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Numerical scheme for simulation of transient flows of non-Newtonian fluids characterised by a non-monotone relation between the symmetric part of the velocity gradient and the Cauchy stress tensor

• Authors : Janečka, Adam; Málek, Josef; Průša, Vít

Subjects: Physics - Fluid Dynamics; 76D99; 74A20

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A Nonlinear Constitutive Theory for Deviatoric Cauchy Stress Tensor for Incrompressible Viscous Fluids

• Authors : Surana, Karan S.; Joy, Aaron D.; Kedari, Sayali Ravindra

Subjects: Nonlinear constitutive theory; Viscous fluid; Eulerian description

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Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition

• Authors : Neff, Patrizio; Mihai, L. Angela

Subjects: Mathematics - Classical Analysis and ODEs; 74B20; 74G65

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Calculation of Cauchy stress tensor in molecular dynamics system with a generalized Irving-Kirkwood formulism

• Authors : Yang, Jerry Zhijian; Du, Shukai

Subjects: Physics - Computational Physics

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On the dual variable of the Cauchy stress tensor in isotropic finite hyperelasticity

• Authors : Vallee, Claude; Fortune, Danielle; Lerintiu, Camelia

Subjects: Mathematics - Analysis of PDEs; Mathematical Physics

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Figure 5—figure supplement 2. Cellular stress patterns in spike1 cells. ; The FEM simulations were performed as described for the data in Figure 1, using spike1 epidermal cells. Color scale: trace of Cauchy stress tensor in MPa.

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Figure 3. Geometric-mechanical model of puzzle cell emergence. ; (A) Starting with meristematic-like cells (top), growing the tissue isotropically, i.e. equally in all directions (arrows), produces puzzle-shaped cells (middle) that resemble cotyledon epidermal cells (bottom). (B) Growing the tissue primarily in one direction (anisotropically) results in elongated cells (middle) as observed, for example, in the petiole (bottom). (C) A gradient of growth anisotropy (increasing left to right) produces a spatial gradient of cell shapes (middle), as observed between the blade and midrib of a leaf (bottom). (D–E) Connections of transversal springs (red) restricting growth in each simulation step in tissues with isotropic (D) and anisotropic (E) growth. To make connections more apparent, only 50% are visualized. (F–G) Cell outlines from 2D models with isotropic growth were used to generate 3D templates for FEM models (growth progresses from left to right, scale bars: 80 µm). (F) As the tissue grows, cells lacking transversal springs conserve their original shape. In pressurized cells, mechanical stress increases with the cell size. (G) When transversal springs are added, tissue expansion generates lobed cells. (H) Average stress in the cell increases with cell area in the polygonal cells (yellow, pink, red), while stress plateaus during tissue grows when cells form lobes (cyan, green). Points of each color represent cells of increasing size, with stresses calculated using the FEM model. Color scale: trace of Cauchy stress tensor in MPa.

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Analýza zobecněného Stokesova systému s implicitně zadaným Cauchyho tenzorem napětí ; Analysis of generalized Stokes system with implicitly given Cauchy stress tensor

• Authors : Bulušek, Petr;

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Multi-scale techniques and homogenization for viscoelastic non-simple materials at large strains

• Authors : Gahn, Markus

Subjects: Mathematics - Analysis of PDEs

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Stress concentration factors for the Stokes flow with two nearly touching rigid particles

• Authors : Zhao, Zhiwen

Subjects: Mathematics - Analysis of PDEs

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