An irreducible polynomial functional basis of two-dimensional Eshelby tensors

doi:10.1007/s10483-019-2502-6

Abstract

Abstract: The two-dimensional (2D) Eshelby tensors are discussed. Based upon the complex variable method, an integrity basis of ten isotropic invariants of the 2D Eshelby tensors is obtained. Since an integrity basis is always a polynomial functional basis, these ten isotropic invariants are further proven to form an irreducible polynomial functional basis of the 2D Eshelby tensors.

Key words: relative motion, inertial force, generalized force, invariance, Eshelby tensor, representation theorem, irreducible functional basis, isotropic invariant

2010 MSC Number:

Zhenyu MING, Liping ZHANG, Yannan CHEN. An irreducible polynomial functional basis of two-dimensional Eshelby tensors. Applied Mathematics and Mechanics (English Edition), 2019, 40(8): 1169-1180.

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