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A new model for nonlinear elastic plates with rapidly varying thickness. II: The effect of the behavior of the forces when the thickness approaches zero. (English) Zbl 0687.73061
[For part I, see ibid. 32, No.2, 107-127 (1989; Zbl 0683.73027).]
We consider a family of nonlinear elastic plates with rapidly varying thickness under the assumption that the three-dimensional constitutive equation is linear with respect to the “full” strain tensor (St. Venant-Kirchhoff material). The main goal of this paper is to show that the limit problem, when the mean plate thickness converges to zero, may be an ill-posed problem if the forces do not behave in an appropriate manner.
Reviewer: P.Quintela-Estevez

74K20 Plates
74B20 Nonlinear elasticity
35R25 Ill-posed problems for PDEs
Full Text: DOI
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[7] DOI: 10.1016/0020-7683(84)90044-1 · Zbl 0532.73055
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