Cover Image

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

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Milton, Graeme W.
Format:	Preprint
Published:	2025
Subjects:	Materials Science Mathematical Physics Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Non-Hookean elasticity with arbitrary Poisson's ratios
by: Itskov, Mikhail
Published: (2026)

Interaction energies in nematic liquid crystal suspensions
by: Bronsard, Lia, et al.
Published: (2025)

Spectral theory of effective transport for continuous uniaxial polycrystalline materials
by: Murphy, N. Benjamin, et al.
Published: (2024)

Rapidly convergent series expansions for a class of resolvents
by: Milton, Graeme W.
Published: (2024)

Recovering elastic subdomains with strain-gradient elastic interfaces from force measurements: the antiplane shear setting
by: Granados, Govanni, et al.
Published: (2025)

Wrinkling of an elastic sheet floating on a liquid sphere
by: Bella, Peter, et al.
Published: (2023)

Deformation of a planar ferromagnetic elastic ribbon
by: Avatar, G R Krishna Chand, et al.
Published: (2024)

Propagation of Love waves in linear elastic isotropic Cosserat materials
by: Apetrii, Marius, et al.
Published: (2025)

A Hidden Convexity of Nonlinear Elasticity
by: Singh, Siddharth, et al.
Published: (2024)

Cauchy problem for the localized wave propagation in continuous model of the one-dimensional diatomic crystal
by: Sergeev, Sergey
Published: (2025)

New approach for elastic collisions with singular stress functions
by: Aiki, Toyohiko, et al.
Published: (2026)

Improved convergence of Landau-de Gennes minimizers in the vanishing elasticity limit
by: Fu, Haotong, et al.
Published: (2025)

Second-gradient models for incompressible viscous fluids and associated cylindrical flows
by: Balitactac, C., et al.
Published: (2025)

Irreversibility condition and stability of equilibria in the inverse-deformation approach to fracture
by: Gupta, Arnav
Published: (2025)

Ideal Magnetohydrodynamics and Field Dislocation Mechanics
by: Acharya, Amit
Published: (2024)

Stress concentration via quasi-Minnaert resonance in bubble-elastic structures and applications
by: Tang, Ruixiang, et al.
Published: (2025)

Analytic shape recovery of an elastic inclusion from elastic moment tensors
by: Cho, Daehee, et al.
Published: (2024)

Uniform estimates of Landau-de Gennes minimizers in the vanishing elasticity limit with line defects
by: Fu, Haotong, et al.
Published: (2025)

On the inverse elastic problem for isotropic media using Eshelby and Lippmann-Schwinger integral formulations
by: Gintides, Drossos, et al.
Published: (2025)

Applications of the Green tensor estimates of the nonstationary Stokes system in the half space
by: Kang, Kyungkeun, et al.
Published: (2024)

Computational modelling of complex multiphase behavior of environmentally-friendly materials for sustainable technological solutions
by: Akshayveer, Akshayveer, et al.
Published: (2024)

The Born approximation in the three-dimensional Calderón problem
by: Barceló, Juan A., et al.
Published: (2021)

Practical tensor calculus on embedded submanifolds of arbitrary codimension
by: Yushutin, Vladimir
Published: (2026)

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions
by: Ammari, Habib, et al.
Published: (2025)

On photonic band gaps in two-dimensional photonic crystal fibres. Analysis in the vicinity of the low-dielectric light line
by: Cooper, Shane, et al.
Published: (2025)

Quasilinearization with regularizing tensor paraproducts
by: Fasina, Oluwadamilola
Published: (2025)

Two-term spectral asymptotics in linear elasticity on a Riemannian manifold
by: Liu, Genqian
Published: (2022)

On the steadiness of symmetric solutions to two dimensional dispersive models
by: Pei, Long, et al.
Published: (2024)

Inverse coefficient problems for one-dimensional time-fractional diffusion equations
by: Imanuvilov, Oleg, et al.
Published: (2024)

Interaction energies in paranematic colloids
by: Golovaty, Dmitry, et al.
Published: (2023)

Yet another best approximation isotropic elasticity tensor in plane strain
by: Voss, Jendrik, et al.
Published: (2024)

Steady supersonic combustion flows with a contact discontinuity in two-dimensional finitely long nozzles
by: Gao, Junlei, et al.
Published: (2024)

Inverse problem of determining the right-hand side of a one-dimensional fractional diffusion equation with variable coefficients
by: Durdiev, D. K.
Published: (2024)

The one-dimensional equilibrium shape of a crystal
by: Indrei, Emanuel
Published: (2025)

Derivations of two one-dimensional models for transversely curved shallow shells: one leads to relaxation
by: Roberto, Paroni, et al.
Published: (2025)

Observability inequality for the von Neumann equation in crystals
by: Borsoni, Thomas, et al.
Published: (2025)

The point scatterer approximation for wave dynamics
by: Mantile, Andrea, et al.
Published: (2024)

The analysis of resonant frequencies and blow-up estimates of close-to-touching subwavelength resonators in the two-dimensional Helmholtz system
by: Dong, Hongjie, et al.
Published: (2025)

Revised identification of strain gradient elastic parameters
by: Placidi, Luca, et al.
Published: (2025)

Dissipation concentration in two-dimensional fluids
by: De Rosa, Luigi, et al.
Published: (2025)