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Some results on incompressible linear hyperelastic media. (English) Zbl 0587.73029

In this work, the authors studied the system of equations governing the motion of an unbounded and incompressible elastic body. Utilizing some energy inequalities, the authors proved the work and energy theorems and a uniqueness theorem under very mild assumptions on the acoustic tensor and the pressure. They have finally shown that the classical Graffi theorem also holds for this kind of elastic bodies.
This work might be very useful for those researchers working in the area of constrained elastic materials.
Reviewer: H.Demiray

MSC:

74B99 Elastic materials
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
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