Abstract
Three-dimensional equations of elasticity theory composed for the case of finite displacements and deformations of solids have been analyzed. It is found that the generally accepted simplifications known in the literature and carried out for the case of small deformations result in equations that are considered to be absolutely correct and consistent in all scientific and educational literature on mechanics of deformable solid bodies.
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Paimushin, V., Chate, A.K., Kholmogorov, S., Makarov, M., Gazizullin, R. (2024). Geometric Nonlinearity and Stability Problems in Mechanics of Deformable Solids. In: Multiscale Buckling Modes in the Mechanics of Fiber-Reinforced Plastics. Advanced Structured Materials, vol 207. Springer, Cham. https://doi.org/10.1007/978-3-031-48216-8_1
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