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P. V. Joshi - One of the best experts on this subject based on the ideXlab platform.

  • vibration and deflection analysis of thin Cracked and submerged orthotropic Plate under thermal environment using strain gradient theory
    Nonlinear Dynamics, 2019
    Co-Authors: Shashank Soni, N K Jain, P. V. Joshi
    Abstract:

    Based on a non-classical Plate theory, a nonlinear analytical model is proposed to analyze transverse vibration of thin partially Cracked and submerged orthotropic Plate in the presence of thermal environment. The governing equation for the Cracked Plate is derived using the Kirchhoff’s thin Plate theory in conjunction with the strain gradient theory of elasticity. The effect of centrally located surface crack is deduced using appropriate crack compliance coefficients based on the simplified line spring model, whereas the effect of thermal environment is introduced using moments and in-plane forces. The influence of fluidic medium is incorporated in the governing equation in the form of fluid forces associated with its inertial effects. The equation has been solved by transforming the lateral deflection in terms of modal functions. The shift in primary resonance due to crack, length scale parameter and temperature has also been derived with central deflection. To demonstrate the accuracy of the present model, a few comparison studies are carried out with the published literature. The variation in fundamental frequency of the Cracked Plate is studied considering various parameters such as crack length, Plate thickness, level of submergence, temperature and length scale parameter. It has been concluded that the frequency is affected by crack length, temperature and level of submergence. A comparison has also been made for the results obtained from the classical Plate theory and Strain gradient theory. Furthermore, the variation in frequency response and peak amplitude of the Cracked Plate is studied using method of multiple scales to show the phenomenon of bending hardening or softening as affected by level of submergence, temperature, crack length and length scale parameter .

  • Vibration analysis of partially Cracked Plate submerged in fluid
    Journal of Sound and Vibration, 2018
    Co-Authors: Shashank Soni, N K Jain, P. V. Joshi
    Abstract:

    Abstract The present work proposes an analytical model for vibration analysis of partially Cracked rectangular Plates coupled with fluid medium. The governing equation of motion for the isotropic Plate based on the classical Plate theory is modified to accommodate a part through continuous line crack according to simplified line spring model. The influence of surrounding fluid medium is incorporated in the governing equation in the form of inertia effects based on velocity potential function and Bernoulli's equations. Both partially and totally submerged Plate configurations are considered. The governing equation also considers the in-plane stretching due to lateral deflection in the form of in-plane forces which introduces geometric non-linearity into the system. The fundamental frequencies are evaluated by expressing the lateral deflection in terms of modal functions. The assessment of the present results is carried out for intact submerged Plate as to the best of the author's knowledge the literature lacks in analytical results for submerged Cracked Plates. New results for fundamental frequencies are presented as affected by crack length, fluid level, fluid density and immersed depth of Plate. By employing the method of multiple scales, the frequency response and peak amplitude of the Cracked structure is analyzed. The non-linear frequency response curves show the phenomenon of bending hardening or softening and the effect of fluid dynamic pressure on the response of the Cracked Plate.

  • effect of thermal environment on free vibration of Cracked rectangular Plate an analytical approach
    Thin-walled Structures, 2015
    Co-Authors: P. V. Joshi, N K Jain, G D Ramtekkar
    Abstract:

    Abstract An analytical model is proposed for free vibration and geometrically linear thermal buckling phenomenon of a thin rectangular isotropic Plate containing a continuous line surface or internal crack located at the centre of the Plate using classical Plate theory. The crack terms are formulated using Line Spring Model. The in-plane forces are due to the uniform heating of the Cracked Plate. Applying the Galerkin׳s method, the equation is transformed into Duffing equation which shows the effect of uniform rise in temperature on natural frequencies. A classical relation for buckling temperature for a Cracked Plate is also determined.

Shashank Soni - One of the best experts on this subject based on the ideXlab platform.

