Variational estimates for the effective response and field statistics in thermoelastic composites with intra-phase property fluctuations

DOI10.1098/rspa.2010.0609zbMath1228.74068OpenAlexW2018410963MaRDI QIDQ3104847

Pierre Suquet, Noël Lahellec, Pedro Ponte Castañeda

Publication date: 17 December 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2010.0609

zbMATH Keywords

compositesvariational methodsthermoelasticity

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Thermal effects in solid mechanics (74F05)

Related Items (3)

The rheology of non-dilute dispersions of highly deformable viscoelastic particles in Newtonian fluids ⋮ Estimates for the overall linear properties of pointwise heterogeneous solids with application to elasto-viscoplasticity ⋮ A multiscale mean-field homogenization method for fiber-reinforced composites with gradient-enhanced damage models

Cites Work

• The effective mechanical properties of nonlinear isotropic composites
• On the effective behavior of nonlinear inelastic composites. I: Incremental variational principles
• On the effective behavior of nonlinear inelastic composite. II: A second-order procedure
• The effect of spatial distribution on the effective behavior of composite materials and cracked media
• Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory
• Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. II: Applications
• Effective behavior of linear viscoelastic composites: A time-integration approach
• Continuum micro-mechanics of elastoplastic polycrystals
• Macroscopic behavior and field fluctuations in viscoplastic composites: second-order estimates versus full-field simulations
• The Structure of Overall Constitutive Relations for a Class of Nonlinear Composites
• Variational and Related Methods for the Overall Properties of Composites
• Variational second-order estimates for nonlinear composites
• The Theory of Composites
• Field statistics in nonlinear composites. I. Theory

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