The asymptotic behavior of doubly periodic strain states (Q1064113)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The asymptotic behavior of doubly periodic strain states |
scientific article; zbMATH DE number 3919924
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The asymptotic behavior of doubly periodic strain states |
scientific article; zbMATH DE number 3919924 |
Statements
The asymptotic behavior of doubly periodic strain states (English)
0 references
1986
0 references
The asymptotic behavior of the doubly periodic strain state on a three- dimensional body is discussed. The components of the elastic state are initially assumed to be bounded by an arbitrary polynomial. It is then shown that the components can be approximated by second degree polynomials whose coefficients can be readily computed from data generally available in such problems. The error in using the approximation at different points in the elastic body is on the order of the reciprocal of any polynomial of the distance to the boundary of the body.
0 references
main result as strong version of Saint-Venant's principle
0 references
components of elastic states rapidly approach fixed ''values''
0 references
quadratic functions
0 references
components measured at increasing distances from boundary of domain
0 references
asymptotic behavior
0 references
doubly periodic strain state
0 references
three-dimensional body
0 references
components of the elastic state
0 references
bounded by an arbitrary polynomial
0 references
approximated by second degree polynomials
0 references
0 references
0 references
