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References from Analytical formulae for effective antiplane properties of periodic piezoelectric composites with geometric convergence. Local targets link to admitted publications; unresolved targets remain external evidence.
Elements of the theory of elliptic functions
1990 · External reference
Homogenization and two-scale convergence
1992 · External reference
Shape optimization by the homogenization method
2002 · External reference
Deformable porous media with piezoelectric coupling
1992 · External reference
Unresolved reference
1978 · External reference
An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites
10.1016/j.ijsolstr.2005.03.016 · 2005 · External reference
Modelization and numerical approximation of piezoelectric thin shells: Part II: Approximation by finite element methods and numerical experiments
10.1016/s0045-7825(03)00362-1 · 2003 · External reference
Universal relations and effective coefficients of magneto-electro-elastic perforated structures
10.1093/qjmam/hbr020 · 2012 · External reference
Analytical formulae for electromechanical effective properties of 3-1 longitudinally porous piezoelectric materials
10.1016/j.actamat.2008.10.015 · 2009 · External reference
A novel homogenization method for periodic piezoelectric composites via diffused material interface
10.1080/15376494.2023.2219112 · 2024 · External reference
Microstructure-property relationships in piezoelectric-polymer composites: a review
10.1007/s10965-025-04264-9 · 2025 · External reference
Recursive multiscale homogenization of multiphysics behavior of fuzzy fiber composites reinforced by hollow carbon nanotubes
10.1177/1045389x221111545 · 2023 · External reference
Unresolved reference
1990 · External reference
Stresses in an elastic plane weakened by a doubly periodic set of circular holes
1964 · External reference
Unresolved reference
2010 · External reference
On the solution of infinite systems of linear algebraic equations in problems of wave scattering by gratings
2012 · External reference
A semi-analytical model for effective conductivity of parallelogram-periodic fibrous composites with circular inclusions
10.1016/j.ijengsci.2025.104448 · 2026 · External reference
Electro-mechanical moduli of three-phase fiber composites
10.1016/j.matlet.2007.12.007 · 2008 · External reference
Effective properties of piezoelectric composites with parallelogram periodic cells
10.1016/j.ijengsci.2011.12.009 · 2012 · External reference
Higher-order asymptotic homogenization for piezoelectric composites
10.1016/j.ijsolstr.2022.112092 · 2023 · External reference
Unresolved reference
1990 · External reference
A rigorous analytical method for doubly periodic cylindrical inclusions under longitudinal shear and its application
10.1016/s0167-6636(03)00010-3 · 2004 · External reference
The new exact self-consistent scheme for computing the effective properties of piezoelectric composites
2008 · External reference
On modelling electromagnetomechanical interactions in deformable solids
10.1007/s12572-009-0002-y · 2009 · External reference
Unresolved reference
2004 · External reference
Transport properties of doubly periodic arrays of circular cylinders and optimal design problems
10.1007/s00245-001-0013-y · 2001 · External reference
High-order contrast bounds for piezoelectric constants of two-phase fibrous composites
10.1137/23m1559907 · 2023 · External reference
Unresolved reference
1953 · External reference
Effective properties of viscoelastic piezoelectric materials using homogenisation on representative volume finite elements
2025 · External reference
Effective anti-plane properties of piezoelectric fibrous composites
10.1007/s00707-013-0890-6 · 2013 · External reference
Overall properties of elastic composites with periodic structure
2001 · External reference
Modeling 1-3 composite piezoelectrics: hydrostatic response
10.1109/58.184997 · 1993 · External reference
Extended locally exact homogenization theory for effective coefficients and localized responses of piezoelectric composites
10.1002/adem.202101194 · 2022 · External reference
Electric–mechanical coupling analysis of two-dimensional piezoelectric heterogeneous materials in flexible electric devices with extended multiscale isogeometric analysis
10.1016/j.euromechsol.2024.105430 · 2025 · External reference
