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Analysis of a \(\varvec{P}_1\oplus \varvec{RT}_0\) finite element method for linear elasticity with Dirichlet and mixed boundary conditions
In this paper, we investigate a low-order robust numerical method for the linear elasticity problem. The method is based on a Bernardi–Raugel-like
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A general homogenization result of spectral problem for linearized elasticity in perforated domains
The goal of this paper is to establish a general homogenization result for linearized elasticity of an eigenvalue problem defined over perforated...
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Elliptical inclusion in an anisotropic plane: non-uniform interface effects
We study the plane deformation of an elastic composite system made up of an anisotropic elliptical inclusion and an anisotropic foreign matrix...
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On Chien’s question to the Hu-Washizu three-field functional and variational principle
There is an open question, namely Chien’s question, in construction of a generalized functional in elasticity, i.e., why the stress-strain relation...
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Unique Continuation Property with Partial Information for Two-Dimensional Anisotropic Elasticity Systems
In this paper, we establish a novel unique continuation property for two-dimensional anisotropic elasticity systems with partial information. More...
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Hybridized weak Galerkin finite element method for linear elasticity problem in mixed form
A hybridization technique is applied to the weak Galerkin finite element method (WGFEM) for solving the linear elasticity problem in mixed form. An...
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Green’s functions of two-dimensional piezoelectric quasicrystal in half-space and bimaterials
In this paper, we obtain Green’s functions of two-dimensional (2D) piezoelectric quasicrystal (PQC) in half-space and bimaterials. Based on the...
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Boundary value problems in elastostatics with singular data
We consider themain boundary value problems of linear elastostatics with nonregular data. We prove existence and uniqueness results for bounded and...
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Bending analysis of five-layer curved functionally graded sandwich panel in magnetic field: closed-form solution
In this paper, an exact closed-form solution for a curved sandwich panel with two piezoelectric layers as actuator and sensor that are inserted in...
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Exact analysis of the orientation-adjusted adhesive full stick contact of layered structures with the asymmetric bipolar coordinates
The adhesion failure has become one dominant factor in determining the reliability and service life of miniaturized devices subject to loadings with...
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Integral Representation Formulas Related to the Lamé—Navier System
The paper provides integral representations for solutions to a certain first order partial differential equation natural arising in the factorization...
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Practical Green’s function for the thermal stress field induced by a heat source in plane thermoelasticity
The classical Green’s functions used in the literature for a heat source in a homogeneous elastic medium cannot lead to finite remote thermal...
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Eigenvalue Problems for Tensor-Block Matrices and Their Applications to Mechanics
In this paper, we state and examine the eigenvalue problem for symmetric tensor-block matrices of arbitrary even rank and arbitrary size m × m , m ≥ ...
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Effects of residual stress and viscous and hysteretic dam**s on the stability of a spinning micro-shaft
This study examines the effects of the residual stress and viscous and hysteretic dam**s on the vibrational behavior and stability of a spinning...
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Complex variable solution for boundary value problem with X-shaped cavity in plane elasticity and its application
A new type of displacement pile, the X-section cast-in-place concrete (XCC) pile, has recently been developed in China. Extensive field tests and...
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Some Remarks on Korn Inequalities
A recent joint paper with Doina Cioranescu and Julia Orlik was concerned with the homogenization of a linearized elasticity problem with inclusions...
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On asymmetric bending of functionally graded solid circular plates
Based on the three-dimensional elasticity equations, this paper studies the elastic bending response of a transversely isotropic functionally graded...
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Seventy Five (Thousand) Unsolved Problems in Analysis and Partial Differential Equations
This is a collection of open problems concerning various areas in function theory, functional analysis, theory of linear and nonlinear partial...
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On a vector version of a fundamental Lemma of J. L. Lions
Let Ω be a bounded and connected open subset of ℝ N with a Lipschitz-continuous boundary, the set Ω being locally on the same side of ∂Ω. A vector...
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Effective electroelastic constants for three-phase confocal elliptical cylinder model in piezoelectric quasicrystal composites
A three-phase confocal elliptical cylinder model is proposed to analyze micromechanics of one-dimensional hexagonal piezoelectric quasicrystal (PQC)...