Büttner ◽  
H. Bilz
Keyword(s):  
Lattice Models ◽  
Nonlinear Lattice
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