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- W4230673571 abstract "This chapter presents the concepts of nonlinear elasticity. In elasticity, two point tensor fields in Euclidean space are frequently encountered. One way of developing tensor analysis in Euclidean space is to introduce and study base vectors, which helps in picturing the results. Tensor analysis is efficient and better adapted to treat problems involving spaces that are not Euclidean. There are certain solutions in nonlinear elasticity that have no counterpart in the linear theory, the reason being that the linear theory is inadequate to treat certain types of physical problems. The chapter extends complex variable methods used in linear elasticity to nonlinear elasticity and focuses on second order approximations, in particular. It contains an extensive list of references to work on torsion problems as well as some general results for small torsion of a rod of arbitrary cross-section combined with finite simple extension or with a hydrostatic pressure." @default.
- W4230673571 created "2022-05-11" @default.
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- W4230673571 date "1956-01-01" @default.
- W4230673571 modified "2023-10-14" @default.
- W4230673571 title "Nonlinear Elasticity" @default.
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- W4230673571 doi "https://doi.org/10.1016/s0065-2156(08)70371-5" @default.
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