Read e-book online Anisotropic Elasticity: Theory and Applications (Oxford PDF

By Thomas C. T. Ting

ISBN-10: 0195074475

ISBN-13: 9780195074475

Anisotropic Elasticity deals for the 1st time a complete survey of the research of anisotropic fabrics which may have as much as twenty-one elastic constants. concentrating on the mathematically based and technically strong Stroh formalism as a method to figuring out the topic, the writer tackles a huge diversity of key issues, together with antiplane deformations, Green's features, pressure singularities in composite fabrics, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric fabrics, between many others. good written, theoretically rigorous, and virtually orientated, the e-book could be welcomed by way of scholars and researchers alike.

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Extra resources for Anisotropic Elasticity: Theory and Applications (Oxford Engineering Science Series)

Sample text

17) are dimensionless. It is always safer and less confusing to calculate specific speed and specific diameter in one or another of these forms rather than dropping the factors g and ρ, which would make the equations dimensional and any values of specific speed or specific diameter obtained using them would then depend upon the choice of the units employed. The dimensionless forms of Ns (and Nsp) and Ds are the only ones used in this book. Another point arises from the fact that the rotational speed, N, is often expressed in the units of revolutions per unit of time so that, although Ns is dimensionless, numerical values of specific speed need to be thought of as revs.

For small machines (several kilowatts) it may amount to 5% or more, but for medium and large machines this loss ratio may become as little as 1%. A detailed consideration of the mechanical losses in turbomachines is beyond the scope of this book and is not pursued further. The isentropic efficiency ηt or hydraulic efficiency ηh for a turbine is, in broad terms, ηt ðor ηh Þ ¼ mechanical energy supplied to the rotor in unit time . maximum energy difference possible for the fluid in unit time Comparing these definitions it is easily deduced that the mechanical efficiency ηm, which is simply the ratio of shaft power to rotor power, is ηm ¼ η0 =ηt ðor η0 =ηh Þ.

For the special case of a perfect gas (where Cp is constant), Cp(dT/ds) ¼ T for a constant pressure process. Integrating this expression results in the equation for a constant pressure line, s ¼ Cp logT þ constant. Returning now to the more general case, since ΣdW ¼ fðhx À h1 Þ þ ðhy À hx Þ þ Á Á Ág ¼ ðh2 À h1 Þ, then  à ηp ¼ ðhxs À h1 Þ þ ðhys À hx Þ þ Á Á Á =ðh2 À h1 Þ. The adiabatic efficiency of the whole compression process is ηc ¼ ðh2s À h1 Þ=ðh2 À h1 Þ. , ΣδWmin > Wmin . Therefore, η p > ηc .

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Anisotropic Elasticity: Theory and Applications (Oxford Engineering Science Series) by Thomas C. T. Ting


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