By Haojiang Ding

This ebook goals to supply a entire advent to the speculation and purposes of the mechanics of transversely isotropic elastic fabrics. there are numerous the reason why it's going to be written. First, the speculation of transversely isotropic elastic fabrics is a vital department of utilized arithmetic and engineering technological know-how; yet as a result of problems as a result of anisotropy, the mathematical remedies and outlines of person difficulties were scattered during the technical literature. This usually hinders additional improvement and purposes. consequently, a textual content which could current the speculation and answer technique uniformly is critical. Secondly, with the swift improvement of recent applied sciences, the idea of transversely isotropic elasticity has turn into more and more very important. as well as the fields with which the speculation has frequently been linked, comparable to civil engineering and fabrics engineering, many rising applied sciences have demanded the advance of transversely isotropic elasticity. a few fast examples are skinny movie expertise, piezoelectric know-how, functionally gradient fabrics expertise and people concerning transversely isotropic and layered microstructures, corresponding to multi-layer platforms and tribology mechanics of magnetic recording units. therefore a unified mathematical therapy and presentation of resolution tools for quite a lot of mechanics types are of basic value to either technological and monetary progress.

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Extra info for Elasticity of Transversely Isotropic Materials

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This is described briefly in the paper by Chen and Cohen [14]. 6. ELASTIC-PLASTIC-DAMAGE THEORY AS THE NEXT LOGICAL STEP Although a large number of constitutive models for concrete materials have been developed in recent years, realistic applicative models that are rational, reliable and practical and can be directly implemented into a general purpose finite element analysis code with relative ease, are still very limited. A rational concrete model should be able to describe adequately the main characteristics of the complete constitutive behavior of concrete materials, ranging from a ten­ sion and lower confining pressure state to a very high confining pressure state, as well as from the pre-failure regime to the post-failure regime.

In addition, it is seen that the response during reverse trans­ formation not only depends on p-^m loading path but also depends on elastic unload­ ing path, differing from those under proportional loadings. It must be pointed out that although the above theoretical analysis seems physically reasonable, it still remains to be verified by experiments. 2 Ferroelasticity and second kind of reorientation In addition to the case of pseudoelasticity by p - ^ m ^ p transformations at high tem­ peratures, SMA can exhibit inelastic deformation at low temperatures by first and sec­ ond kinds of reorientations.

Biswas and W. A. Knight, Proc. 15th Int. , 135 (1974). 8. N. Akgerman and T. Altan, SME Technical Paper, No. 72-110, April 1972. 9. G. B. A. Dean, Int. J. Mach. Tool Des. , 25* 1 (1985). 10. K. Lange and G. Du, Proceedings NAMRC, 17,1989. 11. S. Kobayashi, S. I. Oh and T. Altan, "Metal Forming and the Finite Element Method", Oxford University Press, 1989. 12. Beom-Soo Kang, J. Materials Processing Technology, 27,213 (1991). 13. Metals Handbook, Forming and Forging, American Society of Metals. Ninth Edition, H, 94.

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