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Elastostatics with Displacements as Unknowns

  • P. Karasudhi
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 3)

Abstract

The Cartesian field equations for the elastostatics of an isotropic solid in plane strain may be obtained as a special case of Eq. 3.66, namely
$$\mu \left( {{\nabla ^2}{u_i} + \frac{1}{{1 - 2\nu }}{\varepsilon _{kk,i}}} \right) + {X_i} = 0,(i,k = 1,2)$$
(6.1)
where
$$\mu \left( {{\nabla ^2}{u_i} + \frac{1}{{1 - 2\nu }}{\varepsilon _{kk,i}}} \right) + {X_i} = 0,(i,k = 1,2)$$
(6.2a)
$${\varepsilon _{kk}} = \frac{{\partial {u_1}}}{{\partial {x_1}}} + \frac{{\partial u2}}{{\partial {x_2}}}$$
(6.2b)

Keywords

Half Space Half Plane Solid Mechanics Shear Traction Dual Integral Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • P. Karasudhi
    • 1
  1. 1.Asian Institute of TechnologyBangkokThailand

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