Quantification of Saint-Venant's principle for a general prismatic member
โ Scribed by D.B. Goetschel; T.H. Hu
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 567 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0045-7949
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For a helical body made of a linear piezoelectric material and loaded at one end only by a system of self-equilibrated forces, it is shown that the strain energy stored in the part of the body distant at least s from the loaded end decreases exponentially with the distance s.
The boundary problems for an elastic wedge and a cone in statics and dynamics are investigated with special emphasis on Saint Venant's principle. The exact analytical solutions are obtained by integral transform technique and the far-field asymptotics is obtained.
A semi-infinite prismatic cylinder composed of a linear anisotropic classical elastic material is in equilibrium under zero body force and either zero displacement or zero traction on the lateral boundary. The elastic moduli become perturbed. Under suitable conditions on the base load decay estimate