ISSN:
1573-2703
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Technology
Notes:
Summary A kinematic description is derived for plane strain deformations of unrestricted amplitude in an incompressible material ideally reinforced parallel to one axis of Lagrangian coordinates. The deformation is simply related to the configuration of one reference ‘fibre’. For a slab of uniform thickness, equations of motion are derived by integration over cross-sections. They relate the motion of the central fibre to the resultant tensile and shearing loads over each cross section. The equations predict that, in many materials, flexural waves may propagate. In this paper only elastic materials are considered. The simple wave solutions are discussed, showing how wave profiles may distort until a ‘crease’ forms at one surface of the slab. These creases play a role somewhat similar to shocks in gas dynamics. Some novel differences are revealed by an analysis of the equations governing deformations on either side of a crease.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00042865
