"Modelovani m\u011Bkk\u00FDch biologick\u00FDch tk\u00E1n\u00ED s deforma\u010Dn\u011B indukovan\u00FDm mikrotokem"@cs . "Modeling Large-deformation-induced Microflow in Soft Biological Tissues" . "The homogenization approach to multiscale modeling of soft biological tissues is presented. The homogenized model describes the relationship between the macroscopic hereditary creep behavior and the microflow in a fluid-saturated dual-porous medium at the microscopic level. The micromodel is based on Biot’s system for quasistatic deformation processes, modified for the updated Lagrangian formulation to account for coupling the fluid diffusion through a porous solid undergoing large deformation. Its microstructure is constituted by fluid-filled inclusions embedded in the porous matrix. The tangential stiffness coefficients and the retardation stress for the macromodel are derived for a time-stepping algorithm. Numerical examples are discussed, showing the strong potential of the model for simulations of deformation-driven physiological processes at the microscopic scale."@en . "\u010Cl\u00E1nek se zab\u00FDv\u00E1 homogeniza\u010Dn\u00EDm p\u0159\u00EDstupem k multiskalov\u00E9mu modelov\u00E1n\u00ED m\u011Bkk\u00FDch biologick\u00FDch tk\u00E1n\u00ED. Homogenizovan\u00FD model popisuje relace mezi makroskopick\u00FDm creepem s vyhas\u00EDnaj\u00EDc\u00ED pam\u011Bt\u00ED a dif\u00FAzi tekutiny na \u00FArovni mikrostruktury (mikrotokem). Mikromodel je zalo\u017Een na b\u00E1zi Biotova modelu pro kvazistatickou deformaci por\u00E9zn\u00EDho materi\u00E1lu a velk\u00E9 deformace linearizovan\u00E9 pomoc\u00ED aktualizovan\u00E9 Lagrangeovy formulace. Mirkostruktura je tvo\u0159ena por\u00E9zn\u00ED matrici obsahuj\u00EDc\u00ED tekutinou napln\u011Bn\u00E9 inkluze. Jsou odvozeny homogenizovan\u00E9 koeficienty p\u0159\u00EDr\u016Fstkov\u00E9 formy tangeci\u00E1ln\u00ED tuhosti a tzv. retarda\u010Dn\u00EDho nap\u011Bt\u00ED. Na numerick\u00FDch p\u0159\u00EDkladech je uk\u00E1z\u00E1na aplikace dan\u00E9ho p\u0159\u00EDstupu pro studium deforma\u010Dn\u011B z\u00E1visl\u00FDch"@cs . "251" . . . "486154" . "26"^^ . . . . . "0935-4964" . . . "DE - Spolkov\u00E1 republika N\u011Bmecko" . . "Z(MSM4977751303)" . "Rohan, Eduard" . . "The homogenization approach to multiscale modeling of soft biological tissues is presented. The homogenized model describes the relationship between the macroscopic hereditary creep behavior and the microflow in a fluid-saturated dual-porous medium at the microscopic level. The micromodel is based on Biot’s system for quasistatic deformation processes, modified for the updated Lagrangian formulation to account for coupling the fluid diffusion through a porous solid undergoing large deformation. Its microstructure is constituted by fluid-filled inclusions embedded in the porous matrix. The tangential stiffness coefficients and the retardation stress for the macromodel are derived for a time-stepping algorithm. Numerical examples are discussed, showing the strong potential of the model for simulations of deformation-driven physiological processes at the microscopic scale." . "[2F12452CE541]" . "0" . "Modeling Large-deformation-induced Microflow in Soft Biological Tissues"@en . . "1"^^ . "Modeling Large-deformation-induced Microflow in Soft Biological Tissues" . . . "23520" . . . "RIV/49777513:23520/06:00000156!RIV07-MSM-23520___" . "Porous media; Homogenization; Large deformation; Biological soft tissue; Microflow; Viscoelasticity"@en . "Modelovani m\u011Bkk\u00FDch biologick\u00FDch tk\u00E1n\u00ED s deforma\u010Dn\u011B indukovan\u00FDm mikrotokem"@cs . . "RIV/49777513:23520/06:00000156" . . "Theoretical and Computational Fluid Dynamics" . "Modeling Large-deformation-induced Microflow in Soft Biological Tissues"@en . . "1"^^ .