Lag Model

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Siddhartha Biswas - One of the best experts on this subject based on the ideXlab platform.

  • Thermal shock problem in porous orthotropic medium with three-phase-Lag Model
    Indian Journal of Physics, 2020
    Co-Authors: Siddhartha Biswas
    Abstract:

    The present article deals with the thermal shock response in homogeneous orthotropic medium under the purview of three-phase-Lag Model in the presence of voids. The normal mode analysis is used to obtain a vector matrix differential equation which is then solved by eigenvalue approach. In order to illustrate the analytical developments, the numerical solution is carried out and the results for stress, displacement and temperature are presented graphically. Comparison of stress, displacement and temperature for different thermoelastic Models such as Lord–Shulman (LS) and Green–Naghdi-III (GN-III) is observed, and it is noticed that the value of all parameters is maximum for the LS Model and minimum for the GN-III Model.

  • Three-dimensional vibration analysis of porous cylindrical panel with a three-phase-Lag Model
    Waves in Random and Complex Media, 2019
    Co-Authors: Siddhartha Biswas
    Abstract:

    The article deals with a three-dimensional analysis of free vibrations of a homogeneous isotropic, thermally conducting cylindrical panel with voids in the context of a three-phase-Lag Model of hyp...

  • fundamental solution of the steady oscillations equations in porous thermoelastic medium with dual phase Lag Model
    Mechanics of Materials, 2018
    Co-Authors: Siddhartha Biswas, Nantu Sarkar
    Abstract:

    Abstract The purpose of this article is to study the propagation of plane waves in porous thermoelastic medium. The problem is considered in the context of dual-phase-Lag Model of generalized thermoelasticity. There exists three longitudinal waves, namely elastic (E-mode), thermal (T-mode) and volume fraction (V-mode) in addition to transverse waves which get decoupled from the rest of motion and not affected by thermal and volume fraction fields. The fundamental solution of the system of differential equations in case of steady oscillations in terms of the elementary functions has been constructed. The phase velocity, attenuation coefficient, specific loss and penetration depth of these waves are computed numerically and presented graphically.

  • rayleigh surface wave propagation in orthotropic thermoelastic solids under three phase Lag Model
    Journal of Thermal Stresses, 2017
    Co-Authors: Siddhartha Biswas, B Mukhopadhyay, Soumen Shaw
    Abstract:

    ABSTRACTThe present article deals with the propagation of Rayleigh surface waves in a homogeneous, orthotropic thermoelastic half-space in the context of three-phase-Lag Model of thermoelasticity. The frequency equations in closed form are derived and the amplitude ratios of surface displacements and temperature change during the Rayleigh wave propagation on the surface of half-space have been computed analytically. The path of particles during Rayleigh wave propagation is found elliptical and eccentricity of the ellipse is derived. To illustrate the analytical developments, the numerical solution is performed and the computer-simulated results in respect of phase velocity, attenuation coefficient, and specific loss are presented graphically.

K. Li - One of the best experts on this subject based on the ideXlab platform.

  • a shear Lag Model for carbon nanotube reinforced polymer composites
    International Journal of Solids and Structures, 2005
    Co-Authors: K. Li
    Abstract:

    Abstract A shear-Lag Model is developed for carbon nanotube-reinforced polymer composites using a multiscale approach. The main morphological features of the nanocomposites are captured by utilizing a composite cylinder embedded with a capped nanotube as the representative volume element. The molecular structural mechanics is employed to determine the effective Young’s modulus of the capped carbon nanotube based on its atomistic structure. The capped nanotube is equivalently represented by an effective (solid) fiber having the same diameter and length but different Young’s modulus, which is determined from that of the nanotube under an isostrain condition. The shear-Lag analysis is performed in the context of linear elasticity for axisymmetric problems, and the resulting formulas are derived in closed forms. To demonstrate applications of the newly developed Model, parametric studies of sample cases are conducted. The numerical results reveal that the nanotube aspect ratio is a critical controlling parameter for nanotube-reinforced composites. The predictions by the current analytical Model compare favorably with the existing computational and experimental data.

