M-eigenvalue intervals and checkable sufficient conditions for the strong ellipticity
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Publication:2187083
DOI10.1016/j.aml.2019.106137OpenAlexW2983460791WikidataQ126797644 ScholiaQ126797644MaRDI QIDQ2187083
Chaoqian Li, Jun He, Yi-Min Wei
Publication date: 2 June 2020
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2019.106137
Vector and tensor algebra, theory of invariants (15A72) Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)
Related Items (14)
Bounds of M-eigenvalues and strong ellipticity conditions for elasticity tensors ⋮ Criteria for the strong ellipticity condition of a partially symmetric tensor ⋮ New M-eigenvalue intervals and application to the strong ellipticity of fourth-order partially symmetric tensors ⋮ Conditions of strong ellipticity and calculations of M-eigenvalues for a partially symmetric tensor ⋮ Shifted inverse power method for computing the smallest M-eigenvalue of a fourth-order partially symmetric tensor ⋮ An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors ⋮ A direct method for calculating M-eigenvalues of an elasticity tensor ⋮ Bound estimations of bi-block \(M\)-eigenvalues for bi-block symmetric tensors ⋮ New M-eigenvalue inclusion sets for fourth-order partially symmetric tensors with applications ⋮ \(M\)-eigenvalues-based sufficient conditions for the positive definiteness of fourth-order partially symmetric tensors ⋮ Bi-block positive semidefiniteness of bi-block symmetric tensors ⋮ New lower bounds for the minimum M-eigenvalue of elasticity M-tensors and applications ⋮ Sharp bounds on the minimum \(M\)-eigenvalue and strong ellipticity condition of elasticity \(Z\)-tensors-tensors ⋮ Pareto eigenvalue inclusion intervals for tensors
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