The Experts below are selected from a list of 3774 Experts worldwide ranked by ideXlab platform
Valentin L Popov - One of the best experts on this subject based on the ideXlab platform.
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role of adhesion stress in controlling transition between plastic grinding and breakaway regimes of adhesive wear
Scientific Reports, 2020Co-Authors: A V Dimaki, Evgeny V Shilko, Ivan V Dudkin, S G Psakhie, Valentin L PopovAbstract:: A discrete-element based model of elastic-plastic materials with non-Ideal Plasticity and with an account of both cohesive and adhesive interactions inside the material is developed and verified. Based on this model, a detailed study of factors controlling the modes of adhesive wear is performed. Depending on the material and loading parameters, we observed three main modes of wear: slipping, plastic grinding, cleavage, and breakaway. We find that occurrence of a particular mode is determined by the combination of two dimensionless material parameters: (1) the ratio of the adhesive stress to the pure shear strength of the material, and (2) sensitivity parameter of material shear strength to local pressure. The case study map of asperity wear modes in the space of these parameters has been constructed. Results of this study further develop the findings of the widely discussed studies by the groups of J.-F. Molinari and L. Pastewka.
Alexander Yakhno - One of the best experts on this subject based on the ideXlab platform.
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deformation of characteristic curves of the plane Ideal Plasticity equations by point symmetries
Nonlinear Analysis-theory Methods & Applications, 2009Co-Authors: Sergey I Senashov, Alexander Yakhno, Liliya YakhnoAbstract:Abstract The hyperbolic system of plane Ideal Plasticity equations under the Saint–Venant–Mises’ yield criterion is considered. Its’ characteristics curves are deformed by the action of admitted group of point transformations, that permits to construct a new analytical solution. The mechanical sense of obtained characteristic fields is discussed. The general algorithm of the relation of solutions of quasilinear hyperbolic system of two homogeneous equations of two independent variables is proposed.
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reproduction of solutions of bidimensional Ideal Plasticity
International Journal of Non-linear Mechanics, 2007Co-Authors: Sergey I Senashov, Alexander YakhnoAbstract:Abstract The symmetries of a system of differential equations allowed the transformation of its solutions to a solution of this system. New analytical exact solutions of a system of two-dimensional Ideal Plasticity equations were constructed from two well-known solutions, that for a circular cavity stressed by normal pressure, and Prandtl's solution for a block compressed between perfectly rough plates, for the case where the thickness of the block was rather small. A mechanical sense of new solutions was discussed.
Sergey I Senashov - One of the best experts on this subject based on the ideXlab platform.
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New Solutions of Dynamical Equations of Ideal Plasticity
Journal of Applied and Industrial Mathematics, 2019Co-Authors: Sergey I Senashov, I. L. SavostyanovaAbstract:Point symmetries allowed by Plasticity equations in the dynamical case are used to construct solutions for the dynamical equations of Ideal Plasticity. These symmetries make it possible to convert the exact solutions of stationary dynamical equations to nonstationary solutions. The so-constructed solutions include arbitrary functions of time. The solutions allow us to describe the plastic flow between the plates changing their shape under the action of dynamical loads. Some new spatial self-similar solution is also presented.
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Transformation of the prandtl solution into new solutions of Ideal Plasticity
2011 International Conference on Multimedia Technology, 2011Co-Authors: Sergey I Senashov, O.v. GomonovaAbstract:New exact solutions of a system of 2-dimentional Ideal Plasticity equations are constructed from the well-known Prandtl solution using point transformations. A mechanical interpretation of the obtained solutions is discussed.
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deformation of characteristic curves of the plane Ideal Plasticity equations by point symmetries
Nonlinear Analysis-theory Methods & Applications, 2009Co-Authors: Sergey I Senashov, Alexander Yakhno, Liliya YakhnoAbstract:Abstract The hyperbolic system of plane Ideal Plasticity equations under the Saint–Venant–Mises’ yield criterion is considered. Its’ characteristics curves are deformed by the action of admitted group of point transformations, that permits to construct a new analytical solution. The mechanical sense of obtained characteristic fields is discussed. The general algorithm of the relation of solutions of quasilinear hyperbolic system of two homogeneous equations of two independent variables is proposed.
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reproduction of solutions of bidimensional Ideal Plasticity
International Journal of Non-linear Mechanics, 2007Co-Authors: Sergey I Senashov, Alexander YakhnoAbstract:Abstract The symmetries of a system of differential equations allowed the transformation of its solutions to a solution of this system. New analytical exact solutions of a system of two-dimensional Ideal Plasticity equations were constructed from two well-known solutions, that for a circular cavity stressed by normal pressure, and Prandtl's solution for a block compressed between perfectly rough plates, for the case where the thickness of the block was rather small. A mechanical sense of new solutions was discussed.
Evgeny V Shilko - One of the best experts on this subject based on the ideXlab platform.
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role of adhesion stress in controlling transition between plastic grinding and breakaway regimes of adhesive wear
Scientific Reports, 2020Co-Authors: A V Dimaki, Evgeny V Shilko, Ivan V Dudkin, S G Psakhie, Valentin L PopovAbstract:: A discrete-element based model of elastic-plastic materials with non-Ideal Plasticity and with an account of both cohesive and adhesive interactions inside the material is developed and verified. Based on this model, a detailed study of factors controlling the modes of adhesive wear is performed. Depending on the material and loading parameters, we observed three main modes of wear: slipping, plastic grinding, cleavage, and breakaway. We find that occurrence of a particular mode is determined by the combination of two dimensionless material parameters: (1) the ratio of the adhesive stress to the pure shear strength of the material, and (2) sensitivity parameter of material shear strength to local pressure. The case study map of asperity wear modes in the space of these parameters has been constructed. Results of this study further develop the findings of the widely discussed studies by the groups of J.-F. Molinari and L. Pastewka.
M Ortiz - One of the best experts on this subject based on the ideXlab platform.
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dislocation microstructures and the effective behavior of single crystals
Archive for Rational Mechanics and Analysis, 2005Co-Authors: Sergio Conti, M OrtizAbstract:We consider single-crystal Plasticity in the limiting case of infinite latent hardening, which signifies that the crystal must deform in single slip at all material points. This requirement introduces a nonconvex constraint, and thereby induces the formation of fine-scale structures. We restrict attention throughout to linearized kinematics and deformation theory of Plasticity, which is appropriate for monotonic proportional loading and confers the boundary value problem of Plasticity a well-defined variational structure analogous to elasticity. We first study a scale-invariant (local) problem. We show that, by developing microstructures in the form of sequential laminates of finite depth, crystals can beat the single-slip constraint, i.e., the macroscopic (relaxed) constitutive behavior is indistinguishable from multislip Ideal Plasticity. In a second step, we include dislocation line energies, and hence a length scale, into the model. Different regimes lead to several possible types of microstructure patterns. We present constructions which achieve the various optimal scaling laws, and discuss the relation with experimentally known scalings, such as the Hall-Petch law.
