Phenomenological Analysis of Plastic Spherical IndentationSource: Journal of Engineering Materials and Technology:;1976:;volume( 098 ):;issue: 003::page 272Author:H. A. Francis
DOI: 10.1115/1.3443378Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Functional relationships describing the “expected” deformation behavior of a spherically indented surface are obtained by statistical analysis of published data. The representative strain εR of the indentation, the ratio ψ of mean contact pressure to representative flow stress YR (εR ), the shape of the interfacial pressure distribution p(r), the plastic boundary dimensions, and the displacement at the contact circumference can each be expressed, with specified precision, as functions of the altitude to base radius ratio h/b of the displaced spherical segment, the flow stress to Young’s modulus ratio YR /E (a measure of elastic strain capacity), and the Meyer index m (a measure of strain-hardening rate). Only εR and ψ are independent of m. Whereas εR = 0.43h/b, all other variables are predicted more precisely by φ = (h/b)/(YR /E) than by h/b. After plastic flow commences (φ = 1.15), ψ = 1.1 + 0.53 lnφ until φ = 27, beyond which ψ = 2.87. The extent of plastic flow during unloading can be predicted from p(r), which becomes flatter as φ and/or m increase.
keyword(s): Pressure , Flow (Dynamics) , Elasticity , Deformation , Dimensions , Stress , Accuracy , Displacement , Functions , Shapes , Statistical analysis AND Work hardening ,
|
Collections
Show full item record
contributor author | H. A. Francis | |
date accessioned | 2017-05-08T23:00:43Z | |
date available | 2017-05-08T23:00:43Z | |
date copyright | July, 1976 | |
date issued | 1976 | |
identifier issn | 0094-4289 | |
identifier other | JEMTA8-26847#272_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/88658 | |
description abstract | Functional relationships describing the “expected” deformation behavior of a spherically indented surface are obtained by statistical analysis of published data. The representative strain εR of the indentation, the ratio ψ of mean contact pressure to representative flow stress YR (εR ), the shape of the interfacial pressure distribution p(r), the plastic boundary dimensions, and the displacement at the contact circumference can each be expressed, with specified precision, as functions of the altitude to base radius ratio h/b of the displaced spherical segment, the flow stress to Young’s modulus ratio YR /E (a measure of elastic strain capacity), and the Meyer index m (a measure of strain-hardening rate). Only εR and ψ are independent of m. Whereas εR = 0.43h/b, all other variables are predicted more precisely by φ = (h/b)/(YR /E) than by h/b. After plastic flow commences (φ = 1.15), ψ = 1.1 + 0.53 lnφ until φ = 27, beyond which ψ = 2.87. The extent of plastic flow during unloading can be predicted from p(r), which becomes flatter as φ and/or m increase. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Phenomenological Analysis of Plastic Spherical Indentation | |
type | Journal Paper | |
journal volume | 98 | |
journal issue | 3 | |
journal title | Journal of Engineering Materials and Technology | |
identifier doi | 10.1115/1.3443378 | |
journal fristpage | 272 | |
journal lastpage | 281 | |
identifier eissn | 1528-8889 | |
keywords | Pressure | |
keywords | Flow (Dynamics) | |
keywords | Elasticity | |
keywords | Deformation | |
keywords | Dimensions | |
keywords | Stress | |
keywords | Accuracy | |
keywords | Displacement | |
keywords | Functions | |
keywords | Shapes | |
keywords | Statistical analysis AND Work hardening | |
tree | Journal of Engineering Materials and Technology:;1976:;volume( 098 ):;issue: 003 | |
contenttype | Fulltext |