Network Modulus and Superelasticity

Sergei P. Obukhov, Michael Rubinstein, Ralph H. Colby

Research output: Contribution to journalArticle

173 Citations (Scopus)

Abstract

We discuss the elastic modulus G and swelling/deswelling behavior of networks as a function of their concentration ϕ and their preparation state. Simple scaling ideas reproduce the prediction of James and Guth for the modulus of networks swollen in a θ solvent (G ∼ ϕ1/3) but lead to a new prediction in a good solvent (G ∼ ϕ7/12). We also suggest that both fully swollen modulus and dry modulus are related to swelling in ways that are independent of the network preparation details. By cross-linking long chains at low concentration and removing the solvent, many temporary entanglements are formed that force each network strand into a double-folded treelike compact configuration. These deswollen networks are capable of stretching by enormous amounts (∼ 100×) without breaking (superelastic) and have a much lower modulus than melt-cross-linked networks. The energy stored in temporary entanglements during deswelling is released upon stretching, leading to a weaker-than-linear dependence of stress σ on elongation λ in tension (σ ∼ λ1/3).

Original languageEnglish (US)
Pages (from-to)3191-3198
Number of pages8
JournalMacromolecules
Volume27
Issue number12
DOIs
StatePublished - Jun 1 1994

Fingerprint

Stretching
Swelling
Elongation
Elastic moduli

All Science Journal Classification (ASJC) codes

  • Organic Chemistry
  • Polymers and Plastics
  • Inorganic Chemistry
  • Materials Chemistry

Cite this

Obukhov, Sergei P. ; Rubinstein, Michael ; Colby, Ralph H. / Network Modulus and Superelasticity. In: Macromolecules. 1994 ; Vol. 27, No. 12. pp. 3191-3198.
@article{20ea731f9f12477087e2a2f24342223b,
title = "Network Modulus and Superelasticity",
abstract = "We discuss the elastic modulus G and swelling/deswelling behavior of networks as a function of their concentration ϕ and their preparation state. Simple scaling ideas reproduce the prediction of James and Guth for the modulus of networks swollen in a θ solvent (G ∼ ϕ1/3) but lead to a new prediction in a good solvent (G ∼ ϕ7/12). We also suggest that both fully swollen modulus and dry modulus are related to swelling in ways that are independent of the network preparation details. By cross-linking long chains at low concentration and removing the solvent, many temporary entanglements are formed that force each network strand into a double-folded treelike compact configuration. These deswollen networks are capable of stretching by enormous amounts (∼ 100×) without breaking (superelastic) and have a much lower modulus than melt-cross-linked networks. The energy stored in temporary entanglements during deswelling is released upon stretching, leading to a weaker-than-linear dependence of stress σ on elongation λ in tension (σ ∼ λ1/3).",
author = "Obukhov, {Sergei P.} and Michael Rubinstein and Colby, {Ralph H.}",
year = "1994",
month = "6",
day = "1",
doi = "10.1021/ma00090a012",
language = "English (US)",
volume = "27",
pages = "3191--3198",
journal = "Macromolecules",
issn = "0024-9297",
publisher = "American Chemical Society",
number = "12",

}

Obukhov, SP, Rubinstein, M & Colby, RH 1994, 'Network Modulus and Superelasticity', Macromolecules, vol. 27, no. 12, pp. 3191-3198. https://doi.org/10.1021/ma00090a012

Network Modulus and Superelasticity. / Obukhov, Sergei P.; Rubinstein, Michael; Colby, Ralph H.

In: Macromolecules, Vol. 27, No. 12, 01.06.1994, p. 3191-3198.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Network Modulus and Superelasticity

AU - Obukhov, Sergei P.

AU - Rubinstein, Michael

AU - Colby, Ralph H.

PY - 1994/6/1

Y1 - 1994/6/1

N2 - We discuss the elastic modulus G and swelling/deswelling behavior of networks as a function of their concentration ϕ and their preparation state. Simple scaling ideas reproduce the prediction of James and Guth for the modulus of networks swollen in a θ solvent (G ∼ ϕ1/3) but lead to a new prediction in a good solvent (G ∼ ϕ7/12). We also suggest that both fully swollen modulus and dry modulus are related to swelling in ways that are independent of the network preparation details. By cross-linking long chains at low concentration and removing the solvent, many temporary entanglements are formed that force each network strand into a double-folded treelike compact configuration. These deswollen networks are capable of stretching by enormous amounts (∼ 100×) without breaking (superelastic) and have a much lower modulus than melt-cross-linked networks. The energy stored in temporary entanglements during deswelling is released upon stretching, leading to a weaker-than-linear dependence of stress σ on elongation λ in tension (σ ∼ λ1/3).

AB - We discuss the elastic modulus G and swelling/deswelling behavior of networks as a function of their concentration ϕ and their preparation state. Simple scaling ideas reproduce the prediction of James and Guth for the modulus of networks swollen in a θ solvent (G ∼ ϕ1/3) but lead to a new prediction in a good solvent (G ∼ ϕ7/12). We also suggest that both fully swollen modulus and dry modulus are related to swelling in ways that are independent of the network preparation details. By cross-linking long chains at low concentration and removing the solvent, many temporary entanglements are formed that force each network strand into a double-folded treelike compact configuration. These deswollen networks are capable of stretching by enormous amounts (∼ 100×) without breaking (superelastic) and have a much lower modulus than melt-cross-linked networks. The energy stored in temporary entanglements during deswelling is released upon stretching, leading to a weaker-than-linear dependence of stress σ on elongation λ in tension (σ ∼ λ1/3).

UR - http://www.scopus.com/inward/record.url?scp=0028766596&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028766596&partnerID=8YFLogxK

U2 - 10.1021/ma00090a012

DO - 10.1021/ma00090a012

M3 - Article

VL - 27

SP - 3191

EP - 3198

JO - Macromolecules

JF - Macromolecules

SN - 0024-9297

IS - 12

ER -