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  • 1
    Electronic Resource
    Electronic Resource
    Dynamics of the fracture of a cylindrical panel (1971)
    Springer
    International applied mechanics 7 (1971), S. 1181-1184 
    Details
    ISSN: 1573-8582
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Conclusions The ratio of the fracture time of the panel with loading by heavy bars having a two-sided connection to the panel to the fracture time of the panel with loading of the panel by a compressed gas is given by the equality $$\frac{{t_s }}{{t_g }} = \sqrt {\frac{{\varrho \gamma g + q_u }}{{\varrho \gamma g}}} .$$ Consequently, the physical nature of the loading medium has a substantial effect on the dynamics of fracture of a panel.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00887078
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  • 2
    Electronic Resource
    Electronic Resource
    Construction of the nonlinear relations of thermoviscoelasticity (1967)
    Springer
    Mechanics of composite materials 3 (1967), S. 652-656 
    Details
    ISSN: 1573-8922
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Nonlinear stress-strain relations, constructed for a viscoelastic medium, have been extended to the temperature region where the temperature-time superposition principle applies. The nonlinearity is introduced into the viscous elements in power-law form. The six parameters entering into the equations are determined from simple specified tests A method is proposed for constructing the functiona T(T) from the data of quasi-static creep tests at different temperatures or from σ ∞ ε diagrams obtained at constant loading or strain rates.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00858735
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  • 3
    Electronic Resource
    Electronic Resource
    Formulation and solution of boundary value problems of polymer mechanics (1969)
    Springer
    Mechanics of composite materials 5 (1969), S. 43-51 
    Details
    ISSN: 1573-8922
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Certain aspects of the formation of boundary value problems of polymer mechanics are stressed and effective methods of solution are discussed. Recent solutions of boundary value problems of polymer mechanics are reviewed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00859026
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  • 4
    Electronic Resource
    Electronic Resource
    Temperature stresses in a long hollow viscoelastic cylinder with variable inner boundary (1969)
    Springer
    Mechanics of composite materials 5 (1969), S. 177-183 
    Details
    ISSN: 1573-8922
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract As distinct from existing solutions for the state of stress and strain, in addition to the stresses created by internal pressure acting on the moving inner surface, the thermal stresses created by a temperature field are also taken into account. A solution is obtained using tabulated singular kernels of the hereditary theory of viscoelasticity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00854754
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  • 5
    Electronic Resource
    Electronic Resource
    Method of determining the volume and shear characteristics of elastico-viscous hereditary media from uniaxial-tension (compression) experiments (1969)
    Springer
    Mechanics of composite materials 5 (1969), S. 667-671 
    Details
    ISSN: 1573-8922
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A method is proposed for determining the elastic constants — instantaneous modulus of elasticity, Poisson's ratio, shear modulus, bulk modulus, and the shear and volume influence functions — the shear creep kernel, the shear creep rate kernel, and the corresponding relaxation kernels from the data of creep or relaxation tests.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00857259
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  • 6
    Electronic Resource
    Electronic Resource
    Method of solving quasistatic boundary value problems of viscoelasticity for media with time-varying properties (1969)
    Springer
    Mechanics of composite materials 5 (1969), S. 877-883 
    Details
    ISSN: 1573-8922
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract It is shown that, if certain conditions are satisfied, the solution of a viscoelastic mixed boundary value problem can be obtained from the solution of the corresponding elastic problem by substituting time operators for the body and surface forces or given displacements. A similar assertion is also proved for media with time-varying properties. The applicability of the method to the theory of shallow flexible viscoelastic shells is demonstrated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00864665
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  • 7
    Electronic Resource
    Electronic Resource
    Nucleus for unstable viscoelastic media (1972)
    Springer
    Mechanics of composite materials 8 (1972), S. 822-823 
    Details
    ISSN: 1573-8922
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A singular nondifferential creeping nucleus is suggested to describe the behavior of unstable viscoelastic materials, for which a resolvent is constructed, representing a nondifferential generalization of a fractional exponential function.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00856123
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  • 8
    Electronic Resource
    Electronic Resource
    Conditions for the design of shock-absorbing and vibration-proofing systems (1972)
    Springer
    Mechanics of composite materials 8 (1972), S. 910-914 
    Details
    ISSN: 1573-8922
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The regions are given for the parameters of shock-absorbing and vibration-proofing systems leading to final overloads that do not exceed the design values. Shock-absorbing and vibration-proofing systems are considered as viscoelastic systems with hereditary properties. The stresses and displacements of the system as a function of time are based on the linear theory of Boltzmann and Volterra, and on the nonlinear main square theory of Ilyushin. The nucleus which characterizes the viscoelastic properties of the system is assumed to be singular; the regions of parameter variation of this function, obtained by minimization of the vibration overloads, represent the solution of the problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00858329
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  • 9
    Electronic Resource
    Electronic Resource
    Approximate formulas for calculating integral creep operators (1972)
    Springer
    Mechanics of composite materials 8 (1972), S. 985-987 
    Details
    ISSN: 1573-8922
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Approximate formulas for calculating integral operators such as the contraction type, containing regular and singular kernels of inheritance theory, are given. The approximations are evaluated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00858343
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  • 10
    Electronic Resource
    Electronic Resource
    Solution of the integral equations of hereditary theory (1973)
    Springer
    Mechanics of composite materials 9 (1973), S. 64-67 
    Details
    ISSN: 1573-8922
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract An approximate method is proposed for calculating the product of the Rabotnov ε operator and a continuous function of time. A collocation method is used to construct an approximate solution of the Volterra equation with a nondifference kernel in the form of the product of a fractional-exponential function and an arbitrary function of time. The error of the approximate solution is estimated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00856011
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