Fourth-order moments of nonnegative measures on \(S^ 2\) and applications
From MaRDI portal
Publication:1905660
DOI10.1007/BF00380913zbMath0869.73006MaRDI QIDQ1905660
François Murat, Luc Tartar, Gilles A. Francfort
Publication date: 10 January 1996
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
effective propertiesRadon measureweak limitatomic measuresfive Dirac massesHilbert decomposition theoremlinear second order elliptic systemmixtures of two phases
Inhomogeneity in solid mechanics (74E05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Elastic materials (74B99)
Related Items
Extremal eigenvalue problems for two-phase conductors, Phase transformations surfaces and exact energy lower bounds, Sandwich plates of minimal compliance, De-homogenization of optimal 2D topologies for multiple loading cases, On the phase space of fourth-order fiber-orientation tensors, A material optimization model to approximate energy bounds for cellular materials under multiload conditions, Plate microstructures with extreme stiffness for arbitrary multi-loadings, Optimization of structural topology in the high-porosity regime, Principal compliance and robust optimal design, On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials, Towards a complete characterization of the effective elasticity tensors of mixtures of an elastic phase and an almost rigid phase, Probabilistic effective characteristics of cables for superconducting coils, Gassmann equation and replacement relations in micromechanics: a review
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homogenization and optimal bounds in linear elasticity
- Variational bounds on the effective moduli of anisotropic composites
- A variational approach to the theory of the elastic behaviour of multiphase materials
- On the behavior of elastic composites with transverse isotropic symmetry
- Analysis of Composite Materials—A Survey
- Optimal Bounds on the Effective Bulk Modulus of Polycrystals
- Optimal Bounds and Microgeometries for Elastic Two-Phase Composites
- Discrete and Continuous Bang-Bang and Facial Spaces Or: Look for the Extreme Points
- Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials
- On characterizing the set of possible effective tensors of composites: The variational method and the translation method
