Breakdown of disordered media by surface loads
(2005) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 72(3).- Abstract
- We model an interface layer connecting two parts of a solid body by N parallel elastic springs connecting two rigid blocks. We load the system by a shear force acting on the top side. The springs have equal stiffness but are ruptured randomly when the load reaches a critical value. For the considered system, we calculate the shear modulus G as a function of the order parameter phi describing the state of damage, and also the "spalled" material (burst) size distribution. In particular, we evaluate the relation between the damage parameter and the applied force and explore the behavior in the vicinity of material breakdown. Using this simple model for material breakdown, we show that damage, caused by applied shear forces, is analogous to a... (More)
- We model an interface layer connecting two parts of a solid body by N parallel elastic springs connecting two rigid blocks. We load the system by a shear force acting on the top side. The springs have equal stiffness but are ruptured randomly when the load reaches a critical value. For the considered system, we calculate the shear modulus G as a function of the order parameter phi describing the state of damage, and also the "spalled" material (burst) size distribution. In particular, we evaluate the relation between the damage parameter and the applied force and explore the behavior in the vicinity of material breakdown. Using this simple model for material breakdown, we show that damage, caused by applied shear forces, is analogous to a first-order phase transition. The scaling behavior of G with phi is explored analytically and numerically, close to phi=0 and phi=1 and in the vicinity of phi(c), when the shear load is close to but below the threshold force that causes material breakdown. Our model calculation represents a first approximation of a system subject to wear induced loads. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/221274
- author
- Knudsen, Jakob LU and Massih, A R
- organization
- publishing date
- 2005
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
- volume
- 72
- issue
- 3
- publisher
- American Physical Society
- external identifiers
-
- wos:000232227800037
- scopus:28844502820
- pmid:16241537
- ISSN
- 1539-3755
- DOI
- 10.1103/PhysRevE.72.036129
- language
- English
- LU publication?
- yes
- id
- 9e88a072-1a1c-4fb2-86e7-7be4548c2771 (old id 221274)
- date added to LUP
- 2016-04-01 11:35:04
- date last changed
- 2022-01-26 07:20:37
@article{9e88a072-1a1c-4fb2-86e7-7be4548c2771,
abstract = {{We model an interface layer connecting two parts of a solid body by N parallel elastic springs connecting two rigid blocks. We load the system by a shear force acting on the top side. The springs have equal stiffness but are ruptured randomly when the load reaches a critical value. For the considered system, we calculate the shear modulus G as a function of the order parameter phi describing the state of damage, and also the "spalled" material (burst) size distribution. In particular, we evaluate the relation between the damage parameter and the applied force and explore the behavior in the vicinity of material breakdown. Using this simple model for material breakdown, we show that damage, caused by applied shear forces, is analogous to a first-order phase transition. The scaling behavior of G with phi is explored analytically and numerically, close to phi=0 and phi=1 and in the vicinity of phi(c), when the shear load is close to but below the threshold force that causes material breakdown. Our model calculation represents a first approximation of a system subject to wear induced loads.}},
author = {{Knudsen, Jakob and Massih, A R}},
issn = {{1539-3755}},
language = {{eng}},
number = {{3}},
publisher = {{American Physical Society}},
series = {{Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}},
title = {{Breakdown of disordered media by surface loads}},
url = {{http://dx.doi.org/10.1103/PhysRevE.72.036129}},
doi = {{10.1103/PhysRevE.72.036129}},
volume = {{72}},
year = {{2005}},
}