Approximating the Effective Tensor as a Function of the Component Tensors in Two-Dimensional Composites of Two Anisotropic Phases
From MaRDI portal
Publication:4570969
DOI10.1137/17M1130356zbMath1393.35012arXiv1705.02633OpenAlexW2963752297WikidataQ114074321 ScholiaQ114074321MaRDI QIDQ4570969
Publication date: 5 July 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.02633
Spectral theory and eigenvalue problems for partial differential equations (35Pxx) General topics in optics and electromagnetic theory (78Axx) Elliptic equations and elliptic systems (35Jxx) Homogenization, determination of effective properties in solid mechanics (74Qxx) Inner product spaces and their generalizations, Hilbert spaces (46Cxx)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Improved rigorous bounds on the effective elastic moduli of a composite material
- The general theory of homogenization. A personalized introduction
- Multicomponent composites, electrical networks and new types of continued fraction. I
- Multicomponent composites, electrical networks and new types of continued fraction. II
- Variational methods for structural optimization
- The Elastic Moduli of Heterogeneous Materials
- Iterated homogenization, differential effective medium theory and applications
- A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
- Estimates for the averaged matrix and the averaged tensor
- Multiphase interchange inequalities
- The exact coupled bounds for effective tensors of electrical and magnetic properties of two-component two-dimensional composites
- On the effective viscoelastic moduli of two–phase media. II. Rigorous bounds on the complex shear modulus in three dimensions
- On the effective viscoelastic moduli of two–phase media. III. Rigorous bounds on the complex shear modulus in two dimensions
- On the effective viscoelastic moduli of two-phase media. I. Rigorous bounds on the complex bulk modulus
- ERRATA
- Variational principles for complex conductivity, viscoelasticity, and similar problems in media with complex moduli
- Modelling the effective conductivity function of an arbitrary two–dimensional polycrystal using sequential laminates
- A continued fraction representation for the effective conductivity of a two-dimensional polycrystal
- The Theory of Composites
- On characterizing the set of possible effective tensors of composites: The variational method and the translation method
- Optimal bounds correlating electric, magnetic and thermal properties of two-phase, two-dimensional composites
- A Theorem on the Conductivity of a Composite Medium
- Bounds on the complex permittivity of polycrystalline materials by analytic continuation
- Random heterogeneous materials. Microstructure and macroscopic properties
- Shape optimization by the homogenization method