# Viscoelastic material inversion using Sierra-SD and ROL

## Abstract

In this report we derive frequency-domain methods for inverse characterization of the constitutive parameters of viscoelastic materials. The inverse problem is cast in a PDE-constrained optimization framework with efficient computation of gradients and Hessian vector products through matrix free operations. The abstract optimization operators for first and second derivatives are derived from first principles. Various methods from the Rapid Optimization Library (ROL) are tested on the viscoelastic inversion problem. The methods described herein are applied to compute the viscoelastic bulk and shear moduli of a foam block model, which was recently used in experimental testing for viscoelastic property characterization.

- Authors:

- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

- Publication Date:

- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)

- Contributing Org.:
- Duke University

- OSTI Identifier:
- 1322276

- Report Number(s):
- SAND2014-19498

562155

- DOE Contract Number:
- AC04-94AL85000

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 36 MATERIALS SCIENCE

### Citation Formats

```
Walsh, Timothy, Aquino, Wilkins, Ridzal, Denis, Kouri, Drew Philip, van Bloemen Waanders, Bart Gustaaf, and Urbina, Angel.
```*Viscoelastic material inversion using Sierra-SD and ROL*. United States: N. p., 2014.
Web. doi:10.2172/1322276.

```
Walsh, Timothy, Aquino, Wilkins, Ridzal, Denis, Kouri, Drew Philip, van Bloemen Waanders, Bart Gustaaf, & Urbina, Angel.
```*Viscoelastic material inversion using Sierra-SD and ROL*. United States. doi:10.2172/1322276.

```
Walsh, Timothy, Aquino, Wilkins, Ridzal, Denis, Kouri, Drew Philip, van Bloemen Waanders, Bart Gustaaf, and Urbina, Angel. Sat .
"Viscoelastic material inversion using Sierra-SD and ROL". United States. doi:10.2172/1322276. https://www.osti.gov/servlets/purl/1322276.
```

```
@article{osti_1322276,
```

title = {Viscoelastic material inversion using Sierra-SD and ROL},

author = {Walsh, Timothy and Aquino, Wilkins and Ridzal, Denis and Kouri, Drew Philip and van Bloemen Waanders, Bart Gustaaf and Urbina, Angel},

abstractNote = {In this report we derive frequency-domain methods for inverse characterization of the constitutive parameters of viscoelastic materials. The inverse problem is cast in a PDE-constrained optimization framework with efficient computation of gradients and Hessian vector products through matrix free operations. The abstract optimization operators for first and second derivatives are derived from first principles. Various methods from the Rapid Optimization Library (ROL) are tested on the viscoelastic inversion problem. The methods described herein are applied to compute the viscoelastic bulk and shear moduli of a foam block model, which was recently used in experimental testing for viscoelastic property characterization.},

doi = {10.2172/1322276},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2014},

month = {11}

}

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