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A note on plane strain and plane stress problems for a new class of elastic bodies. (English) Zbl 1257.74022

Summary: We explore the consequences of prescribing constitutive relations for elastic bodies wherein “deformations” are given as functions of “stresses”. For this class of constitutive relations in, the particular case of small deformations, we study boundary value problems for plane strain and plane stresses, and we develop a weak formulation that can be considered as the starting point for numerical computations.

MSC:

74B99 Elastic materials
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References:

[1] Rajagopal, K.R., Applications of Mathematics 48 pp 279– (2003) · Zbl 1099.74009
[2] Rajagopal, K.R., Proceedings of the Royal Society A 463 pp 357– (2007) · Zbl 1129.74010
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