Complex Variable Methods
Complex variable theory provides a very powerful tool for the solution of many problems in elasticity. Such applications include solutions of the torsion problem and most importantly the plane problem discussed in Chapters 7 and 8. The technique is also useful for cases involving anisotropic and thermoelastic materials, and these are discussed in subsequent chapters. Employing complex variable methods enables many problems to be solved that would be intractable by other schemes. The method is based on the reduction of the elasticity boundary-value problem to a formulation in the complex domain. This formulation then allows many powerful mathematical techniques available from complex variable theory to be applied to ...
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