  • vibration and deflection analysis of thin Cracked and submerged orthotropic Plate under thermal environment using strain gradient theory
    Nonlinear Dynamics, 2019
    Co-Authors: Shashank Soni, N K Jain, P. V. Joshi
    Abstract:

    Based on a non-classical Plate theory, a nonlinear analytical model is proposed to analyze transverse vibration of thin partially Cracked and submerged orthotropic Plate in the presence of thermal environment. The governing equation for the Cracked Plate is derived using the Kirchhoff’s thin Plate theory in conjunction with the strain gradient theory of elasticity. The effect of centrally located surface crack is deduced using appropriate crack compliance coefficients based on the simplified line spring model, whereas the effect of thermal environment is introduced using moments and in-plane forces. The influence of fluidic medium is incorporated in the governing equation in the form of fluid forces associated with its inertial effects. The equation has been solved by transforming the lateral deflection in terms of modal functions. The shift in primary resonance due to crack, length scale parameter and temperature has also been derived with central deflection. To demonstrate the accuracy of the present model, a few comparison studies are carried out with the published literature. The variation in fundamental frequency of the Cracked Plate is studied considering various parameters such as crack length, Plate thickness, level of submergence, temperature and length scale parameter. It has been concluded that the frequency is affected by crack length, temperature and level of submergence. A comparison has also been made for the results obtained from the classical Plate theory and Strain gradient theory. Furthermore, the variation in frequency response and peak amplitude of the Cracked Plate is studied using method of multiple scales to show the phenomenon of bending hardening or softening as affected by level of submergence, temperature, crack length and length scale parameter .

  • Vibration analysis of partially Cracked Plate submerged in fluid
    Journal of Sound and Vibration, 2018
    Co-Authors: Shashank Soni, N K Jain, P. V. Joshi
    Abstract:

    Abstract The present work proposes an analytical model for vibration analysis of partially Cracked rectangular Plates coupled with fluid medium. The governing equation of motion for the isotropic Plate based on the classical Plate theory is modified to accommodate a part through continuous line crack according to simplified line spring model. The influence of surrounding fluid medium is incorporated in the governing equation in the form of inertia effects based on velocity potential function and Bernoulli's equations. Both partially and totally submerged Plate configurations are considered. The governing equation also considers the in-plane stretching due to lateral deflection in the form of in-plane forces which introduces geometric non-linearity into the system. The fundamental frequencies are evaluated by expressing the lateral deflection in terms of modal functions. The assessment of the present results is carried out for intact submerged Plate as to the best of the author's knowledge the literature lacks in analytical results for submerged Cracked Plates. New results for fundamental frequencies are presented as affected by crack length, fluid level, fluid density and immersed depth of Plate. By employing the method of multiple scales, the frequency response and peak amplitude of the Cracked structure is analyzed. The non-linear frequency response curves show the phenomenon of bending hardening or softening and the effect of fluid dynamic pressure on the response of the Cracked Plate.

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

  • vibration and deflection analysis of thin Cracked and submerged orthotropic Plate under thermal environment using strain gradient theory
    Nonlinear Dynamics, 2019
    Co-Authors: Shashank Soni, N K Jain, P. V. Joshi
    Abstract:

    Based on a non-classical Plate theory, a nonlinear analytical model is proposed to analyze transverse vibration of thin partially Cracked and submerged orthotropic Plate in the presence of thermal environment. The governing equation for the Cracked Plate is derived using the Kirchhoff’s thin Plate theory in conjunction with the strain gradient theory of elasticity. The effect of centrally located surface crack is deduced using appropriate crack compliance coefficients based on the simplified line spring model, whereas the effect of thermal environment is introduced using moments and in-plane forces. The influence of fluidic medium is incorporated in the governing equation in the form of fluid forces associated with its inertial effects. The equation has been solved by transforming the lateral deflection in terms of modal functions. The shift in primary resonance due to crack, length scale parameter and temperature has also been derived with central deflection. To demonstrate the accuracy of the present model, a few comparison studies are carried out with the published literature. The variation in fundamental frequency of the Cracked Plate is studied considering various parameters such as crack length, Plate thickness, level of submergence, temperature and length scale parameter. It has been concluded that the frequency is affected by crack length, temperature and level of submergence. A comparison has also been made for the results obtained from the classical Plate theory and Strain gradient theory. Furthermore, the variation in frequency response and peak amplitude of the Cracked Plate is studied using method of multiple scales to show the phenomenon of bending hardening or softening as affected by level of submergence, temperature, crack length and length scale parameter .

