Nucleation phenomena in an annealed damage model: Statistics of times to failure

S. G. Abaimov, Joseph Paul Cusumano

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper we investigate the statistical behavior of an annealed continuous damage model. For different model variations we study distributions of times to failure and compare these results with the classical case of metastable nucleation in statistical physics. We show that our model has a tuning parameter, related to the degree of damage reversibility, that determines the model's behavior. Depending on the value of this parameter, our model exhibits statistical behavior either similar to classical reversible nucleation phenomena in statistical physics or to an absolutely different type of behavior intrinsic to systems with damage. This comparison allows us to investigate possible similarities and differences between damage phenomena and reversible nucleation.

Original languageEnglish (US)
Article number062401
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume90
Issue number6
DOIs
StatePublished - Dec 1 2014

Fingerprint

Nucleation
Damage
statistics
nucleation
damage
Statistics
Statistical Physics
physics
Model
Reversibility
Parameter Tuning
tuning

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

@article{d9c29f161231430ebabaedbd89cba664,
title = "Nucleation phenomena in an annealed damage model: Statistics of times to failure",
abstract = "In this paper we investigate the statistical behavior of an annealed continuous damage model. For different model variations we study distributions of times to failure and compare these results with the classical case of metastable nucleation in statistical physics. We show that our model has a tuning parameter, related to the degree of damage reversibility, that determines the model's behavior. Depending on the value of this parameter, our model exhibits statistical behavior either similar to classical reversible nucleation phenomena in statistical physics or to an absolutely different type of behavior intrinsic to systems with damage. This comparison allows us to investigate possible similarities and differences between damage phenomena and reversible nucleation.",
author = "Abaimov, {S. G.} and Cusumano, {Joseph Paul}",
year = "2014",
month = "12",
day = "1",
doi = "10.1103/PhysRevE.90.062401",
language = "English (US)",
volume = "90",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "6",

}

TY - JOUR

T1 - Nucleation phenomena in an annealed damage model

T2 - Statistics of times to failure

AU - Abaimov, S. G.

AU - Cusumano, Joseph Paul

PY - 2014/12/1

Y1 - 2014/12/1

N2 - In this paper we investigate the statistical behavior of an annealed continuous damage model. For different model variations we study distributions of times to failure and compare these results with the classical case of metastable nucleation in statistical physics. We show that our model has a tuning parameter, related to the degree of damage reversibility, that determines the model's behavior. Depending on the value of this parameter, our model exhibits statistical behavior either similar to classical reversible nucleation phenomena in statistical physics or to an absolutely different type of behavior intrinsic to systems with damage. This comparison allows us to investigate possible similarities and differences between damage phenomena and reversible nucleation.

AB - In this paper we investigate the statistical behavior of an annealed continuous damage model. For different model variations we study distributions of times to failure and compare these results with the classical case of metastable nucleation in statistical physics. We show that our model has a tuning parameter, related to the degree of damage reversibility, that determines the model's behavior. Depending on the value of this parameter, our model exhibits statistical behavior either similar to classical reversible nucleation phenomena in statistical physics or to an absolutely different type of behavior intrinsic to systems with damage. This comparison allows us to investigate possible similarities and differences between damage phenomena and reversible nucleation.

UR - http://www.scopus.com/inward/record.url?scp=84918582294&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84918582294&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.90.062401

DO - 10.1103/PhysRevE.90.062401

M3 - Article

C2 - 25615106

AN - SCOPUS:84918582294

VL - 90

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 6

M1 - 062401

ER -