The Experts below are selected from a list of 96 Experts worldwide ranked by ideXlab platform
Arghir Zarnescu - One of the best experts on this subject based on the ideXlab platform.
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Symmetry and Multiplicity of Solutions in a Two-Dimensional Landau–de Gennes Model for Liquid Crystals
Archive for Rational Mechanics and Analysis, 2020Co-Authors: Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir ZarnescuAbstract:We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius $R$. We prove that under a Symmetric Boundary Condition carrying a topological defect of degree $\frac{k}{2}$ for some given {\bf even} non-zero integer $k$, there are exactly two minimizers for all large enough $R$. We show that the minimizers do not inherit the full symmetry structure of the energy functional and the Boundary data. We further show that there are at least five Symmetric critical points.
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Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals
Arch. Ration. Mech. Anal., 2020Co-Authors: Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir ZarnescuAbstract:We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius $R$. We prove that under a Symmetric Boundary Condition carrying a topological defect of degree $\frac{k}{2}$ for some given {\bf even} non-zero integer $k$, there are exactly two minimizers for all large enough $R$. We show that the minimizers do not inherit the full symmetry structure of the energy functional and the Boundary data. We further show that there are at least five Symmetric critical points.
Radu Ignat - One of the best experts on this subject based on the ideXlab platform.
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Symmetry and Multiplicity of Solutions in a Two-Dimensional Landau–de Gennes Model for Liquid Crystals
Archive for Rational Mechanics and Analysis, 2020Co-Authors: Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir ZarnescuAbstract:We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius $R$. We prove that under a Symmetric Boundary Condition carrying a topological defect of degree $\frac{k}{2}$ for some given {\bf even} non-zero integer $k$, there are exactly two minimizers for all large enough $R$. We show that the minimizers do not inherit the full symmetry structure of the energy functional and the Boundary data. We further show that there are at least five Symmetric critical points.
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Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals
Arch. Ration. Mech. Anal., 2020Co-Authors: Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir ZarnescuAbstract:We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius $R$. We prove that under a Symmetric Boundary Condition carrying a topological defect of degree $\frac{k}{2}$ for some given {\bf even} non-zero integer $k$, there are exactly two minimizers for all large enough $R$. We show that the minimizers do not inherit the full symmetry structure of the energy functional and the Boundary data. We further show that there are at least five Symmetric critical points.
Valeriy Slastikov - One of the best experts on this subject based on the ideXlab platform.
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Symmetry and Multiplicity of Solutions in a Two-Dimensional Landau–de Gennes Model for Liquid Crystals
Archive for Rational Mechanics and Analysis, 2020Co-Authors: Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir ZarnescuAbstract:We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius $R$. We prove that under a Symmetric Boundary Condition carrying a topological defect of degree $\frac{k}{2}$ for some given {\bf even} non-zero integer $k$, there are exactly two minimizers for all large enough $R$. We show that the minimizers do not inherit the full symmetry structure of the energy functional and the Boundary data. We further show that there are at least five Symmetric critical points.
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Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals
Arch. Ration. Mech. Anal., 2020Co-Authors: Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir ZarnescuAbstract:We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius $R$. We prove that under a Symmetric Boundary Condition carrying a topological defect of degree $\frac{k}{2}$ for some given {\bf even} non-zero integer $k$, there are exactly two minimizers for all large enough $R$. We show that the minimizers do not inherit the full symmetry structure of the energy functional and the Boundary data. We further show that there are at least five Symmetric critical points.
Luc Nguyen - One of the best experts on this subject based on the ideXlab platform.
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Symmetry and Multiplicity of Solutions in a Two-Dimensional Landau–de Gennes Model for Liquid Crystals
Archive for Rational Mechanics and Analysis, 2020Co-Authors: Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir ZarnescuAbstract:We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius $R$. We prove that under a Symmetric Boundary Condition carrying a topological defect of degree $\frac{k}{2}$ for some given {\bf even} non-zero integer $k$, there are exactly two minimizers for all large enough $R$. We show that the minimizers do not inherit the full symmetry structure of the energy functional and the Boundary data. We further show that there are at least five Symmetric critical points.
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Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals
Arch. Ration. Mech. Anal., 2020Co-Authors: Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir ZarnescuAbstract:We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius $R$. We prove that under a Symmetric Boundary Condition carrying a topological defect of degree $\frac{k}{2}$ for some given {\bf even} non-zero integer $k$, there are exactly two minimizers for all large enough $R$. We show that the minimizers do not inherit the full symmetry structure of the energy functional and the Boundary data. We further show that there are at least five Symmetric critical points.
Hai Qing - One of the best experts on this subject based on the ideXlab platform.
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Automatic generation of 2D micromechanical finite element model of silicon–carbide/aluminum metal matrix composites: Effects of the Boundary Conditions
Materials & Design, 2013Co-Authors: Hai QingAbstract:Abstract Two-dimensional finite element (FE) simulations of the deformation and damage evolution of Silicon–Carbide (SiC) particle reinforced aluminum alloy composite including interphase are carried out for different microstructures and particle volume fractions of the composites. A program is developed for the automatic generation of 2D micromechanical FE-models with randomly distributed SiC particles. In order to simulate the damage process in aluminum alloy matrix and SiC particles, a damage parameter based on the stress triaxial indicator and the maximum principal stress criterion based elastic brittle damage model are developed within Abaqus/Standard Subroutine USDFLD, respectively. An Abaqus/Standard Subroutine MPC, which allows defining multi-point constraints, is developed to realize the Symmetric Boundary Condition (SBC) and periodic Boundary Condition (PBC). A series of computational experiments are performed to study the influence of Boundary Condition, particle number and volume fraction of the representative volume element (RVE) on composite stiffness and strength properties.
