The Experts below are selected from a list of 43350 Experts worldwide ranked by ideXlab platform
A Alibeigloo - One of the best experts on this subject based on the ideXlab platform.
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Elasticity solution of free vibration and bending behavior of functionally graded carbon nanotube reinforced composite beam with thin piezoelectric layers using differential quadrature method
International Journal of Applied Mechanics, 2015Co-Authors: A AlibeiglooAbstract:Based on the Theory of Elasticity, bending and free vibrational analyses of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beam embedded in piezoelectric layers are carried out...
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free vibration analysis of sandwich cylindrical panel with functionally graded core using three dimensional Theory of Elasticity
Composite Structures, 2014Co-Authors: A Alibeigloo, K M LiewAbstract:Abstract This paper presents an exact three-dimensional free vibration solution for sandwich cylindrical panels with functionally graded core. Material properties of the FGM core are assumed to be graded in the radial direction, according to a simple power-law distribution in terms of volume fractions of the constituents. Poisson’s ratio is assumed to be constant. The governing equation of motions is formulated based on the 3D-Theory of Elasticity and displacement fields are expanded in Fourier series along the in-plane coordinates which satisfy the simply supported edges boundary conditions. The state space technique is used to obtain natural frequencies analytically. Accuracy and convergence of the present approach are examined by comparing the analytical results with the existing values in literature. The parametric study is carried out to discuss the effects of gradient index, geometrical properties such as span angle, facing layers thickness and axial length to mid radius ratio on the frequency behavior of the sandwich panel. The obtained exact solution shows that the FGM core has significant effects on the vibration behavior of sandwich cylindrical panel. This fist known exact solution serves as a benchmark for assessing the validity of numerical methods or two-dimensional theories used to analyses of sandwich cylindrical panels.
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free vibration analysis of functionally graded carbon nanotube reinforced composite cylindrical panel embedded in piezoelectric layers by using Theory of Elasticity
European Journal of Mechanics A-solids, 2014Co-Authors: A AlibeiglooAbstract:Abstract In this paper free vibration behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) cylindrical panel embedded in piezoelectric layers with simply supported boundary conditions is investigated by using three-dimensional Theory of Elasticity. By using Fourier series expansion along the longitudinal and latitudinal directions and state space technique across the thickness direction, state space differential equations are solved analytically. The traction-free surface conditions then give rise to the characteristic equation for natural frequencies. Accuracy and convergence of the present approach are validated by comparing the numerical results with those found in literature. In addition, the effects of volume fraction of CNT, four cases of FG-CNTRC, piezoelectric layer thickness, mid radius to thickness ration and modes number on the vibration behavior of the hybrid cylindrical panel are also examined.
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thermoelastic analysis of functionally graded carbon nanotube reinforced composite plate using Theory of Elasticity
Composite Structures, 2013Co-Authors: A Alibeigloo, K M LiewAbstract:Abstract Based on three-dimensional Theory of Elasticity, bending behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) rectangular plate with simply supported edges subjected to thermo-mechanical loads is examined. By using Fourier series expansion along the in plane directions and state space technique across the thickness direction for the entities exact solution for bending characteristic of plate is derived. Accuracy of the presents approach is validated by comparing the numerical results with the available published results in the literature. Investigation on the static behavior of the plates is further carried out by considering the effects of volume fraction of carbon nanotube, uniform distribution and functionally graded distribution of carbon nanotube, aspect ratio and length to thickness ratio.
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static analysis of functionally graded carbon nanotube reinforced composite plate embedded in piezoelectric layers by using Theory of Elasticity
Composite Structures, 2013Co-Authors: A AlibeiglooAbstract:Abstract Based on three-dimensional Theory of Elasticity, bending behavior of functionally graded carbon nanotube reinforced composite (FG-CNTRC) plate embedded in thin piezoelectric layers subjected to mechanical uniform load with simply supported boundary conditions is investigated. By using Fourier series expansion along the longitudinal and latitudinal directions and state space technique across the thickness direction closed form solution is derived. Accuracy and convergence of the presents approach, is validated by comparing the numerical results with the published numerical results in the literature. In addition, the effects of volume fraction of CNT, two case of FG-CNTRC, piezoelectric layer thickness, length to thickness ration and modes number on the static behavior of the hybrid plate are also examined.
K M Liew - One of the best experts on this subject based on the ideXlab platform.
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free vibration analysis of sandwich cylindrical panel with functionally graded core using three dimensional Theory of Elasticity
Composite Structures, 2014Co-Authors: A Alibeigloo, K M LiewAbstract:Abstract This paper presents an exact three-dimensional free vibration solution for sandwich cylindrical panels with functionally graded core. Material properties of the FGM core are assumed to be graded in the radial direction, according to a simple power-law distribution in terms of volume fractions of the constituents. Poisson’s ratio is assumed to be constant. The governing equation of motions is formulated based on the 3D-Theory of Elasticity and displacement fields are expanded in Fourier series along the in-plane coordinates which satisfy the simply supported edges boundary conditions. The state space technique is used to obtain natural frequencies analytically. Accuracy and convergence of the present approach are examined by comparing the analytical results with the existing values in literature. The parametric study is carried out to discuss the effects of gradient index, geometrical properties such as span angle, facing layers thickness and axial length to mid radius ratio on the frequency behavior of the sandwich panel. The obtained exact solution shows that the FGM core has significant effects on the vibration behavior of sandwich cylindrical panel. This fist known exact solution serves as a benchmark for assessing the validity of numerical methods or two-dimensional theories used to analyses of sandwich cylindrical panels.
