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IssuesArchive of Issues2003-2pp.67-70

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I. T. Denisyuk, "Dynamic stresses near singularities of nonsmooth inclusions," Mech. Solids. 38 (2), 67-70 (2003)
Year 2003 Volume 38 Number 2 Pages 67-70
Title Dynamic stresses near singularities of nonsmooth inclusions
Author(s) I. T. Denisyuk (Lutsk)
Abstract Local stationary stress fields found near the vertex of an angular two-dimensional inclusion in an elastic body [1-3] can be used for the construction of solutions of the corresponding boundary value problems of elasticity for two-dimensional bodies with angular inclusions [4-8]. In this paper, we study local stress fields near singular lines (sets of angular points) on surfaces of foreign inclusions under external dynamical actions. Singularities of dynamical stresses for some cases of nonsmooth boundaries are described in [9].
References
1.  I. T. Denisyuk, "Singular stresses in an isotropic matrix with an elastic wedge," Fiz. Khim. Mekh. Mater., Vol. 28, No. 4, pp. 76-81, 1992.
2.  I. T. Denisyuk, "Stress singularities in an anisotropic plate with an angular cut," Prikl. Mekhanika, Vol. 32, No. 1, pp. 48-52, 1996.
3.  S. S. Barabash and I. T. Denisyuk, "Longitudinal shear of an anisotropic body with angular inclusions," Fiz. Khim. Mekh. Mater., Vol. 32, No. 4, pp. 86-90, 1996.
4.  I. T. Denisyuk, "Thermoelasticity of an isotropic plate with angular inclusions," Izv. AN. MTT [Mechanics of Solids], No. 2, pp. 148-155, 1999.
5.  I. T. Denisyuk, "A model of thin elastic inclusions in an isotropic plate," Izv. AN. MTT [Mechanics of Solids], No. 4, pp. 140-148, 2000.
6.  I. T. Denisyuk, "Stresses in an anisotropic plate with angular inclusions," Prikl. Mekhanika, Vol. 35, No. 2, pp. 76-84, 1999.
7.  I. T. Denisyuk, "Longitudinal shear of an anisotropic body with elastic stiffening," Fiz. Khim. Mekh. Mater., Vol. 33, No. 1, pp. 59-68, 1997.
8.  I. T. Denisyuk, "Thermo-stresses in an anisotropic plate with angular inclusions," Fiz. Khim. Mekh. Mater., Vol. 35, No. 3, pp. 59-68, 1999.
9.  V. B. Poruchikov, Methods of Dynamic Elasticity [in Russian], Nauka, Moscow, 1986.
10.  A. P. Norden, A Short Course in Differential Geometry [Russian translation], Fizmatgiz, Moscow, 1958.
11.  V. Z. Parton and P. I. Perlin, Methods of Mathematical Elasticity [in Russian], Nauka, Moscow, 1981.
12.  I. T. Denisyuk, "Stress state near a singular line on the interface between two media," Izv. AN. MTT [Mechanics of Solids], No. 5, pp. 64-70, 1994.
13.  V. Z. Parton and E. M. Morozov, Mechanics of Elastic-plastic Fracture [in Russian], Nauka, Moscow, 1985.
14.  G. P. Cherepanov, Mechanics of Brittle Fracture [in Russian], Nauka, Moscow, 1974.
Received 09 November 2000
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