@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 P.}",
year = "2013",
doi = "10.1115/DETC2013-12069",
language = "English (US)",
isbn = "9780791855997",
series = "Proceedings of the ASME Design Engineering Technical Conference",
publisher = "American Society of Mechanical Engineers",
booktitle = "22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise",
note = "ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2013 ; Conference date: 04-08-2013 Through 07-08-2013",
}