Complex variable step method for sensitivity analysis of effective properties in multi-field micromechanics

DOI10.1007/s00707-015-1419-yzbMath1332.74054OpenAlexW987862189MaRDI QIDQ255193

Publication date: 9 March 2016

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-015-1419-y

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (4)

On the accuracy of the complex-step-finite-difference method ⋮ Nonlinear magneto-electro-mechanical response of layered magneto-electric composites: theoretical and experimental approach ⋮ Hyperbolicity of velocity-stress-electromagnetic field equations for waves in anisotropic magnetoelectroelastic solids with hexagonal symmetry ⋮ New forms of the fundamental solutions for 3D magnetoelectroelasticity equations

Cites Work

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Sensitivities of effective properties computed using micromechanics differential schemes and high-order Taylor series: application to piezo-polymer composites
Generalization of the micromechanics multi-coating approach to coupled fields composite materials with eigenfields: effective properties
A micromechanical iterative approach for the behavior of polydispersed composites
The complex step approximation to the Fréchet derivative of a matrix function
Extensions of the first and second complex-step derivative approximations
Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites
A study of the differential scheme for composite materials
Optimal design of piezoelectric microstructures
Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phases
Numerical methods in sensitivity analysis and shape optimization. With CD-ROM
On the generalization of the complex step method
A new inverse analysis approach for multi-region heat conduction BEM using complex-variable-differentiation method
Thermo-electro-mechanical response of 1--3--2 piezoelectric composites: effect of fiber orientations
Micromechanics models for the effective nonlinear electro-mechanical responses of piezoelectric composites
The determination of the elastic field of an ellipsoidal inclusion, and related problems
Evaluating Derivatives
An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities
Using Complex Variables to Estimate Derivatives of Real Functions
Design Sensitivity Analysis
Numerical Differentiation of Analytic Functions
Advanced Calculus
Numerical Analysis

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