×
Rybka, V. M.; Kalker, J. J.

The elastostatic approach to compression of a cracked medium with dry friction. (English) Zbl 0519.73087

J. Eng. Math. 17, 109-124 (1983).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0519.73087

MSC:

74R05 Brittle damage
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74B20 Nonlinear elasticity

Keywords:

frame of linear elastic material compression; cracked plane; friction; mutual sliding; nonlinear effects; hysteresis; non-axisymmetric compression; space weakened by circular crack; dry friction; solution in displacements; field of displacements represented in elementary functions
Cite Review PDF
Full Text: DOI

References:

[1] V.I. Mossakovskij and P.A. Zagubizhenko, On compression of an elastic isotropic plane weakened by rectilinear slit [in Ukrainian], Dopovidi AN URSR 5 (1954) 385–390.
[2] L.T. Boiko, The contact problem for a plane with rectilinear cut [in Russian], Prikladnaja mekhanika 9 (1973) 116–120.
[3] R.D. Mindlin and H. Deresiewicz, Elastic spheres in contact under varying oblique forces, J. Appl. Mech. 20 (1953) 327–344. · Zbl 0051.41202
[4] Ju.A. Borshch and A.V. Stezhko, Compression of a space weakened by circular axisymmetric slit [in Russian], Soprotivleniye materialov i teoriya sooruzheny, 22 (29–34) Kiev (1974).
[5] N.I. Muskhelishvili, Some basic problems of the mathematical theory of elasticity, P. Noordhoff, Groningen (1953). · Zbl 0052.41402
[6] J.B. Walsh, The effect of cracks on the uniaxial elastic compression of rocks, J. Geophys. Res. 70 (1965) 399–411. · Zbl 0136.22201 · doi:10.1029/JZ070i002p00399
[7] I.S. Gradshteyn and I.M. Ryzhik, Tables of integrals, series and products, Academic Press, New York (1980). · Zbl 0521.33001
[8] Ju.A. Amenzade, Teoriya uprugosti [in Russian], Vysshaya Shkola, Moskow (1976).
[9] J.R. Willis, The penny-shape crack on an interface. Quart. Journ. Mech. and Appl. Math. 25 (1972) 367–385. · Zbl 0243.73056 · doi:10.1093/qjmam/25.3.367
[10] I.M. Gel’fand, M.I. Graev and N.Yu. Vilenkin, Generalized functions, Vol. 5, Integral geometry and representation theory, Academic Press, New York (1966).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.