An analytical method for piezoelectric composites containing doubly periodic piezoelectric fibers with ring-shaped cross-section under antiplane shear and its application
10.1016/j.commatsci.2014.02.036 · 2014 · External reference
Unified complex variable solution for the effective transport properties of composites with a doubly-periodic array of fibers
2016 · External reference
Analytical solution for doubly-periodic harmonic problems with circular inhomogeneities and superconducting or membrane-type interfaces
10.1016/j.euromechsol.2022.104556 · 2023 · External reference
Dynamic anti-plane analysis for an elliptic inclusion in an infinite piezoelectric strip
10.1080/17455030.2021.1999535 · 2024 · External reference
Extended locally exact homogenization theory for effective coefficients and localized responses of piezoelectric composites
10.1002/adem.202101194 · ExternalCitation · doi-reference
Transport properties of doubly periodic arrays of circular cylinders and optimal design problems
10.1007/s00245-001-0013-y · ExternalCitation · doi-reference
Effective anti-plane properties of piezoelectric fibrous composites
10.1007/s00707-013-0890-6 · ExternalCitation · doi-reference
Microstructure-property relationships in piezoelectric-polymer composites: a review
10.1007/s10965-025-04264-9 · ExternalCitation · doi-reference
On modelling electromagnetomechanical interactions in deformable solids
10.1007/s12572-009-0002-y · ExternalCitation · doi-reference
Analytical formulae for electromechanical effective properties of 3-1 longitudinally porous piezoelectric materials
10.1016/j.actamat.2008.10.015 · ExternalCitation · doi-reference
An analytical method for piezoelectric composites containing doubly periodic piezoelectric fibers with ring-shaped cross-section under antiplane shear and its application
10.1016/j.commatsci.2014.02.036 · ExternalCitation · doi-reference
Analytical solution for doubly-periodic harmonic problems with circular inhomogeneities and superconducting or membrane-type interfaces
10.1016/j.euromechsol.2022.104556 · ExternalCitation · doi-reference
Electric–mechanical coupling analysis of two-dimensional piezoelectric heterogeneous materials in flexible electric devices with extended multiscale isogeometric analysis
10.1016/j.euromechsol.2024.105430 · ExternalCitation · doi-reference
Effective properties of piezoelectric composites with parallelogram periodic cells
10.1016/j.ijengsci.2011.12.009 · ExternalCitation · doi-reference
A semi-analytical model for effective conductivity of parallelogram-periodic fibrous composites with circular inclusions
10.1016/j.ijengsci.2025.104448 · ExternalCitation · doi-reference
An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites
10.1016/j.ijsolstr.2005.03.016 · ExternalCitation · doi-reference
Higher-order asymptotic homogenization for piezoelectric composites
10.1016/j.ijsolstr.2022.112092 · ExternalCitation · doi-reference
Electro-mechanical moduli of three-phase fiber composites
10.1016/j.matlet.2007.12.007 · ExternalCitation · doi-reference
Modelization and numerical approximation of piezoelectric thin shells: Part II: Approximation by finite element methods and numerical experiments
10.1016/s0045-7825(03)00362-1 · ExternalCitation · doi-reference
A rigorous analytical method for doubly periodic cylindrical inclusions under longitudinal shear and its application
10.1016/s0167-6636(03)00010-3 · ExternalCitation · doi-reference
A novel homogenization method for periodic piezoelectric composites via diffused material interface
10.1080/15376494.2023.2219112 · ExternalCitation · doi-reference
Dynamic anti-plane analysis for an elliptic inclusion in an infinite piezoelectric strip
10.1080/17455030.2021.1999535 · ExternalCitation · doi-reference
Universal relations and effective coefficients of magneto-electro-elastic perforated structures
10.1093/qjmam/hbr020 · ExternalCitation · doi-reference
Modeling 1-3 composite piezoelectrics: hydrostatic response
10.1109/58.184997 · ExternalCitation · doi-reference
High-order contrast bounds for piezoelectric constants of two-phase fibrous composites
10.1137/23m1559907 · ExternalCitation · doi-reference
Recursive multiscale homogenization of multiphysics behavior of fuzzy fiber composites reinforced by hollow carbon nanotubes
10.1177/1045389x221111545 · ExternalCitation · doi-reference
