Research Article
Feb 1968
Linear Viscoelastic Boundary Value Problems
Publication: Journal of the Engineering Mechanics Division
Volume 94, Issue 1
Abstract
In most published works on viscoelastic stress analysis the constitutive equations of the materials are expressed in linear differential operator forms. However, due to the mathematical complexity which arises when a realistic number of terms are used to properly characterize the material, these analyses have generally been limited to either short time intervals or unrealistic material representations. To overcome this difficulty, a more general method of representation for the constitutive equations of linear viscoelastic materials is achieved through the use of the hereditary integrals. Use of such constitutive equations permits an easy formulation of the time dependent expressions in the form of integral equations involving multiple convolution integrals which involve all the time dependent variables. The evaluation of these convolution integrals and the numerical solution of the integral equations then provides the response of the materials over broad time intervals. The general applicability of this method and practical techniques for its execution are discussed.
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Published In
Journal of the Engineering Mechanics Division
Volume 94 • Issue 1 • February 1968
Pages: 117 - 136
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Feb 1968
Published online: Feb 3, 2021
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Authors
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James E. Ashton, AM.ASCE
Senior Structures Engr., General Dynamics Corp., Fort Worth, Tex.
Fred Moavenzadeh, AM.ASCE
Assoc. Prof., Dept. of Civ. Engrg., Massachusetts Inst. of Technology, Cambridge, Mass.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.