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X L - One of the best experts on this subject based on the ideXlab platform.
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giant Linear Strain gradient with extremely low elastic energy in a perovskite nanostructure array
Nature Communications, 2017Co-Authors: Yunlong Tang, Yujia Zhu, Ying Liu, Y J Wang, X LAbstract:Although elastic Strains, particularly inhomogeneous Strains, are able to tune, enhance or create novel properties of some nanoscale functional materials, potential devices dominated by inhomogeneous Strains have not been achieved so far. Here we report a fabrication of inhomogeneous Strains with a Linear gradient as giant as 106 per metre, featuring an extremely lower elastic energy cost compared with a uniformly Strained state. The present Strain gradient, resulting from the disclinations in the BiFeO3 nanostructures array grown on LaAlO3 substrates via a high deposition flux, induces a polarization of several microcoulomb per square centimetre. It leads to a large built-in electric field of several megavoltage per metre, and gives rise to a large enhancement of solar absorption. Our results indicate that it is possible to build up large-scale Strain-dominated nanostructures with exotic properties, which in turn could be useful in the development of novel devices for electromechanical and photoelectric applications.
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giant Linear Strain gradient with extremely low elastic energy in a perovskite nanostructure array
Nature Communications, 2017Co-Authors: Yunlong Tang, Y J Wang, X LAbstract:Although elastic Strains, particularly inhomogeneous Strains, are able to tune, enhance or create novel properties of some nanoscale functional materials, potential devices dominated by inhomogeneous Strains have not been achieved so far. Here we report a fabrication of inhomogeneous Strains with a Linear gradient as giant as 106 per metre, featuring an extremely lower elastic energy cost compared with a uniformly Strained state. The present Strain gradient, resulting from the disclinations in the BiFeO3 nanostructures array grown on LaAlO3 substrates via a high deposition flux, induces a polarization of several microcoulomb per square centimetre. It leads to a large built-in electric field of several megavoltage per metre, and gives rise to a large enhancement of solar absorption. Our results indicate that it is possible to build up large-scale Strain-dominated nanostructures with exotic properties, which in turn could be useful in the development of novel devices for electromechanical and photoelectric applications. Inherent elastic Strains are useful to tune the physical properties of functional materials but it is difficult to build. Here, Tanget al. report a fabrication of inhomogeneous Strains with a Linear gradient as giant as 106 per meter in a BiFeO3 nanostructure array grown on a LaAlO3substrate.
G R Liu - One of the best experts on this subject based on the ideXlab platform.
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a node based smoothed radial point interpolation method with Linear Strain fields for vibration analysis of solids
Engineering Analysis With Boundary Elements, 2020Co-Authors: G R Liu, Zhiqiang FengAbstract:Abstract This paper presents a high-order node-based smoothed radial point interpolation method (NS-RPIM) with Linear Strain fields in smoothing domains. The Linear smoothed Strains are constructed by complete order of polynomial functions and normalized with reference to the central point of the smoothing region. The new NS-RPIM is one order higher than those of the existing methods which use piecewise constant Strains. This high-order method still uses Linear displacements within each triangular background cell, but Linear Strains are created over smoothing domains using the pick-out theory. Because the smoothed Strain and the compatible Strain within a local region are equal in an integral sense, the unknown parameters in the reconstructed Strain functions can be determined uniquely by using three Linearly independent weight functions. The numerical verification and computational efficiency are investigated and compared with the standard node-based smoothing models. It is found that the Linear Strain NS-RPIM shows improvement on both the convergence and computational efficiency in terms of error norm in displacement and is temporally stable. Since no spurious non-zero energy mode appears, this approach can be employed directly for the vibration analysis of solids.
