In the linear elastic range the relationship between stress and strain components for an isotropic solid is the following
$$ {\sigma _{{ij}}} = \lambda {\varepsilon _{{kk}}}{\sigma _{{ij}}} + 2\mu {\varepsilon _{{ij}}}, $$
where λ is the Lame constant,
$$ \lambda = \frac{{Ev}}{{(1 + v)(1 - 2v)}} $$
μ = G is the shear modulus of elasticity, E is Young’s modulus and v is Poisson’s ratio.

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© Springer-Verlag London Limited 1992

Authors and Affiliations

  • Andrzej Służalec
    • 1
  1. 1.Technical University of CzęstochowaCzęstochowaPoland

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