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• W2950311805 abstract "Representation theorems for both isotropic and anisotropic functions are of prime importance in both theoretical and applied mechanics. The Eshelby inclusion problem is very fundamental, and is of particular importance in the design of advanced functional composite materials. In this paper, we discuss about two-dimensional Eshelby tensors (denoted as $M^{(2)}$). Eshelby tensors satisfy the minor index symmetry $M_{ijkl}^{(2)}=M_{jikl}^{(2)}=M_{ijlk}^{(2)}$ and have wide applications in many fields of mechanics. In view of the representation of two-dimensional irreducible tensors in complex field, we obtain a minimal integrity basis of ten isotropic invariants of $M^{(2)}$. Remarkably, note that an integrity basis is always a functional basis, we further confirm that the minimal integrity basis is also an irreducible function basis of isotropic invariants of $M^{(2)}$." @default.
• W2950311805 created "2019-06-27" @default.
• W2950311805 creator A5006977467 @default.
• W2950311805 creator A5067028141 @default.
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• W2950311805 date "2018-03-16" @default.
• W2950311805 modified "2023-10-18" @default.
• W2950311805 title "An Irreducible Polynomial Functional Basis of Two-dimensional Eshelby Tensors" @default.
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• W2950311805 doi "https://doi.org/10.48550/arxiv.1803.06106" @default.
• W2950311805 hasPublicationYear "2018" @default.
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