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Three-dimensional elastic stress and displacement analysis of finite geometry solids containing cracksThe line method of analysis is applied to the Navier-Cauchy equations of elastic equilibrium to calculate the displacement distributions in various bodies containing cracks. The application of this method to these equations leads to coupled sets of simultaneous ordinary differential equations whose solutions are obtained along sets of lines in a discretized region. When decoupling the equations and their boundary conditions is not possible, the use of a successive approximation procedure permits the analytical solution of the resulting ordinary differential equations. The results obtained show a considerable potential for using this method in the three-dimensional analysis of finite geometry solids and suggest a possible extension of this technique to nonlinear material behavior.
Document ID
19750049922
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Gyekenyesi, J. P.
Mendelson, A.
(NASA Lewis Research Center Cleveland, Ohio, United States)
Date Acquired
August 8, 2013
Publication Date
June 1, 1975
Publication Information
Publication: International Journal of Fracture
Volume: 11
Subject Category
Structural Mechanics
Accession Number
75A33994
Distribution Limits
Public
Copyright
Other

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