Reconstruction of plane cracks in an anisotropic elastic solid

Two methods are proposed for identifying plane cracks in an anistropic elastic medium, based either on the use of a “non-reciprocity” functional or on the non-classical method of boundary integral equations and leading to the solution of certain transcendental equations. Examples of the reconstructi...

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Bibliographic Details
Published in:Journal of applied mathematics and mechanics 2005, Vol.69 (3), p.484-492
Main Authors: Vatul'yan, A.O., Solov'yev, A.N.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Citations: Items that this one cites
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Summary:Two methods are proposed for identifying plane cracks in an anistropic elastic medium, based either on the use of a “non-reciprocity” functional or on the non-classical method of boundary integral equations and leading to the solution of certain transcendental equations. Examples of the reconstruction of rectilinear cracks in a square region are examined.
ISSN:0021-8928
0021-8928
DOI:10.1016/j.jappmathmech.2005.05.015