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Dynamic stress concentration studies by boundary integrals and Laplace transform
Author(s) -
Manolis G. D.,
Beskos D. E.
Publication year - 1981
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620170407
Subject(s) - laplace transform , viscoelasticity , mathematical analysis , plane stress , mathematics , boundary value problem , stress field , integral transform , inverse laplace transform , boundary (topology) , plane (geometry) , geometry , finite element method , physics , thermodynamics
The dynamic stress field and its concentrations around holes of arbitrary shape in infinitely extended bodies under plane stress or plane strain conditions are numerically determined. The material may be linear elastic or viscoelastic, while the dynamic load consists of plane compressional waves of harmonic or general transient nature. The method consists of applying the Laplace transform with respect to time to the governing equations of motion and formulating and solving the problem numerically in the transfomed domain by the boundary integral equation method. The stress field can then be obtaind by a numerical inversion of the trasformed solution. The correspondence principle is invoked for the case of viscoelastic material behavious. The method is simplified for the case of harmonic waves where no numerical inversion is involved.