Publication detail

Boundary Layer Effect on Behavior of Discrete Models

ELIÁŠ, J.

Original Title

Boundary Layer Effect on Behavior of Discrete Models

Type

journal article in Web of Science

Language

English

Original Abstract

The paper studies systems of rigid bodies with randomly generated geometry interconnected by normal and tangential bonds. The stiffness of these bonds determines the macroscopic elastic modulus while the macroscopic Poisson’s ratio of the system is determined solely by the normal/tangential stiffness ratio. Discrete models with no directional bias have the same probability of element orientation for any direction and therefore the same mechanical properties in a statistical sense at any point and direction. However, the layers of elements in the vicinity of the boundary exhibit biased orientation, preferring elements parallel with the boundary. As a consequence, when strain occurs in this direction, the boundary layer becomes stiffer than the interior for the normal/tangential stiffness ratio larger than one, and vice versa. Nonlinear constitutive laws are typically such that the straining of an element in shear results in higher strength and ductility than straining in tension. Since the boundary layer tends, due to the bias in the elemental orientation, to involve more tension than shear at the contacts, it also becomes weaker and less ductile. The paper documents these observations and compares them to the results of theoretical analysis.

Keywords

boundary layer; wall effect; discrete model; elasticity; fracture; concrete

Authors

ELIÁŠ, J.

Released

10. 2. 2017

Publisher

MDPI

ISBN

1996-1944

Periodical

Materials

Year of study

10

Number

2

State

Swiss Confederation

Pages from

1

Pages to

16

Pages count

16

URL

Full text in the Digital Library

BibTex

@article{BUT134896,
  author="Jan {Eliáš}",
  title="Boundary Layer Effect on Behavior of Discrete Models",
  journal="Materials",
  year="2017",
  volume="10",
  number="2",
  pages="1--16",
  doi="10.3390/ma10020157",
  issn="1996-1944",
  url="http://www.mdpi.com/1996-1944/10/2/157"
}