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Computational Methods for Debonding in Composites

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Chapter 3<br />

Practical Challenges <strong>in</strong> Formulat<strong>in</strong>g Virtual<br />

Tests <strong>for</strong> Structural <strong>Composites</strong><br />

Brian N. Cox, S. Mark Spear<strong>in</strong>g, and Daniel R. Mumm<br />

Abstract Tak<strong>in</strong>g advantage of major recent advances <strong>in</strong> computational methods and<br />

the conceptual representation of failure mechanisms, the model<strong>in</strong>g community is<br />

build<strong>in</strong>g <strong>in</strong>creas<strong>in</strong>gly realistic models of damage evolution <strong>in</strong> structural composites.<br />

The goal of virtual tests appears to be reachable, <strong>in</strong> which most (but not all) real<br />

experimental tests can be replaced by high fidelity computer simulations. The payoff<br />

<strong>in</strong> reduced cycle time and costs <strong>for</strong> design<strong>in</strong>g and certify<strong>in</strong>g composite structures is<br />

very attractive; and the possibility also arises of consider<strong>in</strong>g material configurations<br />

that are too complex to certify by purely empirical methods. However, major challenges<br />

rema<strong>in</strong>, the <strong>for</strong>emost be<strong>in</strong>g the <strong>for</strong>mal l<strong>in</strong>k<strong>in</strong>g of the many discipl<strong>in</strong>es that<br />

must be <strong>in</strong>volved <strong>in</strong> creat<strong>in</strong>g a function<strong>in</strong>g virtual test. Far more than be<strong>in</strong>g merely<br />

a computational simulation, a virtual test must be a system of hierarchical models,<br />

eng<strong>in</strong>eer<strong>in</strong>g tests, and specialized laboratory experiments, organized to address the<br />

assurance of fidelity by applications of <strong>in</strong><strong>for</strong>mation science, model-based statistical<br />

analysis, and decision theory. The virtual test must be structured so that it can<br />

function usefully at current levels of knowledge, while cont<strong>in</strong>ually evolv<strong>in</strong>g as new<br />

theories and experimental methods enable more ref<strong>in</strong>ed depictions of damage.<br />

To achieve the first generation of a virtual test system, we must pay special attention<br />

to unresolved questions relat<strong>in</strong>g to the l<strong>in</strong>k<strong>in</strong>g of theory and experiment: how<br />

can we assure that damage models address all important mechanisms, how can we<br />

calibrate the material properties embedded <strong>in</strong> the models, and what constitutes sufficient<br />

validation of model predictions? The virtual test def<strong>in</strong>ition must <strong>in</strong>clude real<br />

tests that are designed <strong>in</strong> such a way as to be rich <strong>in</strong> the <strong>in</strong><strong>for</strong>mation needed to<br />

B.N. Cox<br />

Teledyne Scientific Co., LLC, 1049 Cam<strong>in</strong>o Dos Rios, Thousand Oaks, CA 91360, United States<br />

of America, e-mail: bcox@teledyne.com<br />

S.M. Spear<strong>in</strong>g<br />

School of Eng<strong>in</strong>eer<strong>in</strong>g Sciences, University of Southampton, Southampton, SO17 1BJ, United<br />

K<strong>in</strong>gdom, e-mail: spear<strong>in</strong>g@soton.ac.uk<br />

D.R. Mumm<br />

University of Cali<strong>for</strong>nia, Irv<strong>in</strong>e, CA, United States of America, e-mail: mumm@uci.edu<br />

57

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