Homogenization and two-scale convergence
SIAM Journal on Mathematical Analysis
Homogenization and porous media
Homogenization and porous media
Sensitivity strategies in modelling heterogeneous media undergoing finite deformation
Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics
On identification of the arterial model parameters from experiments applicable "in vivo"
Mathematics and Computers in Simulation
Microstructure based two-scale modelling of soft tissues
Mathematics and Computers in Simulation
Mathematics and Computers in Simulation
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In this paper we treat interactions between large deforming solid and fluid media at the microscopic level. This phenomenon is responsible for viscoelastic behaviour observed as the hereditary creep at the macroscopic scale where the material model is described in terms of the homogenized (effective) parameters. The local microscopic and the upscaled global macroscopic problems are derived for the locally periodic porous microstructure with several inclusions. The parallel computational strategy is proposed to solve the local problems associated with specific microstructures evolving in time. On numerical examples using various geometries of the microstructures we demonstrate how the homogenized properties depend on deformation-diffusion processes undergoing in a particular micro-configuration.