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A boundary integral equation technique for visco‐elastic stress analysis
Author(s) -
Carini Angelo,
Gioda Giancarlo
Publication year - 1986
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610100604
Subject(s) - viscoelasticity , elasticity (physics) , plane stress , mathematics , mathematical analysis , integral equation , stress (linguistics) , boundary value problem , boundary (topology) , materials science , finite element method , structural engineering , engineering , linguistics , philosophy , composite material
On the basis of the correspondence principle of visco‐elasticity, an application is discussed of the boundary integral equation method to the solution of time‐dependent stress analysis problems. The adopted solution technique, in addition to the time‐dependent stress and strain distributions, enables the determination of a measure of the error affecting the numerical results. The governing equations for the plane strain visco‐elastic problem are derived with reference to a generalized Kelvin model consisting of the series of any number of simple kelvin elements, having both volumetric and deviatoric components. To get some insight into the overall performance of the technique, the results obtained in the solution of some test examples are discussed and compared with those dering from the available closed from solutions.