Complex Variable Method in Linear Elasticity

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Complex variable techniques for solving problems in two

dimensional elasticity

Short introduction to complex variable techniques

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Real and imaginary parts of analytic functions satisfy the harmonic equation

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Equations of elasticity in terms of complex variables

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Examples of simple potentials

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Solving plane problems using Taylors or Laurents series

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Example: traction free circular hole in an infinite

plate

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Problems on discs: use of the Cauchy theorems

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Circular disc with concentrated loads

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Solutions through conformal mapping

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