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Dynamic stress intensity factors studied by boundary integro‐differential equations
Author(s) -
Sládek J.,
Sládek V.
Publication year - 1986
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.1620230512
Subject(s) - laplace transform , stress intensity factor , mathematics , boundary value problem , mathematical analysis , laplace's equation , integro differential equation , differential equation , partial differential equation , method of fundamental solutions , boundary (topology) , laplace transform applied to differential equations , boundary element method , singular boundary method , finite element method , structural engineering , first order partial differential equation , engineering
The boundary integro‐differential equation method is illustrated by two numerical examples concerning the study of the dynamic stress intensity factor around a penny‐shaped crack in an infinite elastic body. Harmonic and impact load on the crack surface has been considered. Applying the Laplace transform with respect to time to the governing equations of motion the problem is solved in the transformed domain by the boundary integro‐differential equations. The Laplace transformed general transient problem can be used to solve the steady‐state problem as a special case where no numerical inversion is involved.