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Power-law creep (also known as dislocation creep) takes place at temperatures in excess of 055 Tm In this form of creep the strain rate is proportional to the nth power of the stress, where n 3 Power-law creep is similar to plastic ow, where deformation takes place by dislocation glide However, in addition, the diffusion of atoms and of sites unoccupied by atoms called vacancies is permitted by the higher temperatures (Fig 224) This diffusive process, termed dislocation climb, allows barriers to dislocation movement to be removed as they form As a result work-hardening does not occur and steady state creep is facilitated This balance results in dynamic recrystallization whereby new crystal grains form from old grains Because of the higher temperature the yield strength is lower than for plastic ow, and strain results from lower stresses.

where the last inequality follows from Markov inequality and assumption (2). Choose n 0 to minimize the right-hand side of (13.6) [i.e., n = (1 + 2/r) log n] and it follows that E[log A ] 1 + 2 1 log n + . r r (13.7)

where Kh is the thermal conductivity, s is the speci c heat per unit volume, and u x; t is the local temperature. C. The Schrodinger s wave equation in quantum mechanics is given by h2 @ 2 u x; t h @u x; t ; V x u x; t j 2m 2 @x 2p @t 4p 3:2-18

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Power-law creep is believed to be an important form of deformation in the upper mantle where it governs convective ow (Weertman, 1978) Newman & White (1997) suggest that the rheology of continental lithosphere is controlled by power-law creep with a stress exponent of three Diffusion creep dominates as temperatures exceed 085 Tm, and results from the migration of individual atoms and vacancies in a stress gradient (Fig 225) Where the migration occurs through a crystal lattice it is known as Nabarro Herring creep Where it occurs along crystal boundaries it is known as Coble creep In both forms of creep the strain rate ( / ) is proportional to the differential stress ( ) with the constant of proportionality being the dynamic viscosity ( ).

message. Video clips, instant messaging, mobile chat and email have numerous ways of charging: by message, by subscription, package or by volume are all in use in various countries. Co-operation: For all messaging services the interconnectivity between users in different operator networks is essential to get the services bandwagon started. It is estimated that at least a 25 per cent active user base is required to kick-start the growth in use of a messaging service, and this phenomenon is commonly referred to as the network effect . Typically there needs to be a national interconnection among operators, and GPRS and MMS form a good common ground for evolving these interconnections further into international as well as more service-evolutionary dimensions. Standardization helps in connectivity, but unfortunately it cannot be taken for granted that services, particularly email or instant messaging, would work across platforms. Challenges: As in any service area, there are many challenges. One major one is always to grow the usage. Another, more strategic, challenge is to see whether the instant messaging and chatting cultures ourishing in the xed Internet can nd convergence in the mobile domain, as the business models and charging logic are quite different.

This relationship is given by: = 2 ( / ) The viscosity increases as the square of the grain radius so that a reduction in grain size is expected to result in rheological weakening Diffusion creep is believed to occur in the asthenosphere (Section 212) and in the lower mantle (Section 2106) Superplastic creep has been observed in metals and may also occur in some rocks This type of creep results from the coherent sliding of crystals along grain boundaries where the movement occurs without opening up gaps between grains The sliding may be accommodated by both diffusion and dislocation mechanisms Superplastic creep is characterized by a power-law rheology with a stress exponent of one or two and is associated with high strain rates Some studies (eg Karato, 1998) have inferred that superplastic creep contributes.

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