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a novel node based smoothed finite element method with Linear Strain fields for static free and forced vibration analyses of solids
Applied Mathematics and Computation, 2019Co-Authors: G R LiuAbstract:Abstract This paper presents a novel node-based smoothed finite element method (NS-FEM) with a higher order Strain field. It uses piecewise Linear displacements on 3-node triangular elements, together with Strain field which is also Linear but over the node-based smoothed domains. This high-order Strain NS-FEM is fundamentally different from the standard FEM that uses piecewise Linear displacement and constants Strain fields. In our high-order Strain NS-FEM, the smoothed Strains are expressed with complete order of polynomials which have coefficients, Linear and high-order terms. This is also different from the smoothed Strain used in the existing standard NS-FEM which is a constant obtained by a generalized smoothing technique. The unknown coefficients in assumed Strain functions can be uniquely determined by Linearly independent weight functions. This is because the smoothed Strain and compatible Strain within a local region are equal in an integral sense when weighted by continuous functions. We present, with proofs on convergence, two versions of high-order Strain NS-FEMs which are termed as: NS-FEM-1 that uses 1st order smoothed Strains and NS-FEM-2 that uses 2nd order smoothed Strains. The new developed high-order Strain NS-FEM is applied for static, free and forced vibration analyses of solids, and our numerical results support our theorems.
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a superconvergent point interpolation method sc pim with piecewise Linear Strain field using triangular mesh
International Journal for Numerical Methods in Engineering, 2009Co-Authors: G R Liu, Guiyong Zhang, T NguyenthoiAbstract:A superconvergent point interpolation method (SC-PIM) is developed for mechanics problems by combining techniques of finite element method (FEM) and Linearly conforming point interpolation method (LC-PIM) using triangular mesh. In the SC-PIM, point interpolation methods (PIM) are used for shape functions construction; and a Strain field with a parameter α is assumed to be a Linear combination of compatible stains and smoothed Strains from LC-PIM. We prove theoretically that SC-PIM has a very nice bound property: the Strain energy obtained from the SC-PIM solution lies in between those from the compatible FEM solution and the LC-PIM solution when the same mesh is used. We further provide a criterion for SC-PIM to obtain upper and lower bound solutions. Intensive numerical studies are conducted to verify these theoretical results and show that (1) the upper and lower bound solutions can always be obtained using the present SC-PIM; (2) there exists an αexact∈(0, 1) at which the SC-PIM can produce the exact solution in the energy norm; (3) for any α∈(0, 1) the SC-PIM solution is of superconvergence, and α=0 is an easy way to obtain a very accurate and superconvergent solution in both energy and displacement norms; (4) a procedure is devised to find a αprefer∈(0, 1) that produces a solution very close to the exact solution. Copyright © 2008 John Wiley & Sons, Ltd.
Zhiqiang Feng - One of the best experts on this subject based on the ideXlab platform.
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a node based smoothed radial point interpolation method with Linear Strain fields for vibration analysis of solids
Engineering Analysis With Boundary Elements, 2020Co-Authors: G R Liu, Zhiqiang FengAbstract:Abstract This paper presents a high-order node-based smoothed radial point interpolation method (NS-RPIM) with Linear Strain fields in smoothing domains. The Linear smoothed Strains are constructed by complete order of polynomial functions and normalized with reference to the central point of the smoothing region. The new NS-RPIM is one order higher than those of the existing methods which use piecewise constant Strains. This high-order method still uses Linear displacements within each triangular background cell, but Linear Strains are created over smoothing domains using the pick-out theory. Because the smoothed Strain and the compatible Strain within a local region are equal in an integral sense, the unknown parameters in the reconstructed Strain functions can be determined uniquely by using three Linearly independent weight functions. The numerical verification and computational efficiency are investigated and compared with the standard node-based smoothing models. It is found that the Linear Strain NS-RPIM shows improvement on both the convergence and computational efficiency in terms of error norm in displacement and is temporally stable. Since no spurious non-zero energy mode appears, this approach can be employed directly for the vibration analysis of solids.
Yunlong Tang - One of the best experts on this subject based on the ideXlab platform.
