Publication

Searching for the proper law of dislocation multiplication in covalent crystals

Jan Fikar
2002
Journal Articles

Abstract

A simple model based on dislocation theory allows the construction of a fully deﬁned system of differential equations and the calculation of curves that correspond to different mechanical tests such as stress relaxation, the creep test and the imposed strain rate test. Various multiplication and exhaustion rates of mobile dislocations have been considered. The numerical solution of the system reproduces satisfactorily experimental curves obtained in Ge single crystals at 750 K.

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Jan Fikar
2002
Journal Articles

Abstract

Official source

Related concepts (32)

Dislocation

In materials science, a dislocation or Taylor's dislocation is a linear crystallographic defect or irregularity within a crystal structure that contains an abrupt change in the arrangement of atoms. The movement of dislocations allow atoms to slide over each other at low stress levels and is known as glide or slip. The crystalline order is restored on either side of a glide dislocation but the atoms on one side have moved by one position. The crystalline order is not fully restored with a partial dislocation.

Creep (deformation)

In materials science, creep (sometimes called cold flow) is the tendency of a solid material to undergo slow deformation while subject to persistent mechanical stresses. It can occur as a result of long-term exposure to high levels of stress that are still below the yield strength of the material. Creep is more severe in materials that are subjected to heat for long periods and generally increase as they near their melting point. The rate of deformation is a function of the material's properties, exposure time, exposure temperature and the applied structural load.

Differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

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Searching for the proper law of dislocation multiplication in covalent crystals

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