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An irreducible polynomial functional basis of two-dimensional Eshelby tensors

An irreducible polynomial functional basis of two-dimensional Eshelby tensors
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摘要 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. 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2019年第8期1169-1180,共12页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China(Nos.11271221,11771244,11571178,and 11771405)
关键词 Eshelby TENSOR representation theorem IRREDUCIBLE FUNCTIONAL BASIS ISOTROPIC INVARIANT Eshelby tensor representation theorem irreducible functional basis isotropic invariant
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