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The problem of symmetry in the theory of elasticity problem concerning a planar tensile crack

✍ Scribed by A.G. Ramm; Ye.I. Shifrin

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
584 KB
Volume
69
Category
Article
ISSN
0021-8928

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✦ Synopsis

The problem of a bounded planar crack in a homogeneous, isΒ©tropic, linearly elastic space is considered. It is assumed that uniform normal loads, which are equal in magnitude and opposite in direction, are applied to the crack surfaces. It is shown that a circle is the only form of crack for which the stress intensity factor is constant along its contour.

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An inverse contact problem in the theory
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✍ Jin Cheng; Dinghua Xu; Masahiro Yamamoto πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 138 KB πŸ‘ 2 views

In this paper, we discuss an inverse problem in elasticity for determining a contact domain and stress on this domain. We show that this problem is an ill-posed problem, and we establish the uniqueness and ΒΈ-conditional stability estimation for the stress.