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This lecture covers the topic of hyperelasticity, focusing on constitutive models for isotropic hyperelastic materials. It discusses the Blatz and Ko model for compressible materials, the Neo-Hookean, Mooney Rivlin, and Gent models, and the small strain limit. The lecture explains the concepts of principal stretches, incompressibility, and the true Cauchy stress response. It also delves into the determination of Young's Modulus E and the stiffness response in hyperelastic materials.