# Spherical cavity-expansion forcing function in PRONTO 3D for application to penetration problems

## Abstract

In certain penetration events the primary mode of deformation of the target can be approximated by known analytical expressions. In the context of an analysis code, this approximation eliminates the need for modeling the target as well as the need for a contact algorithm. This technique substantially reduces execution time. In this spirit, a forcing function which is derived from a spherical-cavity expansion analysis has been implemented in PRONTO 3D. This implementation is capable of computing the structural and component responses of a projectile due to three dimensional penetration events. Sample problems demonstrate good agreement with experimental and analytical results.

- Authors:

- Publication Date:

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

- Sponsoring Org.:
- USDOE, Washington, DC (United States)

- OSTI Identifier:
- 481577

- Report Number(s):
- SAND-97-1174

ON: DE97007442; TRN: AHC29712%%120

- DOE Contract Number:
- AC04-94AL85000

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: May 1997

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 45 MILITARY TECHNOLOGY, WEAPONRY, AND NATIONAL DEFENSE; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; PENETRATORS; P CODES; DEFORMATION; TARGETS; RESPONSE FUNCTIONS; PROJECTILES; FINITE ELEMENT METHOD; IMPACT SHOCK

### Citation Formats

```
Warren, T L, and Tabbara, M R.
```*Spherical cavity-expansion forcing function in PRONTO 3D for application to penetration problems*. United States: N. p., 1997.
Web. doi:10.2172/481577.

```
Warren, T L, & Tabbara, M R.
```*Spherical cavity-expansion forcing function in PRONTO 3D for application to penetration problems*. United States. doi:10.2172/481577.

```
Warren, T L, and Tabbara, M R. Thu .
"Spherical cavity-expansion forcing function in PRONTO 3D for application to penetration problems". United States. doi:10.2172/481577. https://www.osti.gov/servlets/purl/481577.
```

```
@article{osti_481577,
```

title = {Spherical cavity-expansion forcing function in PRONTO 3D for application to penetration problems},

author = {Warren, T L and Tabbara, M R},

abstractNote = {In certain penetration events the primary mode of deformation of the target can be approximated by known analytical expressions. In the context of an analysis code, this approximation eliminates the need for modeling the target as well as the need for a contact algorithm. This technique substantially reduces execution time. In this spirit, a forcing function which is derived from a spherical-cavity expansion analysis has been implemented in PRONTO 3D. This implementation is capable of computing the structural and component responses of a projectile due to three dimensional penetration events. Sample problems demonstrate good agreement with experimental and analytical results.},

doi = {10.2172/481577},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1997},

month = {5}

}

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