A numerical averaging algorithm for rapid simulation of multiscale damage dynamics

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study the nonlinear dynamics of damage evolution under periodic loading using a new numerical approach based on the method of averaging. The algorithm can reduce the computational time required for multiscale life-cycle simulations by many orders of magnitude. We use the algorithm to study a previously-developed finite element multiscale continuum damage model, and derive an approximate autonomous rate law for the damage elements. This permits us to efficiently study spacetime failure statistics using large ensembles of simulations starting from random initial damage states. The algorithm derivation and simulations illustrate how increased dynamical brittleness reduces the need for higher-order damage terms in the rate laws. We show how localized initial damage gives rise to lowdimensional autonomous rate laws: the geometry of the resulting averaged damage phase space can be used understand the likelihood of different failure modes.

Original languageEnglish (US)
Title of host publication22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise
PublisherAmerican Society of Mechanical Engineers
Volume8
ISBN (Print)9780791855997
DOIs
StatePublished - Jan 1 2013
EventASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2013 - Portland, OR, United States
Duration: Aug 4 2013Aug 7 2013

Other

OtherASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2013
CountryUnited States
CityPortland, OR
Period8/4/138/7/13

Fingerprint

Averaging
Damage
Simulation
Brittleness
Failure modes
Life cycle
Statistics
Geometry
Failure Mode
Life Cycle
Nonlinear Dynamics
Phase Space
Likelihood
Ensemble
Continuum
Space-time
Higher Order
Finite Element
Term

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

Cite this

Roy, A., & Cusumano, J. P. (2013). A numerical averaging algorithm for rapid simulation of multiscale damage dynamics. In 22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise (Vol. 8). American Society of Mechanical Engineers. https://doi.org/10.1115/DETC2013-12069
Roy, Arjun ; Cusumano, Joseph Paul. / A numerical averaging algorithm for rapid simulation of multiscale damage dynamics. 22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise. Vol. 8 American Society of Mechanical Engineers, 2013.
@inproceedings{192e8e95483e4fdb8cf4fa3a964b5e38,
title = "A numerical averaging algorithm for rapid simulation of multiscale damage dynamics",
abstract = "We study the nonlinear dynamics of damage evolution under periodic loading using a new numerical approach based on the method of averaging. The algorithm can reduce the computational time required for multiscale life-cycle simulations by many orders of magnitude. We use the algorithm to study a previously-developed finite element multiscale continuum damage model, and derive an approximate autonomous rate law for the damage elements. This permits us to efficiently study spacetime failure statistics using large ensembles of simulations starting from random initial damage states. The algorithm derivation and simulations illustrate how increased dynamical brittleness reduces the need for higher-order damage terms in the rate laws. We show how localized initial damage gives rise to lowdimensional autonomous rate laws: the geometry of the resulting averaged damage phase space can be used understand the likelihood of different failure modes.",
author = "Arjun Roy and Cusumano, {Joseph Paul}",
year = "2013",
month = "1",
day = "1",
doi = "10.1115/DETC2013-12069",
language = "English (US)",
isbn = "9780791855997",
volume = "8",
booktitle = "22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise",
publisher = "American Society of Mechanical Engineers",

}

Roy, A & Cusumano, JP 2013, A numerical averaging algorithm for rapid simulation of multiscale damage dynamics. in 22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise. vol. 8, American Society of Mechanical Engineers, ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2013, Portland, OR, United States, 8/4/13. https://doi.org/10.1115/DETC2013-12069

A numerical averaging algorithm for rapid simulation of multiscale damage dynamics. / Roy, Arjun; Cusumano, Joseph Paul.

22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise. Vol. 8 American Society of Mechanical Engineers, 2013.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - A numerical averaging algorithm for rapid simulation of multiscale damage dynamics

AU - Roy, Arjun

AU - Cusumano, Joseph Paul

PY - 2013/1/1

Y1 - 2013/1/1

N2 - We study the nonlinear dynamics of damage evolution under periodic loading using a new numerical approach based on the method of averaging. The algorithm can reduce the computational time required for multiscale life-cycle simulations by many orders of magnitude. We use the algorithm to study a previously-developed finite element multiscale continuum damage model, and derive an approximate autonomous rate law for the damage elements. This permits us to efficiently study spacetime failure statistics using large ensembles of simulations starting from random initial damage states. The algorithm derivation and simulations illustrate how increased dynamical brittleness reduces the need for higher-order damage terms in the rate laws. We show how localized initial damage gives rise to lowdimensional autonomous rate laws: the geometry of the resulting averaged damage phase space can be used understand the likelihood of different failure modes.

AB - We study the nonlinear dynamics of damage evolution under periodic loading using a new numerical approach based on the method of averaging. The algorithm can reduce the computational time required for multiscale life-cycle simulations by many orders of magnitude. We use the algorithm to study a previously-developed finite element multiscale continuum damage model, and derive an approximate autonomous rate law for the damage elements. This permits us to efficiently study spacetime failure statistics using large ensembles of simulations starting from random initial damage states. The algorithm derivation and simulations illustrate how increased dynamical brittleness reduces the need for higher-order damage terms in the rate laws. We show how localized initial damage gives rise to lowdimensional autonomous rate laws: the geometry of the resulting averaged damage phase space can be used understand the likelihood of different failure modes.

UR - http://www.scopus.com/inward/record.url?scp=84896929831&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84896929831&partnerID=8YFLogxK

U2 - 10.1115/DETC2013-12069

DO - 10.1115/DETC2013-12069

M3 - Conference contribution

SN - 9780791855997

VL - 8

BT - 22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise

PB - American Society of Mechanical Engineers

ER -

Roy A, Cusumano JP. A numerical averaging algorithm for rapid simulation of multiscale damage dynamics. In 22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise. Vol. 8. American Society of Mechanical Engineers. 2013 https://doi.org/10.1115/DETC2013-12069