Unusual nonlinear response of some metallic materials

Christopher M. Gil, Clifford Jesse Lissenden, III, Bradley A. Lerch

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

An anomalous material response has been observed under the action of compressive loads in fibrous silicon carbide/titanium (both Ti-6242 and Ti-15-3 alloys) and the nickel-base alloy Inconel 718 in the aged (precipitation hardened) condition. The observed behavior is an increase, rather than a decrease, in the instantaneous Young's modulus with increasing load and is referred to as stiffening. This increase is small, but can be significant in yield surface tests where an equivalent offset strain on the order of 10 με (10×10-6 m/m) is being used. Stiffening has been quantified by calculating offset strains from the linear elastic loading line. The offset strains associated with stiffening during compressive loading are positive and of the same order as the target offset strains in yield surface tests. Stiffening appears to be nonlinear elastic and for SiC/Ti-15-3 decreases as the test temperature increases, suggesting a temperature-dependent mechanism. No stiffening occurred in SiC/Ti-15-3 above approximately 500 °C. In addition, the tensile response of aged Inconel 718 exhibits a nonlinear elastic response (not stiffening) prior to the initiation of plastic deformation. The nonlinear elastic response in both tension and compression agrees with a second order stress-strain relation. The higher order terms may be important due to constraint interactions associated with a strengthening second phase such as precipitates or fibers.

Original languageEnglish (US)
Pages (from-to)565-577
Number of pages13
JournalMechanics of Materials
Volume31
Issue number9
DOIs
StatePublished - Jan 1 1999

Fingerprint

stiffening
Inconel (trademark)
Titanium
Nickel
Silicon carbide
Precipitates
Loads (forces)
Plastic deformation
silicon carbides
Elastic moduli
plastic deformation
precipitates
modulus of elasticity
titanium
Temperature
nickel
Fibers
fibers
temperature

All Science Journal Classification (ASJC) codes

  • Instrumentation
  • Materials Science(all)
  • Mechanics of Materials

Cite this

Gil, Christopher M. ; Lissenden, III, Clifford Jesse ; Lerch, Bradley A. / Unusual nonlinear response of some metallic materials. In: Mechanics of Materials. 1999 ; Vol. 31, No. 9. pp. 565-577.
@article{e20c5e4688fd4aadb6f467f27ed22c86,
title = "Unusual nonlinear response of some metallic materials",
abstract = "An anomalous material response has been observed under the action of compressive loads in fibrous silicon carbide/titanium (both Ti-6242 and Ti-15-3 alloys) and the nickel-base alloy Inconel 718 in the aged (precipitation hardened) condition. The observed behavior is an increase, rather than a decrease, in the instantaneous Young's modulus with increasing load and is referred to as stiffening. This increase is small, but can be significant in yield surface tests where an equivalent offset strain on the order of 10 με (10×10-6 m/m) is being used. Stiffening has been quantified by calculating offset strains from the linear elastic loading line. The offset strains associated with stiffening during compressive loading are positive and of the same order as the target offset strains in yield surface tests. Stiffening appears to be nonlinear elastic and for SiC/Ti-15-3 decreases as the test temperature increases, suggesting a temperature-dependent mechanism. No stiffening occurred in SiC/Ti-15-3 above approximately 500 °C. In addition, the tensile response of aged Inconel 718 exhibits a nonlinear elastic response (not stiffening) prior to the initiation of plastic deformation. The nonlinear elastic response in both tension and compression agrees with a second order stress-strain relation. The higher order terms may be important due to constraint interactions associated with a strengthening second phase such as precipitates or fibers.",
author = "Gil, {Christopher M.} and {Lissenden, III}, {Clifford Jesse} and Lerch, {Bradley A.}",
year = "1999",
month = "1",
day = "1",
doi = "10.1016/S0167-6636(99)00018-6",
language = "English (US)",
volume = "31",
pages = "565--577",
journal = "Mechanics of Materials",
issn = "0167-6636",
publisher = "Elsevier",
number = "9",

}

Unusual nonlinear response of some metallic materials. / Gil, Christopher M.; Lissenden, III, Clifford Jesse; Lerch, Bradley A.

In: Mechanics of Materials, Vol. 31, No. 9, 01.01.1999, p. 565-577.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Unusual nonlinear response of some metallic materials

AU - Gil, Christopher M.

AU - Lissenden, III, Clifford Jesse

AU - Lerch, Bradley A.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - An anomalous material response has been observed under the action of compressive loads in fibrous silicon carbide/titanium (both Ti-6242 and Ti-15-3 alloys) and the nickel-base alloy Inconel 718 in the aged (precipitation hardened) condition. The observed behavior is an increase, rather than a decrease, in the instantaneous Young's modulus with increasing load and is referred to as stiffening. This increase is small, but can be significant in yield surface tests where an equivalent offset strain on the order of 10 με (10×10-6 m/m) is being used. Stiffening has been quantified by calculating offset strains from the linear elastic loading line. The offset strains associated with stiffening during compressive loading are positive and of the same order as the target offset strains in yield surface tests. Stiffening appears to be nonlinear elastic and for SiC/Ti-15-3 decreases as the test temperature increases, suggesting a temperature-dependent mechanism. No stiffening occurred in SiC/Ti-15-3 above approximately 500 °C. In addition, the tensile response of aged Inconel 718 exhibits a nonlinear elastic response (not stiffening) prior to the initiation of plastic deformation. The nonlinear elastic response in both tension and compression agrees with a second order stress-strain relation. The higher order terms may be important due to constraint interactions associated with a strengthening second phase such as precipitates or fibers.

AB - An anomalous material response has been observed under the action of compressive loads in fibrous silicon carbide/titanium (both Ti-6242 and Ti-15-3 alloys) and the nickel-base alloy Inconel 718 in the aged (precipitation hardened) condition. The observed behavior is an increase, rather than a decrease, in the instantaneous Young's modulus with increasing load and is referred to as stiffening. This increase is small, but can be significant in yield surface tests where an equivalent offset strain on the order of 10 με (10×10-6 m/m) is being used. Stiffening has been quantified by calculating offset strains from the linear elastic loading line. The offset strains associated with stiffening during compressive loading are positive and of the same order as the target offset strains in yield surface tests. Stiffening appears to be nonlinear elastic and for SiC/Ti-15-3 decreases as the test temperature increases, suggesting a temperature-dependent mechanism. No stiffening occurred in SiC/Ti-15-3 above approximately 500 °C. In addition, the tensile response of aged Inconel 718 exhibits a nonlinear elastic response (not stiffening) prior to the initiation of plastic deformation. The nonlinear elastic response in both tension and compression agrees with a second order stress-strain relation. The higher order terms may be important due to constraint interactions associated with a strengthening second phase such as precipitates or fibers.

UR - http://www.scopus.com/inward/record.url?scp=0032665364&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032665364&partnerID=8YFLogxK

U2 - 10.1016/S0167-6636(99)00018-6

DO - 10.1016/S0167-6636(99)00018-6

M3 - Article

AN - SCOPUS:0032665364

VL - 31

SP - 565

EP - 577

JO - Mechanics of Materials

JF - Mechanics of Materials

SN - 0167-6636

IS - 9

ER -