Methods of interconversion between linear viscoelastic material functions. I: A numerical method based on Prony series
type: Item
instance of: scholarly article
title: Methods of interconversion between linear viscoelastic material functions. I: A numerical method based on Prony series
zbMATH Open document ID: 0942.74012
DOI: 10.1016/S0020-7683(98)00055-9
author: V. Pereyra
published in: International Journal of Solids and Structures
publication date: 2000-08-21T00:00:00Z
review text: The paper presents an efficient numerical method for the study of interconversion between modulus and compliance functions of a linear viscoelastic material, when both the source and target transient functions admit a Prony (exponential) representation. The determination of target function is reduced to solving a system of linear algebraic equations for unknown coefficients of exponential series. The method is general enough to describe both viscoelastic solids and liquids. Detailed computational procedures and selection of values for parameters illustrate the method. The authors also discuss the effect of different choices of relaxation and retardation times on the accuracy.
Mathematics Subject Classification ID: 74D05
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 1335018
zbMATH Keywords: Prony representation
zbMATH Keywords: linear viscoelastic material
zbMATH Keywords: system of linear algebraic equations
zbMATH Keywords: exponential series
reviewed by: Gheorghe Gr. Ciobanu
MaRDI profile type: Publication
Recommended article: Methods of interconversion between linear viscoelastic material functions. II: An approximate analytical method
Recommended article: Numerical interconversion between linear viscoelastic material functions with regularization
Recommended article: Interconversions between linear viscoelastic functions with a time-dependent bulk modulus
Recommended article: Interconversions between linear viscoelastic functions by using relaxation-creep duality representation
Recommended article: A numerical-analytical method for solving problems of linear viscoelasticity
Recommended article: Q3142732
Recommended article: Asymptotic and numerical homogenization methods applied to fibrous viscoelastic composites using Prony's series
Recommended article: Q4713599
Recommended article: Numerical solutions for a class of differential equations in linear viscoelasticity
Recommended article: Q4026523
description: scientific article; zbMATH DE number 1335018