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您的检索式：作者名="Wennan ZOU"
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| 1 | Isotropic polynomial invariants of Hall tensor显示文摘The Hall tensor emerges from the study of the Hall effect, an important magnetic effect observed in electric conductors and semiconductors. The Hall tensor is third-order and three-dimensional, whose first two indices are skew-symmetric. This paper investigates the isotropic polynomial invariants of the Hall tensor by connecting it with a second-order tensor via the third-order Levi-Civita tensor. A minimal isotropic integrity basis with 10 invariants for the Hall tensor is proposed. Furthermore, it is proved that this minimal integrity basis is also an irreducible isotropic function basis of the Hall tensor. | Jinjie LIU Weiyang DING Liqun QI Wennan ZOU | 2018 | Applied Mathematics and Mechanics(English Edition)2018，39，12： | 1 |
| 2 | Irreducible function bases of isotropic invariants of a third order three-dimensional symmetric and traceless tensor显示文摘Third order three-dimensional symmetric and traceless tensors play an important role in physics and tensor representation theory. A minimal integrity basis of a third order three-dimensional symmetric and traceless tensor has four invariants with degrees two, four, six, and ten, respectively. In this paper, we show that any minimal integrity basis of a third order three-dimensional symmetric and traceless tensor is also an irreducible function basis of that tensor, and there is no syzygy relation among the four invariants of that basis, i.e., these four invariants are algebraically independent. | Yannan CHEN Shenglong HU Liqun QI Wennan ZOU | 2019 | Frontiers of Mathematics in China2019，14，1： | 0 |
| 3 | LIMITATION OF AVERAGE ESHELBY TENSOR AND ITS APPLICATION IN ANALYSIS OF ELLIPSE APPROXIMATION显示文摘By the aid of irreducible decomposition, the average Eshelby tensor can be expressed by two complex coefficients in 2D Eshelby problem. This paper proved the limitation of complex coefficients based on the span of elastic strain energy density. More discussions yielded the constraints on the sampling of module and phase difference of complex coefficients. Using this information, we obtained that the maximum relative error is 65.78% after an ellipse approximation. These results, as a supplement to our previous paper, further implied that Eshelby's solution for an ellipsoidal inclusion could not be applied to non-ellipsoidal inclusions without taking care. | Wennan Zou | 2011 | Acta Mechanica Solida Sinica2011，24，2： | 0 |
| 4 | Recasting theory of elasticity with micro-finite elements显示文摘In the classical theory of elasticity,a body is initially modeled as a homogeneous and dense assemblage of constituent 'material particles'.The kernel concept of elastic deformation is the displacement of the particle that associates the current configuration with the reference one.In this paper,we exploit an alternative constituent 'micro-finite element',and use the stretch of the element as the essential quality to recast the theory of elasticity.It should be realized that such a treatment means that the elastic body can be modeled as a finite covering of elements and consequently characterized by a manifold.The recasting of the elasticity theory becomes more feasible for dealing with defects and topological evolution. | Wennan Zou | 2015 | Acta Mechanica Sinica2015，31，5： | 0 |
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