Some open problems in the theory of composites
Graeme W. Milton
TL;DR
This paper discusses open problems in composite material theory, focusing on effective tensor characterization, conductivity, elasticity, and future research directions in wave equations.
Contribution
It highlights unresolved questions in the field, especially regarding the effective tensors of 2D composites with complex geometries and their relation to hierarchical laminates.
Findings
Open problem on effective tensors of 2D composites
Questions on conductivity and elasticity of composites
Future directions in wave equations for composites
Abstract
A selection of open problems in the theory of composites is presented. Particular attention is drawn to the question of whether two-dimensional, two-phase, composites with general geometries have the same set of possible effective tensors as those of hierarchical laminates. Other questions involve the conductivity and elasticity of composites. Finally, some future directions for wave and other equations are mentioned.
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