Quintela-Estevez, P. 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 Appl. Anal. 39, No. 2-3, 151-164 (1990). [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 Cited in 3 Documents MSC: 74K20 Plates 74B20 Nonlinear elasticity 35R25 Ill-posed problems for PDEs Keywords:limit problem; thickness converges to zero; ill-posed problem Citations:Zbl 0683.73027 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Bensoussan A, Studies in mathematics and its applications 15 (1978) [2] Ciarlet P.G, Proceedings. International Symposium of Numerical Analusis 15 (1978) [3] Ciarlet P.G, Mathematical Elasticity 1 (1988) [4] Ciarlet P.G, Lecture Notes in Mathematics 826 (1980) · Zbl 0433.73019 · doi:10.1007/BFb0091528 [5] Choquet-Bruhat Y., Analysis. Manifolds and Physics 826 (1980) [6] Duvaut G, Les inequations en Mecanioue et en Phusioue (1972) [7] DOI: 10.1016/0020-7683(84)90044-1 · Zbl 0532.73055 · doi:10.1016/0020-7683(84)90044-1 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.