Relaxation of Thick-Walled Cylinders and Spheres

N. Saabye Ottosen

doi:10.1115/1.3162486

Relaxation of Thick-Walled Cylinders and Spheres

N. Saabye Ottosen

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

Using the nonlinear creep law proposed by Soderberg, (1936) closed-form solutions are derived for the relaxation of incompressible thick-walled spheres and cylinders in plane strain. These solutions involve series expressions which, however, converge very quickly. By simply ignoring these series expressions, extremely simple approximate solutions are obtained. Despite their simplicity these approximations possess an accuracy that is superior to approximations currently in use. Finally, several physical aspects related to the relaxation of cylinders and spheres are discussed

Original language	English
Journal	Journal of Applied Mechanics
Volume	49
Issue number	3
Pages (from-to)	487-491
ISSN	0021-8936
DOIs	https://doi.org/10.1115/1.3162486
Publication status	Published - 1982

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title = "Relaxation of Thick-Walled Cylinders and Spheres",

abstract = "Using the nonlinear creep law proposed by Soderberg, (1936) closed-form solutions are derived for the relaxation of incompressible thick-walled spheres and cylinders in plane strain. These solutions involve series expressions which, however, converge very quickly. By simply ignoring these series expressions, extremely simple approximate solutions are obtained. Despite their simplicity these approximations possess an accuracy that is superior to approximations currently in use. Finally, several physical aspects related to the relaxation of cylinders and spheres are discussed",

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AU - Saabye Ottosen, N.

PY - 1982

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N2 - Using the nonlinear creep law proposed by Soderberg, (1936) closed-form solutions are derived for the relaxation of incompressible thick-walled spheres and cylinders in plane strain. These solutions involve series expressions which, however, converge very quickly. By simply ignoring these series expressions, extremely simple approximate solutions are obtained. Despite their simplicity these approximations possess an accuracy that is superior to approximations currently in use. Finally, several physical aspects related to the relaxation of cylinders and spheres are discussed

AB - Using the nonlinear creep law proposed by Soderberg, (1936) closed-form solutions are derived for the relaxation of incompressible thick-walled spheres and cylinders in plane strain. These solutions involve series expressions which, however, converge very quickly. By simply ignoring these series expressions, extremely simple approximate solutions are obtained. Despite their simplicity these approximations possess an accuracy that is superior to approximations currently in use. Finally, several physical aspects related to the relaxation of cylinders and spheres are discussed

U2 - 10.1115/1.3162486

DO - 10.1115/1.3162486

M3 - Journal article

SN - 0021-8936

VL - 49

SP - 487

EP - 491

JO - Journal of Applied Mechanics

JF - Journal of Applied Mechanics

IS - 3

ER -

Relaxation of Thick-Walled Cylinders and Spheres

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