Homogeneous uniaxial stress field

Weibull Distribution for Arbitrarily Oriented Cracks in a Homogeneous Uniaxial Stress Field... 

This chapter is concerned with the influence of mechanical stress upon the chemical processes in solids. The most important properties to consider are elasticity and plasticity. We wish, for example, to understand how reaction kinetics and transport in crystalline systems respond to homogeneous or inhomogeneous elastic and plastic deformations [A.P. Chupakhin, et al. (1987)]. An example of such a process influenced by stress is the photoisomerization of a [Co(NH3)5N02]C12 crystal set under a (uniaxial) chemical load [E.V. Boldyreva, A. A. Sidelnikov (1987)]. The kinetics of the isomerization of the N02 group is noticeably different when the crystal is not stressed. An example of the influence of an inhomogeneous stress field on transport is the redistribution of solute atoms or point defects around dislocations created by plastic deformation. 

The SMP system is considered to be macroscopicaUy isotropic and homogeneous. A uniform stress field assumption is held. This assumption suggests that when comparing with experimental results, uniaxial compression test results are preferred because specimens under uniaxial loading create a uniform stress distribution within the gauge length of the specimens. 

In this chapter, brittle fracture is first discussed for the simple case of a uniaxial and homogeneous stress field (as in a tensile test), and for a single crack-like flaw which is oriented perpendicular to the stress field (in so-called mode I loading). These simple conditions are suflficient to explain the basic features of brittle fracture. later, the analysis will be extended to more complex and more general situations, including multiple cracks, the arbitrary orientation of cracks (mode II and mode III loading), and multi-axial stress fields. 

While solving the problem, the following assumptions are made the temperature field in the rod is homogenous the ends of the rod are rigidly fixed while in the rod the uniaxial stress state is observed (cr, 0) the plane section hypothesis holds true volume strains (or the... 

On the basis of what has been discussed, we are in the position to provide a unified understanding and approach to the composite elastic modulus, yield stress, and stress-strain curve of polymers dispersed with particles in uniaxial compression. The interaction between filler particles is treated by a mean field analysis, and the system as a whole is macroscopically homogeneous. Effective Young s modulus (JE0) of the composite is given by [44]... 

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