๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The elastic sphere under nonsymmetric loading

โœ Scribed by H. B. McClung

Publisher
Springer Netherlands
Year
1989
Tongue
English
Weight
707 KB
Volume
21
Category
Article
ISSN
0374-3535

No coin nor oath required. For personal study only.

โœฆ Synopsis

Existing solutions to boundary value problems arising from an elastic sphere subjected to a body force have been primarily restricted to axisymmetric, conservative loading. In this paper, a method for solving the displacement equations governing the static equilibrium of an elastic sphere subjected to an arbitrary body force and surface displacement is presented. The solutions are obtained in terms of three vector spherical harmonics and expressions for the displacement and stress fields are presented. Additionally, a short discussion indicating extension of these solutions to dynamic problems is included.

๐Ÿ“œ SIMILAR VOLUMES

The elastic sphere under arbitrary conce
The elastic sphere under arbitrary concentrated surface loads
โœ I. Guerrero; M. J. Turteltaub ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 607 KB

The elastostatic problem of a sphere subject to a concentrated surface load of arbitrary direction which is equilibrated in a very simple manner by a distribution of surface tractions is solved. Particular attention is placed in the analysis of the singularity at the point of application of the conc

Crack kinking under nonsymmetric loading
Crack kinking under nonsymmetric loading
โœ B.L. Karihaloo; L.M. Keer; S. Nemat-Nasser ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 803 KB

This paper considers an asymmetrically kinked, semi-infinite crack in a two-dimensional solid under mixed-mode loading and a stress acting parallel to the main crack, the latter providing the non-singular stress term, T, in the Irwin-Williams expansion of the crack tip field. The aim of the study is

Cracked elastic layer under compressive
Cracked elastic layer under compressive mechanical loads
โœ V. Makaryan; M. Sutton; D. Hasanyan; X. Deng ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 529 KB

We consider boundary value problem in which an elastic layer containing a finite length crack is under compressive loading. The crack is parallel to the layer surfaces and the contact between crack surfaces are either frictionless or with adhesive friction or Coulomb friction. Based on fourier inte