Homogenization of Elastomers Filled with Liquid Inclusions: The Small-Deformation Limit

• Published in: Journal of elasticity Vol. 154; no. 1-4; pp. 235 - 253
• Main Authors: Ghosh, Kamalendu, Lefèvre, Victor, Lopez-Pamies, Oscar
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.11.2023; Springer Nature B.V
• Subjects: Biomechanics; Classical and Continuum Physics; Classical Mechanics; Deformation; Derivation; Elastomers; Engineering; Fluid flow; Homogenization; Inclusions; Incompressible flow; Materials Science; Mathematical Applications in the Physical Sciences; Mechanical analysis; Modulus of elasticity; Residual stress; Surface tension; Theoretical and Applied Mechanics; Multiscale asymptotic expansions; 76T20; 74S05; 74Q05; Size effects; Metamaterials; 74B20; 74Q20; Suspensions

This paper presents the derivation of the homogenized equations that describe the macroscopic mechanical response of elastomers filled with liquid inclusions in the setting of small quasistatic deformations. The derivation is carried out for materials with periodic microstructure by means of a two-s...