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1.
We reduce the plane problem of anisotropic thermoelasticity for bodies with angular inclusions to a Fredholm system of integral equations. We construct potentials with power singularities at the angular points in the explicit form and present an example of application of the obtained results to the investigation of the dependence of local stresses in a plate with elastic stringer on its physicomechanical characteristics. Lutsk State Technical University, Lutsk. Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 35, No. 3, pp. 59–68, May–June, 1999.  相似文献   

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Processes of friction heating at a local thermal contact in turning friction are studied. I. Franko State University, Lvov; Ya. S. Podstrigach Institute of Applied Problems of Mechanics and Mathematics, Academy of Sciences of Ukraine, Lvov, Ukraine. Translated from Inzgenerno-Fizicheskii Zhurnal. Vol. 69, No. 1, pp. 72–78, January–February, 1996  相似文献   

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We study local stresses near the tips of angular inclusions in an anisotropic body subjected to antiplane deformation and deduce explicit expressions for the indicated stresses in the vicinities of the tips. We also present characteristic equations for the order of singularities of stresses and perform their numerical analysis. Lutsk Industrial Institute, Lutsk. Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 32, No. 4, pp. 86–90, July–August, 1996.  相似文献   

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A theoretical method is proposed for determining the ultimate state of a plate with several holes based on strength criteria of fracture mechanics and continuum mechanics. The ultimate state of a plate of finite width with two holes was found by the given method. As a result of realizing the indicated method, methods were developed for determining the stress state of a strip with two holes and the stress intensity factors in a strip with radial cracks extending to the edges of two holes. The maximum difference between the experimental and theoretical data (by the proposed method) does not exceed 12%.Translated from Problemy Prochnosti, No. 3, pp. 44–52, March, 1994.  相似文献   

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We solve the problem of stressed state and limiting equilibrium of a semiinfinite plate with edge crack under the action of symmetric bending with tension. In the two-dimensional case, the possibility of crack closure is taken into account by using a model of contact along a line. An algorithm for the numerical solution of the mixed problem is proposed. The diagram of limiting equilibrium of the cracked plate shows that the range of safe states enlarges if the effect of crack closure is taken into account.Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 40, No. 2, pp. 73–77, March–April, 2004.  相似文献   

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Strength of Materials - Numerical simulation results for the unsteady thermal and stressed states of a nozzle vane under unsteady operation conditions of the gas turbine are presented. The vane and...  相似文献   

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This paper deals with the interaction problem of a row of elliptical inclusions under uniaxial tension. The body force method is used to formulate the problem as a system of singular integral equations with Cauchy--type and logarithmic singularities, where the unknowns are densities of body forces distributed in infinite plates that have the same elastic constants as those of the matrix and inclusion. In order to satisfy the boundary conditions along the elliptical boundaries, eight kinds of fundamental density functions, proposed in a previous paper, are applied. In the analysis, the number, shape, and position of inclusions are varied systematically; after which the magnitude and position of the maximum stress are examined. For any fixed shape and size of inclusions, the maximum stress is shown to be linear with the reciprocal of the number of inclusions. The present method is found to yield rapidly converging numerical results for various geometrical conditions of inclusions. This revised version was published online in August 2006 with corrections to the Cover Date.  相似文献   

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The author is describing the new method of calculating the limiting state of plates of finite dimensions weakened by a hole. The method is based on the combined application of the strength criteria of crack mechanics and mechanics of solids. The proposed method makes it possible to determine the acting stress at the edges of the plate at which the standard element fails, as well as the critical size of the zone of the limiting stage of the material at the hole. An example of calculating the plate with a hole using the method is described. The largest difference between the experimental and theoretical data does not exceed 9%.Translated from Problemy Prochnosti, No. 10, pp. 3–7, October, 1990.  相似文献   

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Liu Y  Pu J  Lü B 《Applied optics》2011,50(24):4844-4847
An efficient method for exploring the orbital angular momentum of an optical vortex beam is provided. The method, based on a triangular multipoint plate, can easily determine both the sign and the magnitude of the topological charge of the optical vortices. We demonstrate its feasibility by measuring the orbital angular momentum of Laguerre-Gaussian laser beams.  相似文献   

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This paper deals with a row of equally spaced equal diamond-shaped inclusions with angular corners under various loading conditions. The problem is formulated as a system of singular integral equations with Cauchy-type singularities, where the unknown functions are the densities of body forces distributed in infinite plates having the same elastic constants of the matrix and inclusions. In order to analyze the problems accurately, the unknown functions of the body force densities are expressed as a linear combination of two types of fundamental density functions and power series, where the fundamental density functions are chosen to represent the symmetric stress singularity of $1/r^{1 - \lambda _1 } $ and the skew-symmetric stress singularity of $1/r^{1 - \lambda _2 } $ . Then, newly defined stress intensity factors for angular corners are systematically calculated for various shapes, spacings, elastic constants and numbers of the diamond-shaped inclusions in a plate subjected to uniaxial tension, biaxial tension and in-plane shear. For all types of diamond-shaped inclusions, the stress intensity factor is shown to be linearly related to the reciprocal of the number of diamond-shaped inclusions.  相似文献   

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The thermostressed state and crack growth resistance of rotors are analyzed for various operating conditions using the procedures developed for their calculation. The kinetics of transverse cracks under high-cycle loading is considered.  相似文献   

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The main purpose of this study is to investigate the efficacy and usefulness of a class of recently proposed models that could be reasonable candidates for describing the response of brittle elastic materials. The class of models that are considered allows for a non-linear relationship between the linearized elastic strain and the Cauchy stress, and this allows one to describe situations wherein the stress increases while the strain yet remains small. Thus one would be in a position to model the response of brittle elastic bodies in the neighborhood of the tips of cracks and notches. In this paper we study the behavior of such models in a plate with a V-notch subject to a state of anti-plane stress. This geometrical simplification enables us to characterize the governing equation for the problem by means of the Airy stress function, though the constitutive relation is a non-linear relation between the linearized strain and the stress. We study the problem numerically by appealing to the finite element method. We find that the numerical solutions are stable. We are able to provide some information regarding the nature of the solution near the tip of the V-notch. In particular we find stress concentration in the vicinity of the singularity.  相似文献   

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