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A note on isotropic elastic response

โœ Scribed by M. M. Carroll

Publisher
Springer Netherlands
Year
1983
Tongue
English
Weight
126 KB
Volume
13
Category
Article
ISSN
0374-3535

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โœฆ Synopsis

For an important class of incompressible isotropic elastic solids, the response function for the extra stress is a (tensor-valued) function of scalar type. It is shown here that the stress response for compressible isotropie elastic solids cannot be of scalar type.

๐Ÿ“œ SIMILAR VOLUMES

A note on undistorted states of isotropi
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โœ M. Aron ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 289 KB

Non-homogeneous conformal deformations are shown to be possible in an isotropic elastic material in the absence of body forces if and only if the material satisfies a certain condition which renders it incapable of obeying the classical pressure-compression inequality. The undistorted states of mate

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โœ T. Hueckel; E. Tutumluer; R. Pellegrini ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 746 KB

An empirically established rule of Wroth' for the dependence of the shear modulus on the mean effective pressure and the overconsolidation ratio in clays is investigated within the framework of non-linear elasticity. The resulting isotropic-deviatoric coupling is derived and compared to experiments.

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## Abstract This is the first contribution in a new series of __Historical Notes__ on seminal concepts in earthquake engineering and structural dynamics. It records the origins and early developments (up to the late 1960's) of the elastic response spectrum. Copyright ยฉ 2006 John Wiley & Sons, Ltd.