iMechanica - Cauchy
https://imechanica.org/taxonomy/term/130
enAugustin Louis Cauchy (August 21, 1789 – May 23, 1857)
https://imechanica.org/node/121
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><strong>Augustin Louis Cauchy</strong> ( 21 August 1789 - 23 May 1857) was a French mathematician and mechanician. In mechanics, he in 1822 formalized the stress concept in the context of three-dimensional thoery, showed its properties as consisting of a 3 by 3 symmetric arrays of numbers that transform as a tensor, derived the equations of motion for a continuum in terms of the components of stress, and gave the specific development of the theory of linear elasticity for isotropic solids. As part of his work, Cauchy also introduced the equations which express the six components of strain, three extensinal and three shear, in terms of derivatives of displacements for the case when all those derivatives are much smaller than unity; similar expressions had been given earlier by Euler in expressing rates of straining in terms of the derivatives of the velocity field in a fluid. (cited from <em>Mechanics of Solids</em> by J.R. Rice) <a href="http://en.wikipedia.org/wiki/Cauchy" class="links">Read more...</a> </p>
</div></div></div><div class="field field-name-taxonomyextra field-type-taxonomy-term-reference field-label-above"><div class="field-label">Taxonomy upgrade extras: </div><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/75">mechanician</a></div><div class="field-item odd"><a href="/taxonomy/term/130">Cauchy</a></div><div class="field-item even"><a href="/taxonomy/term/131">stress</a></div><div class="field-item odd"><a href="/taxonomy/term/132">strain</a></div><div class="field-item even"><a href="/taxonomy/term/133">equation of motion</a></div></div></div>Sun, 10 Sep 2006 16:51:17 +0000Zhen Zhang121 at https://imechanica.orghttps://imechanica.org/node/121#commentshttps://imechanica.org/crss/node/121