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Local Geometry of Deformation

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Lecture Notes on the Theory of Plates and Shells

Abstract

In this chapter, we describe the deformation of continua and define the strain and stress tensors. Then, we review the main results of the differential geometry of surfaces in the Euclidean space.

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References

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Correspondence to Mircea Bîrsan .

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Steigmann, D.J., Bîrsan, M., Shirani, M. (2023). Local Geometry of Deformation. In: Lecture Notes on the Theory of Plates and Shells. Solid Mechanics and Its Applications, vol 274. Springer, Cham. https://doi.org/10.1007/978-3-031-25674-5_2

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