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Affine response functions for the stress at incompressible elastic points. (English) Zbl 0891.73007

The author studies the title problem at an incompressible elastic point under the assumptions on the response function given by G. Cohen and C.-C. Wang [Arch. Ration. Mech. Anal. 99, 1-36 (1987; Zbl 0629.73003)]. The main result is that the weakening of these assumptions does not widen the class of incompressible affine elastic points. The author finds the most general form of the affine response functions for the Cauchy stress and for the Piola-Kirchhoff stress at incompressible elastic points.

MSC:

74B10 Linear elasticity with initial stresses
74A20 Theory of constitutive functions in solid mechanics

Citations:

Zbl 0629.73003
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