scholarly journals Fracture size effects from disordered lattice models

2008 ◽  
Vol 154 (1-2) ◽  
pp. 51-59 ◽  
Author(s):  
Mikko J. Alava ◽  
Phani K. V. V. Nukala ◽  
Stefano Zapperi
Keyword(s):  
Size Effects ◽  
Lattice Models ◽  
Disordered Lattice ◽  
Fracture Size

Scaling of Sea Ice Fracture—Part II: Horizontal Load From Moving Ice

2001 ◽  
Vol 69 (1) ◽  
pp. 19-24 ◽  
Author(s):  
Z. P. Bazˇant
Keyword(s):  
Sea Ice ◽  
Size Effect ◽  
Size Effects ◽  
Approximate Solutions ◽  
Maximum Force ◽  
Ice Thickness ◽  
Horizontal Load ◽  
Asymptotic Approach ◽  
Fracture Size ◽  
Fixed Structure

Continuing the analysis of fracture size effect in Part I, which was focused on the maximum force in vertical penetration of ice, Part II tackles the problem maximum force that can be applied by a moving ice plate on an obstacle presented by a fixed structure. Based on an asymptotic approach, approximate solutions for are obtained for the size effects of ice thickness, effective structure diameter and, in the case of a finite ice floe, the size of the floe.

scholarly journals THE ASYMPTOTICS OF THE CORRELATION FUNCTIONS IN (1+1)d QUANTUM FIELD THEORY FROM FINITE SIZE EFFECTS IN CONFORMAL THEORIES

1992 ◽  
Vol 07 (16) ◽  
pp. 3885-3909 ◽  
Author(s):  
A. MIRONOV ◽  
A. ZABRODIN
Keyword(s):  
Correlation Functions ◽  
Size Effects ◽  
Central Charge ◽  
Gaussian Model ◽  
Finite Size ◽  
Lattice Models ◽  
Thermodynamic Characteristics ◽  
Finite Size Effects ◽  
Nonlocal Operators ◽  
Exact Integrability

Using the finite-size effects, the scaling dimensions and correlation functions of the main operators in continuous and lattice models of 1d spinless Bose-gas with pairwise interaction of rather general form are obtained. The long-wave properties of these systems can be described by the Gaussian model with central charge c=1. The disorder operators of the extended Gaussian model are found to correspond to some nonlocal operators in the XXZ Heisenberg antiferromagnet. This same approach is applicable to fermionic systems. Scaling dimensions of operators and correlation functions in the systems of interacting Fermi-particles are obtained. We present a universal treatment for 1d systems of different kinds which is independent of the exact integrability and which gives universal expressions for critical exponents through the thermodynamic characteristics of the system.

scholarly journals Lattice models for granular-like velocity fields: finite-size effects

2016 ◽  
Vol 2016 (9) ◽  
pp. 093203 ◽  
Author(s):  
C A Plata ◽  
A Manacorda ◽  
A Lasanta ◽  
A Puglisi ◽  
A Prados
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Lattice Models ◽  
Velocity Fields ◽  
Finite Size Effects

Flexural strength and fracture size effects of pervious concrete

2016 ◽  
Vol 113 ◽  
pp. 536-543 ◽  
Author(s):  
Nicholas A. Brake ◽  
Hamid Allahdadi ◽  
Fatih Adam
Keyword(s):  
Flexural Strength ◽  
Size Effects ◽  
Pervious Concrete ◽  
Fracture Size

scholarly journals Numerical linked-cluster expansions for disordered lattice models

2019 ◽  
Vol 99 (20) ◽  
Author(s):  
M. D. Mulanix ◽  
Demetrius Almada ◽  
Ehsan Khatami
Keyword(s):  
Lattice Models ◽  
Cluster Expansions ◽  
Disordered Lattice

scholarly journals Fracture Size Effects in Nanoscale Materials: The Case of Graphene

2015 ◽  
Vol 4 (2) ◽  
Author(s):  
Alessandro Luigi Sellerio ◽  
Alessandro Taloni ◽  
Stefano Zapperi
Keyword(s):  
Size Effects ◽  
Nanoscale Materials ◽  
Fracture Size
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