Complex Variable Method in Linear Elasticity

5/27/2018 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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Complex Variable Method in Linear Elasticity