# Foundations of statistical crack mechanics

## Abstract

The principle of superposition of elastic and plactic strain rates in regions of plastic flow was hypothesized by Reuss in order to provide a smooth transition of the stresses between regions of elastic and elastic-plastic deformation. In this paper a generalization of this hypothesis is derived which allows for the formulation of more complex constitutive laws that can account for simultaneous plastic flow, fracture, fragmentation, and changes in porosity. Such processes can occur during impact, explosions and earthquakes. The possibility of analyzing such processes by finite element methods has been made possible by the advent of large scale computers, but most practioners agree that more general constitutive laws are required to account adequately for the complex flow processes involved.

- Authors:

- Publication Date:

- Research Org.:
- Los Alamos National Lab., NM (USA)

- OSTI Identifier:
- 5796085

- Report Number(s):
- LA-UR-85-3264; CONF-860616-5

ON: DE86000764

- DOE Contract Number:
- W-7405-ENG-36

- Resource Type:
- Conference

- Resource Relation:
- Conference: International symposium on intense dynamic loading and its effects, Beijing, China, 3 Jun 1986; Other Information: Portions of this document are illegible in microfiche products

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; STRAINS; COMPUTERIZED SIMULATION; CRACKS; FINITE ELEMENT METHOD; NUMERICAL SOLUTION; SIMULATION; 657001* - Theoretical Physics- General & Miscellaneous- (-1987); 658000 - Mathematical Physics- (-1987)

### Citation Formats

```
Dienes, J K.
```*Foundations of statistical crack mechanics*. United States: N. p., 1986.
Web.

```
Dienes, J K.
```*Foundations of statistical crack mechanics*. United States.

```
Dienes, J K. Wed .
"Foundations of statistical crack mechanics". United States. https://www.osti.gov/servlets/purl/5796085.
```

```
@article{osti_5796085,
```

title = {Foundations of statistical crack mechanics},

author = {Dienes, J K},

abstractNote = {The principle of superposition of elastic and plactic strain rates in regions of plastic flow was hypothesized by Reuss in order to provide a smooth transition of the stresses between regions of elastic and elastic-plastic deformation. In this paper a generalization of this hypothesis is derived which allows for the formulation of more complex constitutive laws that can account for simultaneous plastic flow, fracture, fragmentation, and changes in porosity. Such processes can occur during impact, explosions and earthquakes. The possibility of analyzing such processes by finite element methods has been made possible by the advent of large scale computers, but most practioners agree that more general constitutive laws are required to account adequately for the complex flow processes involved.},

doi = {},

url = {https://www.osti.gov/biblio/5796085},
journal = {},

number = ,

volume = ,

place = {United States},

year = {1986},

month = {1}

}