[HTML][HTML] C-eigenvalue inclusion theorems for piezoelectric-type tensors
H Che, H Chen, Y Wang - Applied Mathematics Letters, 2019 - Elsevier
C-eigenvalues and C-eigenvectors of piezoelectric-type tensors play an important role in
piezoelectric effect and converse piezoelectric effect. In this article, with the help of …
piezoelectric effect and converse piezoelectric effect. In this article, with the help of …
[HTML][HTML] M-eigenvalue intervals and checkable sufficient conditions for the strong ellipticity
Some M-eigenvalue intervals of fourth-order structured partially symmetric tensors (PSTs)
are established to provide some checkable sufficient conditions for the strong ellipticity (also …
are established to provide some checkable sufficient conditions for the strong ellipticity (also …
Conditions of strong ellipticity and calculations of M-eigenvalues for a partially symmetric tensor
J Zhao - Applied Mathematics and Computation, 2023 - Elsevier
Strong ellipticity condition (SE-condition) of the equilibrium equations for general nonlinear
elastic materials can be equivalently transformed into the SE-condition of a partially …
elastic materials can be equivalently transformed into the SE-condition of a partially …
M‐Eigenvalues‐Based Sufficient Conditions for the Positive Definiteness of Fourth‐Order Partially Symmetric Tensors
G Wang, L Sun, L Liu - Complexity, 2020 - Wiley Online Library
M‐eigenvalues of fourth‐order partially symmetric tensors play important roles in the
nonlinear elastic material analysis and the entanglement problem of quantum physics. In …
nonlinear elastic material analysis and the entanglement problem of quantum physics. In …
Criteria for the strong ellipticity condition of a partially symmetric tensor
C Sang, J Zhao - Acta Applicandae Mathematicae, 2022 - Springer
Strong ellipticity condition of the equilibrium equations for general nonlinear elastic
materials plays a significant role in the theory of elasticity. Existing literature shows that it can …
materials plays a significant role in the theory of elasticity. Existing literature shows that it can …
Parameterized S-type M-eigenvalue inclusion intervals for fourth-order partially symmetric tensors and its applications.
K Liu, H Che, H Chen, M Li - Journal of Industrial & …, 2023 - search.ebscohost.com
In this article, based on M-identity tensor, we establish some parameterized S-type inclusion
intervals for fourth-order partially symmetric tensors. The new inclusion intervals are tighter …
intervals for fourth-order partially symmetric tensors. The new inclusion intervals are tighter …
An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors
Extremal M-eigenvalues of fourth-order partially symmetric tensors play an important role in
the nonlinear elastic material analysis and the entanglement problem in quantum physics. In …
the nonlinear elastic material analysis and the entanglement problem in quantum physics. In …
Programmable sufficient conditions for the strong ellipticity of partially symmetric tensors
S Li, Y Li - Applied Mathematics and Computation, 2021 - Elsevier
The condition for strong ellipticity of the equilibrium equations plays a significant role in the
theory of elasticity. For isotropic elastic materials and anisotropic linearly elastic materials …
theory of elasticity. For isotropic elastic materials and anisotropic linearly elastic materials …
A direct method for calculating M-eigenvalues of an elasticity tensor
J Zhao, Y Luo, C Sang - Japan Journal of Industrial and Applied …, 2024 - Springer
The strong ellipticity condition (abbr. SE-condition) of the displacement equations of
equilibrium for general nonlinearly elastic materials plays an important role in nonlinear …
equilibrium for general nonlinearly elastic materials plays an important role in nonlinear …
New S-type inclusion theorems for the M-eigenvalues of a 4th-order partially symmetric tensor with applications
J He, Y Liu, G Xu - Applied Mathematics and Computation, 2021 - Elsevier
Two new S-type inclusion theorems for the M-eigenvalues of a 4th-order partially symmetric
tensor are established. These inclusion theorems provide upper bounds for the M-spectral …
tensor are established. These inclusion theorems provide upper bounds for the M-spectral …