# On the application of generic BE substructuring algorithm to analyze three-dimensional composite materials

## Abstract

A generic 3-D boundary-element substructuring algorithm, based on iterative solvers, is applied to solve problems involving composite materials. The substructuring technique is optimal regarding memory requirements for storing the resulting sparse matrices, and its efficiency is increased by implementing structured matrix-vector products in the built-in Krylov solver. Moreover, special integration techniques are employed to effect the modeling of thin-walled parts of the composites, such as thin layers or reinforcing elements. To test the performance of the algorithm, effective mechanical properties of carbon-nanotube-reinforced composites are estimated by analyzing representative volume elements. The advantages of the coupling algorithm for developing parallel BE codes are also highlighted.

- Authors:

- ORNL

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Center for Computational Sciences

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 979076

- DOE Contract Number:
- DE-AC05-00OR22725

- Resource Type:
- Conference

- Resource Relation:
- Conference: 18th Engineering Mechanics Division Conference (EMD2007) for the American Society of Civil Engineers, Blacksburg, VA, USA, 20070603, 20070606

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 36 MATERIALS SCIENCE; ALGORITHMS; COMPOSITE MATERIALS; EFFICIENCY; ENGINEERS; MATRICES; MECHANICAL PROPERTIES; PERFORMANCE; SIMULATION; substructuring algorithm; composite materials; 3-D analysis

### Citation Formats

```
De Araujo, Francisco Celio.
```*On the application of generic BE substructuring algorithm to analyze three-dimensional composite materials*. United States: N. p., 2007.
Web.

```
De Araujo, Francisco Celio.
```*On the application of generic BE substructuring algorithm to analyze three-dimensional composite materials*. United States.

```
De Araujo, Francisco Celio. Mon .
"On the application of generic BE substructuring algorithm to analyze three-dimensional composite materials". United States.
doi:.
```

```
@article{osti_979076,
```

title = {On the application of generic BE substructuring algorithm to analyze three-dimensional composite materials},

author = {De Araujo, Francisco Celio},

abstractNote = {A generic 3-D boundary-element substructuring algorithm, based on iterative solvers, is applied to solve problems involving composite materials. The substructuring technique is optimal regarding memory requirements for storing the resulting sparse matrices, and its efficiency is increased by implementing structured matrix-vector products in the built-in Krylov solver. Moreover, special integration techniques are employed to effect the modeling of thin-walled parts of the composites, such as thin layers or reinforcing elements. To test the performance of the algorithm, effective mechanical properties of carbon-nanotube-reinforced composites are estimated by analyzing representative volume elements. The advantages of the coupling algorithm for developing parallel BE codes are also highlighted.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Mon Jan 01 00:00:00 EST 2007},

month = {Mon Jan 01 00:00:00 EST 2007}

}