| Title:
|
On integration of differential equations in elastostatics through determination of the mean stress (English) |
| Author:
|
Golecki, Joseph J. |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
19 |
| Issue:
|
5 |
| Year:
|
1974 |
| Pages:
|
293-306 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The presented method of integration of differential equations in elastostatics - the so-called menas-stress approach - yields a solution dependent on the elastic parameters and the topology of the body, and accordingly directly affected by Poisson's ratio: for example, the assumption of incompressibility $(v=\frac{1}{2})$ transforms its component Poisson's equation into a harmonic equation. Moreover, the solution for a multiply-connected region has to satisfy additional conditions depending inter alia on the geometry of the latter. These conditions ensure a single-valued mean normal stress. () |
| MSC:
|
35Q99 |
| MSC:
|
74B99 |
| idZBL:
|
Zbl 0314.73017 |
| idMR:
|
MR0366160 |
| DOI:
|
10.21136/AM.1974.103546 |
| . |
| Date available:
|
2008-05-20T17:59:36Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103546 |
| . |
| Reference:
|
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