Indentation of the semi-infinite elastic solid by a concave rigid punch
โ Scribed by J. R. Barber
- Publisher
- Springer Netherlands
- Year
- 1976
- Tongue
- English
- Weight
- 455 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0374-3535
No coin nor oath required. For personal study only.
โฆ Synopsis
A solution is obtained for the relationship between load, displacement and inner contact radius for an axisymmetric, spherically concave, rigid punch, indenting an elastic half-space. Analytic approximations are developed for the limiting cases in which the ratio of the inner and outer radii of the annular contact region is respectively small and close to unity. These approximations overlap well at intermediate values.
The same method is applied to the conically concave punch and to a punch with a central hole.
ABCTPAKT
HonyqeHo pemeHEe ~nH B3aEM00TH0meHEH Me~y 3arpy3E0~ cue~eHHe~ ~ BHyTReHH~Z pa~yCOM EOHTaKTa ~n2 aK0ZCHMMeTpEqH0r0 c~epEqHO BorHyTOr0 :~eCTKOr0 npog0~HHKa~ B~aBnzBa~eroc~ Ha ynpyr0M nonynpocTpaHcTBe. AHanETEqeoKHe HpEgnE~eHHH paaB~BamTc~ ~n~ npe~en~HEX cnyqaeB, Korea 0THOmeHEe BHyTpeHHHX ~ BHemHHX pa~yC0B KO~eBOrO pa~oHa KOHTaKTa ~nH MaYO E~H ~nHSKO K e~EHK~e. 3T~ npH6nE~eHzs xopomo coBna~a~T npE np0:~e~TO~HMX SHa~eHE~X.
๐ SIMILAR VOLUMES
In this paper, the problem of two-dimensional oscillations of four rigid strips, situated on a homogeneous isotropic semi-infinite elastic solid and forced by a specified normal component of the displacement has been considered. The mixed boundary value problem of determining the unknown stress dist