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- W4320026073 abstract "Abstract The concepts of stress and strain are properly represented by tensors. This chapter introduces the formal mathematical definition of a second-order tensor. Components of tensors with respect to an orthonormal basis are discussed, as are numerous important special tensor operations and types, such as transpose, symmetric and skew-symmetric tensors, trace, deviatoric tensors, tensor inner products, and tensor magnitudes. The matrix of tensor components is discussed. The transformation rules for components of a vector and a tensor under a change in basis are presented. Further, eigenvalues and eigenvectors of symmetric tensors are discussed, and expressions for tensor invariants are presented." @default.
- W4320026073 created "2023-02-12" @default.
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- W4320026073 date "2022-12-13" @default.
- W4320026073 modified "2023-09-26" @default.
- W4320026073 title "Stress and strain are symmetric second-order tensors" @default.
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- W4320026073 doi "https://doi.org/10.1093/oso/9780192866073.003.0005" @default.
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