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
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

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume8

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

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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 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 8). American Society of Mechanical Engineers. https://doi.org/10.1115/DETC2013-12069