Abstract
In the theory of elasticity an elastic potential (strain-energy function W) is assumed, from which the constitutive equations can be derived by using the relation σij = ∂W/∂εij, where are appropriately defined stress and strain tensors, respectively. In the isotropic special case, when the elastic constitutive equation can be represented as an isotropic tensor function
the elastic potential is a scalar-valued function only of the strain tensor and can be represented in the form W = W(S1, S2 S3), where S1, S2 S3 are the basic invariants of the strain tensor (finite or infinitesimal strain tensor). In [1] it has been shown in detail that the scalar coefficients in (1) can be expressed through the elastic potential:
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References
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© 1987 Springer-Verlag Wien
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Betten, J. (1987). Tensor Function Theory and Classical Plastic Potential. In: Boehler, J.P. (eds) Applications of Tensor Functions in Solid Mechanics. International Centre for Mechanical Sciences, vol 292. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2810-7_14
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DOI: https://doi.org/10.1007/978-3-7091-2810-7_14
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81975-3
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