Detailed Information

Cited 0 time in webofscience Cited 0 time in scopus
Metadata Downloads

Application of Post-Widder inversion formula to the calculation of relaxation spectrum from relaxation modulus

Authors
Cho, GyuhyeonChoi, JehyeokLee, JunghaengCho, Kwang Soo
Issue Date
Feb-2024
Publisher
KOREAN SOC RHEOLOGY
Keywords
Linear viscoelasticity; Relaxation time spectrum; Post-Widder inversion formula; B-spline regression; Stirling number of first kind
Citation
KOREA-AUSTRALIA RHEOLOGY JOURNAL
Indexed
SCIE
SCOPUS
KCI
Journal Title
KOREA-AUSTRALIA RHEOLOGY JOURNAL
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/69711
DOI
10.1007/s13367-023-00086-7
ISSN
1226-119X
2093-7660
Abstract
There have been developed a number of algorithms for the determination of relaxation spectrum from viscoelastic data. When viscoelastic data are given by stress relaxation test, the relation between relaxation spectrum and relaxation modulus can be transformed to that of Laplace transform. Hence, calculation of relaxation spectrum from relaxation modulus is a problem of inverting Laplace transform. Among various mathematical methods for inverse Laplace transform, the Post-Widder formula has been chosen by a number of researchers. However, they did not solve the problem by use of advance numerical technic but used low-order approximations. We suggest a new numerical algorithm which can calculate higher order solutions. In principle, the order of the Post-Widder formula is not limited in our algorithm.
Files in This Item
There are no files associated with this item.
Appears in
Collections
ETC > Journal Articles

qrcode

Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.

Altmetrics

Total Views & Downloads

BROWSE