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This lecture delves into the Stroh formulation for anisotropic elasticity, focusing on 2D plane solutions. The presentation discusses the challenges in current solution techniques, emphasizing the need for completeness in representations. The Stroh solution is presented, addressing the relaxation of plane strain constraints and seeking generalized solutions. The lecture explores the governing equations, stress calculations, and the significance of eigenvectors in obtaining solutions. Various aspects of the Stroh formulation are analyzed, highlighting the complexities and evolving nature of anisotropic elasticity.