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thermoelastic analysis of functionally graded carbon nanotube reinforced composite plate using Theory of Elasticity
Composite Structures, 2013Co-Authors: A Alibeigloo, K M LiewAbstract:Abstract Based on three-dimensional Theory of Elasticity, bending behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) rectangular plate with simply supported edges subjected to thermo-mechanical loads is examined. By using Fourier series expansion along the in plane directions and state space technique across the thickness direction for the entities exact solution for bending characteristic of plate is derived. Accuracy of the presents approach is validated by comparing the numerical results with the available published results in the literature. Investigation on the static behavior of the plates is further carried out by considering the effects of volume fraction of carbon nanotube, uniform distribution and functionally graded distribution of carbon nanotube, aspect ratio and length to thickness ratio.
Angkana Ruland - One of the best experts on this subject based on the ideXlab platform.
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a rigidity result for a reduced model of a cubic to orthorhombic phase transition in the geometrically linear Theory of Elasticity
Journal of Elasticity, 2016Co-Authors: Angkana RulandAbstract:In this article we study a simplified two-dimensional model for a cubic-to-orthorhombic phase transition occurring in certain shape-memory-alloys. In the low temperature regime the linear Theory of Elasticity predicts various possible patterns of martensite arrangements: Apart from the well known laminates this phase transition displays additional structures involving four martensitic variants—so called crossing twins.
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the cubic to orthorhombic phase transition rigidity and non rigidity properties in the linear Theory of Elasticity
Archive for Rational Mechanics and Analysis, 2016Co-Authors: Angkana RulandAbstract:In this paper we investigate the cubic-to-orthorhombic phase transition in the framework of linear Elasticity. Using convex integration techniques, we prove that this phase transition represents one of the simplest three-dimensional examples in which already the linearised Theory of Elasticity displays non-rigidity properties. As a complementary result, we demonstrate that surface energy constraints rule out such highly oscillatory behaviour. We give a full characterization of all possibly emerging patterns for generic material parameters.
Klaus Schulten - One of the best experts on this subject based on the ideXlab platform.
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modeling dna loops using the Theory of Elasticity
Physical Review E, 2006Co-Authors: Alexander Balaeff, L Mahadevan, Klaus SchultenAbstract:An elastic rod model of a protein-bound DNA loop is adapted for application in multi-scale simulations of protein-DNAcomplexes. The classical Kirchhoff system of equations which describes the equilibrium structure of the elastic loop is modified to account for the intrinsic twist and curvature, anisotropic bending properties, and electrostatic charge of DNA. The effects of bending anisotropy and electrostatics are studied for the DNA loop clamped by the lac repressor protein. For two possible lengths of the loop, several topologically different conformations are predicted and extensively analyzed over the broad range of model parameters describing DNA bending and electrostatic properties. The scope and applications of the model in already accomplished and in future multi-scale studies of protein-DNA complexes are discussed.
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modeling dna loops using the Theory of Elasticity
arXiv: Biological Physics, 2003Co-Authors: Alexander Balaeff, L Mahadevan, Klaus SchultenAbstract:A versatile approach to modeling the conformations and energetics of DNA loops is presented. The model is based on the classical Theory of Elasticity, modified to describe the intrinsic twist and curvature of DNA, the DNA bending anisotropy, and electrostatic properties. All the model parameters are considered to be functions of the loop arclength, so that the DNA sequence-specific properties can be modeled. The model is applied to the test case study of a DNA loop clamped by the lac repressor protein. Several topologically different conformations are predicted for various lengths of the loop. The dependence of the predicted conformations on the parameters of the problem is systematically investigated. Extensions of the presented model and the scope of the model's applicability, including multi-scale simulations of protein-DNA complexes and building all-atom structures on the basis of the model, are discussed.
Anirudh Sharma - One of the best experts on this subject based on the ideXlab platform.
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Interference effect of two nearby strip footings on layered soil: Theory of Elasticity approach
Acta Geotechnica, 2010Co-Authors: Priyanka Ghosh, Anirudh SharmaAbstract:In recent times, rapid urbanisation coupled with scarcity of land forces several structures to come up ever closer to each other, which may sometime cause severe damage to the structures from both strength and serviceability point of view, and therefore, a need is felt to devise simplified methods to capture the effect of footing interference. In the present study, an attempt has been made to model the settlement behaviour of two strip footings placed in close spacing on layered soil deposit consisting of a strong top layer underlying a weak bottom layer. Theory of Elasticity is employed to derive the governing differential equations and subsequently solved by the finite difference method. The perfectly rough strip footings are considered to be resting on the surface of two-layer soil system, and the soil is assumed to behave as linear elastic material under a range of static foundation load. The effect of various parameters such as the elastic moduli and thickness of two layers, clear spacing between the footings and footing load on the settlement behaviour of closely spaced footings has been determined. The variation of vertical normal stress at the interface of two different soil layers as well as at the base of the failure domain also forms an important part of this study. The results are presented in terms of settlement ratio (ξ_δ), and their variation is obtained with the change in clear spacing between two footings. The present theoretical investigation indicates that the settlement of closely spaced footings is found to be higher than that of single isolated footing, which further reduces with increase in the spacing between the footings.
