A theory of composites perspective on matrix valued Stieltjes functions

2022/06/06 by Milton, Graeme W., Putinar, Mihai · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2206.02926

Abstract

A series of physically motivated operations appearing in the study of composite materials are interpreted in terms of elementary continued fraction transforms of matrix valued, rational Stieltjes functions.

Cited by

• A continued fraction approximation for the effective elasticity tensor of two-dimensional polycrystals as a function of the crystal elasticity tensor

Related

• Exact and "exact" formulae in the theory of composites
• Generalized Stieltjes transforms: basic aspects
• On nonstandard Pade approximants suitable for effective properties of two-phase composite materials
• Unified Micromechanics Theory of Composites
• Mocposite functions