Abstract
In the present paper, we consider the strain analysis near the crack parallel to boundary surfaces of a linear isotropic elastic layer of constant thickness. We pose the problem of minimizing the opening of crack faces when a normal force is applied to the boundary of the layer. The control secondary loading is a normal stress uniformly distributed over the boundary surfaces as to oppose the opening caused by the external applied force. We show that the most dangerous are tangential deformations, and the normal ones are always by many times less dangerous.
Similar content being viewed by others
REFERENCES
J. Weertman, Dislocation Based Fracture Mechanics, World Scientific, New York (1996).
R. W. Nightingale et al., “Comparative strengths and structural properties of the upper and lower cervical spine in flexion and extension,” J. Biomech., 35, 725–732 (2002).
I. N. Sneddon, Mixed Boundary Value Problems in Potential Theory, North-Holland, Amsterdam (1966).
G. Iovane, I. K. Lifanov, and M. A. Sumbatyan, “On direct numerical treatment of hypersingular integral equations arising in mechanics and acoustics,” Acta Mech., 162, 99–110 (2003).
I. M. Gelfand and G. E. Shilov, Generalized Functions, Vol. 1, Academic Press, New York-London (1964).
Author information
Authors and Affiliations
Additional information
__________
Published in Neliniini Kolyvannya, Vol. 8, No. 2, pp. 265–277, April–June, 2005.
Rights and permissions
About this article
Cite this article
Ciarletta, M., Iovane, G. & Sumbatyan, M.A. Control of the Strain Field Near a Crack in Elastic Layer. Nonlinear Oscill 8, 264–276 (2005). https://doi.org/10.1007/s11072-005-0055-1
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11072-005-0055-1