  • A shear-Lag Model for carbon nanotube-reinforced polymer composites
    International Journal of Solids and Structures, 2005
    Co-Authors: X. L. Gao, K. Li
    Abstract:

    A shear-Lag Model is developed for carbon nanotube-reinforced polymer composites using a multiscale approach. The main morphological features of the nanocomposites are captured by utilizing a composite cylinder embedded with a capped nanotube as the representative volume element. The molecular structural mechanics is employed to determine the effective Young's modulus of the capped carbon nanotube based on its atomistic structure. The capped nanotube is equivalently represented by an effective (solid) fiber having the same diameter and length but different Young's modulus, which is determined from that of the nanotube under an isostrain condition. The shear-Lag analysis is performed in the context of linear elasticity for axisymmetric problems, and the resulting formulas are derived in closed forms. To demonstrate applications of the newly developed Model, parametric studies of sample cases are conducted. The numerical results reveal that the nanotube aspect ratio is a critical controlling parameter for nanotube-reinforced composites. The predictions by the current analytical Model compare favorably with the existing computational and experimental data. © 2004 Elsevier Ltd. All rights reserved.

Soon Hyung Hong - One of the best experts on this subject based on the ideXlab platform.

  • analysis of creep behavior of sic al metal matrix composites based on a generalized shear Lag Model
    Journal of Materials Research, 2004
    Co-Authors: Kyung H. Chung, Soon Hyung Hong
    Abstract:

    The creep behaviors of 20 vol% SiCw/2124Al, extruded with different ratios, and SiCp/2124Al, reinforced with 10–30 vol% SiC particles, were investigated to clarify the effects of aspect ratio, alignment, and volume fraction of reinforcement on creep deformation. The effective stresses on the matrix of SiC/Al composites are calculated based on the generalized shear-Lag Model. The minimum creep rates of SiCw/2124Al extruded with different ratios and SiCp/2124Al reinforced with different volume fractions of SiC particles are found to be similar under a same effective stress on matrix, which is calculated by the generalized shear-Lag Model. The subgrain sizes in matrices of crept SiC/Al composites are dependent on the effective stress on matrix but not on the applied stress on the composite. It is suggested that the role of SiC reinforcements is to increase the creep resistance of SiC/Al composite by reducing the effective stress on matrix.

  • Analysis of creep behavior of SiC/Al metal matrix composites based on a generalized shear-Lag Model
    Journal of Materials Research, 2004
    Co-Authors: Kyung H. Chung, Soon Hyung Hong
    Abstract:

    The creep behaviors of 20 vol% SiCw/2124Al, extruded with different ratios, and SiCp/2124Al, reinforced with 10–30 vol% SiC particles, were investigated to clarify the effects of aspect ratio, alignment, and volume fraction of reinforcement on creep deformation. The effective stresses on the matrix of SiC/Al composites are calculated based on the generalized shear-Lag Model. The minimum creep rates of SiCw/2124Al extruded with different ratios and SiCp/2124Al reinforced with different volume fractions of SiC particles are found to be similar under a same effective stress on matrix, which is calculated by the generalized shear-Lag Model. The subgrain sizes in matrices of crept SiC/Al composites are dependent on the effective stress on matrix but not on the applied stress on the composite. It is suggested that the role of SiC reinforcements is to increase the creep resistance of SiC/Al composite by reducing the effective stress on matrix.

  • generalized shear Lag Model for load transfer in sic al metal matrix composites
    Journal of Materials Research, 2003
    Co-Authors: Soon Hyung Hong
    Abstract:

    The load-transfer efficiency of reinforcement, in cylindrical forms in metal-matrix composite (MMC), was analyzed based on the shear-Lag Model. Both the geometric shape and alignment of reinforcement were considered. The stress transferred to a misaligned whisker was calculated from differential equations based on the force equilibrium in longitudinal and transverse directions. A new parameter, defined as effective aspect ratio, was used to indicate the load-transfer efficiency of misaligned reinforcement. The effective aspect ratio was formulated as a function of aspect ratio and misorientation angle of reinforcement in MMC. A probability density function of misorientation distribution was used to estimate the strengthening effect of all misaligned whiskers distributed in the matrix. Considering the contributions of both effective aspect ratio and misorientation distribution on load-transfer efficiency, a generalized shear-Lag Model was proposed to explain the mechanical anisotropy of discontinuous reinforced MMC.

