A three-parameter viscoelastic model particularly suited for dynamic problems

J. D. Achenbach; C. C. Chao

doi:10.1016/0022-5096(62)90041-8

A three-parameter viscoelastic model particularly suited for dynamic problems

J. D. Achenbach^*, C. C. Chao

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

In this paper a stress-strain relation is proposed for a linearly viscoelastic solid of the threeparameter type. The mechanical model representation includes a mass. An analysis of the creep function and the elastic modulus shows the similarity of these functions with those of the standard linear solid. As opposed to the stress-strain relation of the standard linear solid the present relation leads to simple solutions of dynamic problems. A wave propagation example is treated.

Original language	English (US)
Pages (from-to)	245-252
Number of pages	8
Journal	Journal of the Mechanics and Physics of Solids
Volume	10
Issue number	3
DOIs	https://doi.org/10.1016/0022-5096(62)90041-8
State	Published - 1962

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1016/0022-5096(62)90041-8

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abstract = "In this paper a stress-strain relation is proposed for a linearly viscoelastic solid of the threeparameter type. The mechanical model representation includes a mass. An analysis of the creep function and the elastic modulus shows the similarity of these functions with those of the standard linear solid. As opposed to the stress-strain relation of the standard linear solid the present relation leads to simple solutions of dynamic problems. A wave propagation example is treated.",

author = "Achenbach, {J. D.} and Chao, {C. C.}",

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AU - Chao, C. C.

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N2 - In this paper a stress-strain relation is proposed for a linearly viscoelastic solid of the threeparameter type. The mechanical model representation includes a mass. An analysis of the creep function and the elastic modulus shows the similarity of these functions with those of the standard linear solid. As opposed to the stress-strain relation of the standard linear solid the present relation leads to simple solutions of dynamic problems. A wave propagation example is treated.

AB - In this paper a stress-strain relation is proposed for a linearly viscoelastic solid of the threeparameter type. The mechanical model representation includes a mass. An analysis of the creep function and the elastic modulus shows the similarity of these functions with those of the standard linear solid. As opposed to the stress-strain relation of the standard linear solid the present relation leads to simple solutions of dynamic problems. A wave propagation example is treated.

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ER -

A three-parameter viscoelastic model particularly suited for dynamic problems

Abstract

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