Planar problem of stability loss under stretching

Zbigniew Wesołowski

Aplikace matematiky (1965)

  • Volume: 10, Issue: 1, page 1-14
  • ISSN: 0862-7940


The stability of a parallelepiped subjected to finite stretching is investigated. The materials is assumed to be elastic an orthotropic, with arbitrary non-linear physical properties. The deformation is divided into two parts: a finite initial deformation and a small additional deformation. All the relations which correspod to the additional deformation are linearized. After expanding the additional displacements into series, an ordinary differential equation with corresponding boundary conditions is obtained. Eigenvalues of this boundary problem are the sought-for critical elongations. It is proved that in the case, when the length of the parallelepiped tends to infinity, loss of stability occurs when the stretching force attains its maximum.

How to cite


Wesołowski, Zbigniew. "Rovinný problém ztráty stability v tahu." Aplikace matematiky 10.1 (1965): 1-14. <>.

author = {Wesołowski, Zbigniew},
journal = {Aplikace matematiky},
keywords = {mechanics of solids},
language = {cze},
number = {1},
pages = {1-14},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Rovinný problém ztráty stability v tahu},
url = {},
volume = {10},
year = {1965},

AU - Wesołowski, Zbigniew
TI - Rovinný problém ztráty stability v tahu
JO - Aplikace matematiky
PY - 1965
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 10
IS - 1
SP - 1
EP - 14
LA - cze
KW - mechanics of solids
UR -
ER -


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