  • Generalized shear-Lag Model for load transfer in SiC/Al metal-matrix composites
    Journal of Materials Research, 2003
    Co-Authors: Soon Hyung Hong
    Abstract:

    The load-transfer efficiency of reinforcement, in cylindrical forms in metal-matrix composite (MMC), was analyzed based on the shear-Lag Model. Both the geometric shape and alignment of reinforcement were considered. The stress transferred to a misaligned whisker was calculated from differential equations based on the force equilibrium in longitudinal and transverse directions. A new parameter, defined as effective aspect ratio, was used to indicate the load-transfer efficiency of misaligned reinforcement. The effective aspect ratio was formulated as a function of aspect ratio and misorientation angle of reinforcement in MMC. A probability density function of misorientation distribution was used to estimate the strengthening effect of all misaligned whiskers distributed in the matrix. Considering the contributions of both effective aspect ratio and misorientation distribution on load-transfer efficiency, a generalized shear-Lag Model was proposed to explain the mechanical anisotropy of discontinuous reinforced MMC.

Khondaker Sakil Ahmed - One of the best experts on this subject based on the ideXlab platform.

  • an improved shear Lag Model for carbon nanotube reinforced polymer composites
    Composites Part B-engineering, 2013
    Co-Authors: Khondaker Sakil Ahmed
    Abstract:

    An improved shear-Lag Model has been proposed for assessing the interface characteristics of carbon nanotube (CNT) reinforced polymer–matrix composites (PMCs). Instead of considering any possible chemical bonding at the CNT/matrix interface, this study focuses on stress transferring mechanism of nanotube arising from the combined effects of mechanical interlocking, Poisson’s contraction, thermal mismatch and van der Waals interactions. Analytical solutions are derived for axial and interfacial shear stresses and parametric study has also been conducted to obtain the effect of key composite parameters. This enhanced Model is then used to understand true stress transferring mechanism of CNT reinforced polymer composites.

Robert M. Mcmeeking - One of the best experts on this subject based on the ideXlab platform.

  • an improved shear Lag Model for broken fibers in composite materials
    Journal of Composite Materials, 1999
    Co-Authors: Chad M Landis, M A Mcglockton, Robert M. Mcmeeking
    Abstract:

    A shear Lag Model is formulated to predict the stresses in a unidirectional fiber reinforced composite. The Model is based on assumptions consistent with the finite element method and the principle of virtual work by assuming that the matrix displacements can be interpolated from the fiber displacements. The fibers are treated as one-dimensional springs and the matrix is Modeled as three-dimensional finite elements. The resulting finite element equations for the system are transformed into differential equations by taking the discretization length to approach zero. The governing ordinary differential equations are solved using Fourier transformations and an influence function technique. The technique is used to solve for the stresses around a single fiber break in an infinite square or hexagonal array of fibers. The results are compared with previous shear Lag Models and finite element results. The Model predicts stress concentrations that are in good agreement with more detailed finite element analyses.

  • a shear Lag Model for a broken fiber embedded in a composite with a ductile matrix
    Composites Science and Technology, 1999
    Co-Authors: Chad M Landis, Robert M. Mcmeeking
    Abstract:

    A shear-Lag Model has been developed for the prediction of stress recovery in a broken fiber embedded in a ductile-matrix composite. The Model builds on the original shear-Lag Model of (Cox HL. Br J Appl Phys 1952;3:72‐9) by introducing plasticity constitutive behavior into the matrix. The matrix is assumed to be an elastic/perfectly-plastic material that deforms according to J2 flow theory. The use of a flow rule to govern the matrix deformation in this Model diAers from previous attempts to represent plasticity in the matrix. A non-linear partial diAerential equation is obtained from the Model. Numerical solutions to the equation are obtained and compared to simpler shear-Lag Models which assume sliding at the fiber/matrix interface controlled by a uniform shear stress. Axisymmetric finite-element calculations were done to assess the validity of the shear-Lag Model. It proves to be in good agreement with the finite-element analysis. Predictions of the shear-Lag calculations suggest that the global load-sharing (GLS) strength Model of (Curtin WA. J Am Ceram Soc 1991;74:2837‐45) is valid for a composite with a yielding matrix that is elastically rigid. # 1999 Elsevier Science Ltd. All rights reserved.