Sensitivities of effective properties computed using micromechanics differential schemes and high-order Taylor series: application to piezo-polymer composites

DOI10.1016/j.mechrescom.2010.06.001zbMath1272.74539OpenAlexW1989621352MaRDI QIDQ366549

Salim Belouettar, Yao Koutsawa, Houssein Nasser, Ahmed Makradi

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S009364131000073X

zbMATH Keywords

sensitivity analysisautomatic differentiationeffective propertiesmicromechanics differential schemespiezo-polymer

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Electromagnetic effects in solid mechanics (74F15) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (2)

Collocation approaches to the mathematical model of an Euler-Bernoulli beam vibrations ⋮ Complex variable step method for sensitivity analysis of effective properties in multi-field micromechanics

Uses Software

• FADBAD++
• CVODES
• NumPy
• Taylor
• Diamant toolbox

Cites Work

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• A generic approach for the solution of nonlinear residual equations. I: The Diamant toolbox
• A strong contrast homogenization formulation for multi-phase anisotropic materials
• Effective conductivity in isotropic heterogeneous media using a strong-contrast statistical continuum theory
• The differential scheme and its application to cracked materials
• Solutions for effective shear properties in three phase sphere and cylinder models
• A study of the differential scheme for composite materials
• Differential schemes for the elastic characterisation of dispersions of randomly oriented ellipsoids
• Effective stiffness tensor of composite media. I: Exact series expansions
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods

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