The Kinetic Nature of the Strength of Solids

Regel, V. R.; Slutsker, A. I.; Tomashevskiĭ, É E

doi:10.1070/pu1972v015n01abeh004945

Cited by 246 publications

(201 citation statements)

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“…Various functions have been proposed for a quantitative description of the long-term durability or, simply, durability (the time interval between the onset of deformation and fracture of the specimen). On the one hand, an exponential-type function has been widely and successfully used since the fifties by Zhurkov's school [20]. On the other hand, from data for plastic metals and inorganic glasses Gool [21] and Bartenev [22] suggested a power function for cured rubbers.…”

Section: The Relaxation Transitions In Linear Polymers In Uniaxial Exmentioning

confidence: 99%

Uniaxial extension and shear in combination with cyclic straining as a promising method for studying the viscoelasticity of polymers over a wide range of stresses and strains atT > T g

1985

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Simple relations are found between the fracture strains, the long-term durability and the initial values of parameters characterizing polymer rheology at deformation rates and stresses approaching zero. Fracture regimes are determined by two groups of parameters. One includes critical values of stresses. They are invariant with repect to temperature and molecular weight of the polymers; the values of critical stresses for different polymer compositions differ by a factor of 10 to 20. The second group of critical parameters includes the rates of deformation determined by the initial viscosity. The latter may vary by many orders of magnitude. There exists a universal critical value determining polymer fracture independent of linear macromolecule composition, its molecular weight, the temperature and the way of attaining a given state. This value is the recoverable strain and is equal to 0.5 according to Hencky. There exists a relation between the maximum value of recoverable strain in the transition region from the rubbery to the leathery state and the extensibility of macromolecules for polymers with various molecular weights. Quenching of the polymer near the maximum recoverable strain makes it possible to obtain high strength samples. Overspurt regimes for polymer flow have also been studied. It has been shown that this causes polymer static electrification. Simple and unique dependences of the charge density on temperature and polymer molecular weight have been established.

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Section: The Relaxation Transitions In Linear Polymers In Uniaxial Exmentioning

confidence: 99%

Uniaxial extension and shear in combination with cyclic straining as a promising method for studying the viscoelasticity of polymers over a wide range of stresses and strains atT > T g

1985

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“…In the present study, a method of calculating the damage and the force relaxation in an amorpho-crystalline polymer under constant strain is suggested based on the result obtained in [10] and on the model representation of an amorphous interlayer in the form of Regel's element [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

“…Based on the theory ofthermofluctuational failure [4][5][6][7], classical results on prediction of the time to failure of the polymer under creep conditions are obtained. The basic relations for durability are formulated in terms of the activation energy of rupture and the stress applied [ 1 ].…”

Section: Introductionmentioning

confidence: 99%

Calculation of damage and of force relaxation in amorpho-crystalline polymers

Mukanova¹,

Junisbekov²

1999

Mech Compos Mater

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The dynamics of damage and of the relaxing force in amorpho-crystalline polymers under constant strain are calculated using the formulas for the probability of rupture of a deformed polymer molecule and a model representation of amorphous interlayers. The main parameters of the model are the maximum and minimum possible deformations of molecular chains, the energy of rupture activation, the function of the chain length distribution, the temperature, the macroscopic strain, and the relative dimensions of the amorphous interlayer. The conformity of the theoretical model and the association of the relaxation spectrum with the internal molecular and structural characteristics of the material are established.

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“…The monograph [1] considers in detail such topics as the methods of detection of the operation under load, and, interestingly, the whole chapter is addressed to the investigation of the dependence of the loaded solid body strength on the temperature. In this monograph, as well as in the other works on these years, the started question was considered in the context of the continuum.…”

Section: Introductionmentioning

confidence: 99%