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giant Linear Strain gradient with extremely low elastic energy in a perovskite nanostructure array
Nature Communications, 2017Co-Authors: Yunlong Tang, Yujia Zhu, Ying Liu, Y J Wang, X LAbstract:Although elastic Strains, particularly inhomogeneous Strains, are able to tune, enhance or create novel properties of some nanoscale functional materials, potential devices dominated by inhomogeneous Strains have not been achieved so far. Here we report a fabrication of inhomogeneous Strains with a Linear gradient as giant as 106 per metre, featuring an extremely lower elastic energy cost compared with a uniformly Strained state. The present Strain gradient, resulting from the disclinations in the BiFeO3 nanostructures array grown on LaAlO3 substrates via a high deposition flux, induces a polarization of several microcoulomb per square centimetre. It leads to a large built-in electric field of several megavoltage per metre, and gives rise to a large enhancement of solar absorption. Our results indicate that it is possible to build up large-scale Strain-dominated nanostructures with exotic properties, which in turn could be useful in the development of novel devices for electromechanical and photoelectric applications.
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giant Linear Strain gradient with extremely low elastic energy in a perovskite nanostructure array
Nature Communications, 2017Co-Authors: Yunlong Tang, Y J Wang, X LAbstract:Although elastic Strains, particularly inhomogeneous Strains, are able to tune, enhance or create novel properties of some nanoscale functional materials, potential devices dominated by inhomogeneous Strains have not been achieved so far. Here we report a fabrication of inhomogeneous Strains with a Linear gradient as giant as 106 per metre, featuring an extremely lower elastic energy cost compared with a uniformly Strained state. The present Strain gradient, resulting from the disclinations in the BiFeO3 nanostructures array grown on LaAlO3 substrates via a high deposition flux, induces a polarization of several microcoulomb per square centimetre. It leads to a large built-in electric field of several megavoltage per metre, and gives rise to a large enhancement of solar absorption. Our results indicate that it is possible to build up large-scale Strain-dominated nanostructures with exotic properties, which in turn could be useful in the development of novel devices for electromechanical and photoelectric applications. Inherent elastic Strains are useful to tune the physical properties of functional materials but it is difficult to build. Here, Tanget al. report a fabrication of inhomogeneous Strains with a Linear gradient as giant as 106 per meter in a BiFeO3 nanostructure array grown on a LaAlO3substrate.
Yusuf Orcan - One of the best experts on this subject based on the ideXlab platform.
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on the rotating elastic plastic solid disks of variable thickness having concave profiles
International Journal of Mechanical Sciences, 2002Co-Authors: Ahmet N Eraslan, Yusuf OrcanAbstract:Abstract In this paper, an analytical solution for the elastic–plastic stress distribution in rotating variable thickness solid disks is presented. The analysis is based on Tresca's yield criterion, its associated flow rule and Linear Strain hardening material behavior. It is shown that depending on the shape of the disk profile, the radial stress in the central region may exceed the circumferential stress. The plastic zone which develops away from the axis of the disk consists of three annular regions governed by different mathematical forms of the yield criterion. The propagation of these plastic regions with increasing angular velocity is obtained together with the distributions of stresses and deformations in nondimensional forms.
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elastic plastic deformation of a rotating solid disk of exponentially varying thickness
Mechanics of Materials, 2002Co-Authors: Ahmet N Eraslan, Yusuf OrcanAbstract:Abstract The elastic–plastic deformation of a rotating solid disk of variable thickness in exponential form is investigated using Tresca's yield criterion, its associated flow rule and Linear Strain hardening. An analytical solution is obtained and numerical results are presented for different values of the geometric parameters. In the limiting case of uniform thickness the solution reduces to Gamer's solution.
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elastic plastic stresses in Linearly hardening rotating solid disks of variable thickness
Mechanics Research Communications, 2002Co-Authors: Yusuf Orcan, Ahmet N EraslanAbstract:Abstract The distribution of stress, displacement and plastic Strain in a rotating elastic–plastic solid disk of variable thickness in a power function form is investigated. The analysis is based on Tresca's yield condition, its associated flow rule and Linear Strain hardening material behavior. An analytical solution is obtained and numerical results are presented for different values of the geometric parameters. The validity of the solution is demonstrated by comparing the results with those for a uniform thickness disk available in the literature.