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On Contact Problems with a Deformable Punch and Variable Rheology
AbstractThe paper presents for the first time one of the methods for studying and solving contact problems with a deformed stamp for those cases when...
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Rheology and Elastic Properties of Network Glasses, Branched Polymers, and Gels
One of the most important applications of percolation theory has been to describing rheology and elastic properties of a wide variety of polymers....
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Effects of Rheology of Non-Newtonian Fluid and Chemical Reaction on a Dispersion of a Solute and Implications to Blood Flow
The process of dispersion of soluble matter in blood flow has been investigated in the present study. The constitutive equation of blood obeys the...
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Impact of Modeling Assumptions on Hemodynamic Stresses in Predicting Cerebral Aneurysm Rupture Status
Approximately 3% of the population is estimated to have cerebral aneurysms, which are the leading cause of subarachnoid haemorrhage. Convincing...
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Perspective on the description of viscoelastic flows via continuum elastic dumbbell models
Non-Newtonian fluid mechanics and computational rheology widely exploit elastic dumbbell models such as Oldroyd-B and FENE-P for a continuum...
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Multilayer Shallow Model for Dry Granular Flows with a Weakly Non-hydrostatic Pressure
The multilayer model proposed in this paper is a generalization of the multilayer non-hydrostatic model for shallow granular flows (Fernández-Nieto...
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Equations of Symmetric MHD-Boundary Layer of Viscous Fluid with Ladyzhenskaya Rheology Law
One considers flow past a body in an electrically conductive viscous fluid in magnetic field, the fluid being subject to a nonlinear rheological law....
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Well-Posedness of Hibler’s Dynamical Sea-Ice Model
This paper establishes the local-in-time well-posedness of solutions to an approximating system constructed by mildly regularizing the dynamical...
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On the Group Classification of Ideal Gas-Dynamic Relaxing Media
The group analysis of differential equations of ideal gas dynamics is most developed. Earlier, the state equations for thermodynamic parameters were...
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Group Classification of Ideal Gas-Dynamic Relaxing Media by Equivalence Transformations
We solve the main problems of group analysis for differential equations of ideal gas dynamics on assuming that the state equation for thermodynamic...
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GENERIC-compliant simulations of Brownian multi-particle systems: modeling stochastic lubrication
A stochastic Lagrangian model for simulating the dynamics and rheology of a Brownian multi-particle system interacting with a simple liquid medium is...
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Fractional Derivative Modeling in Mechanics and Engineering
This textbook highlights the theory of fractional calculus and its wide applications in mechanics and engineering. It describes in details the...
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Analysis of thermal management and anti-mechanical abuse of multi-functional battery modules based on magneto-sensitive shear thickening fluid
Electric vehicles (EVs) have garnered significant attention as a vital driver of economic growth and environmental sustainability. Nevertheless,...
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Analysis of a Stabilised Finite Element Method for Power-Law Fluids
A low-order finite element method is constructed and analysed for an incompressible non-Newtonian flow problem with power-law rheology. The method is...
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Quasistatic Hypoplasticity at Large Strains Eulerian
The isothermal quasistatic (i.e. acceleration neglected) hardening-free plasticity at large strains is considered, based on the standard...
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Non-Newtonian Fluids
In this chapter we concentrate on a large class of problems arising from the dynamics of incompressible non-Newtonian fluids with nonstandard...
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On Integral Equations of Cracks of a New Type
AbstractFor the first time, the paper develops a method for the modeling of cracks of a new type that allows their description in environments of...
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Bibliographical Remarks
In this chapter we briefly describe the state of the art of the works on partial differential equations set in thin domains. Such domains depend on...
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Bhoj Raj Seth (1907–1979)
Bhoj Raj Seth (B. R. Seth) wurde am 27. August 1907 in Bhura im Bundesstaat Punjab geboren. Seine Familie glaubte an hohe Ideale des Dienstes an der...
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Homogeneous incompressible Bingham viscoplastic as a limit of bi-viscosity fluids
In this paper, the existence of a weak solution for homogeneous incompressible Bingham fluid is investigated. The rheology of such a fluid is defined...