  • Vibration analysis of partially Cracked Plate submerged in fluid
    Journal of Sound and Vibration, 2018
    Co-Authors: Shashank Soni, N K Jain, P. V. Joshi
    Abstract:

    Abstract The present work proposes an analytical model for vibration analysis of partially Cracked rectangular Plates coupled with fluid medium. The governing equation of motion for the isotropic Plate based on the classical Plate theory is modified to accommodate a part through continuous line crack according to simplified line spring model. The influence of surrounding fluid medium is incorporated in the governing equation in the form of inertia effects based on velocity potential function and Bernoulli's equations. Both partially and totally submerged Plate configurations are considered. The governing equation also considers the in-plane stretching due to lateral deflection in the form of in-plane forces which introduces geometric non-linearity into the system. The fundamental frequencies are evaluated by expressing the lateral deflection in terms of modal functions. The assessment of the present results is carried out for intact submerged Plate as to the best of the author's knowledge the literature lacks in analytical results for submerged Cracked Plates. New results for fundamental frequencies are presented as affected by crack length, fluid level, fluid density and immersed depth of Plate. By employing the method of multiple scales, the frequency response and peak amplitude of the Cracked structure is analyzed. The non-linear frequency response curves show the phenomenon of bending hardening or softening and the effect of fluid dynamic pressure on the response of the Cracked Plate.

  • effect of thermal environment on free vibration of Cracked rectangular Plate an analytical approach
    Thin-walled Structures, 2015
    Co-Authors: P. V. Joshi, N K Jain, G D Ramtekkar
    Abstract:

    Abstract An analytical model is proposed for free vibration and geometrically linear thermal buckling phenomenon of a thin rectangular isotropic Plate containing a continuous line surface or internal crack located at the centre of the Plate using classical Plate theory. The crack terms are formulated using Line Spring Model. The in-plane forces are due to the uniform heating of the Cracked Plate. Applying the Galerkin׳s method, the equation is transformed into Duffing equation which shows the effect of uniform rise in temperature on natural frequencies. A classical relation for buckling temperature for a Cracked Plate is also determined.

Xin Wang - One of the best experts on this subject based on the ideXlab platform.

  • A Simplified SSY Estimate Method to Determine EPFM Constraint Parameter for Sensor Design
    MDPI AG, 2019
    Co-Authors: Ping Ding, Xin Wang
    Abstract:

    To implement a sensor structure analysis and design (as well as other engineering applications), a two-parameter approach using elastic⁻plastic fracture mechanics (EPFM) could be applied to analyze a structure more accurately than a one-parameter approach, especially for structures with low crack constraint. The application of the J-A two-parameter approach on sensors and other structures depends on the obtainment of a constraint parameter A. To conveniently and effectively obtain the A parameter values, the authors have developed a T-stress-based estimate method under a small-scale yielding (SSY) condition. Under a uniaxial external loading condition, a simplified format of the T-stress-based estimate has been proposed by the authors to obtain the parameter A much more conveniently and effectively. Generally, sensors and other practical engineering structures endure biaxial external loading instead of the uniaxial one. In the current work, the simplified formation of the estimate method is extended to a biaxial loading condition. By comparing the estimated A parameter values with their numerical solutions from a finite element analysis (FEA) results, the extension of the simplified formation of T-stress-based estimate method to biaxial loading was discussed and validated. The comparison procedure was completed using a wide variety of materials and geometrical properties on three types of specimens: single edge Cracked Plate (SECP), center Cracked Plate (CCP), and double edge Cracked Plate (DECP)

  • characteristics of crack front stress fields in three dimensional single edge Cracked Plate specimens under general loading conditions
    Theoretical and Applied Fracture Mechanics, 2015
    Co-Authors: Xin Wang
    Abstract:

    Abstract In the present article, extensive three-dimensional finite element analyses are conducted for elastic single edge Cracked Plate (SECP) specimens, which is one of the most widely used specimen for fracture toughness testing. A wide range of geometrical parameters variations are considered including in-plane crack depth to Plate width ratio ( a / W ) and out-of-plane Plate thickness to width ratio ( t / W ) . Furthermore, for each three-dimensional specimen, four different crack loading conditions are considered including uniform, linear, parabolic and cubic stress distributions applied on the crack surface. Complete solutions of stress intensity factor, in-plane T-stress ( T 11 ) and out-of-plane T-stress ( T 33 ) stresses along the edge-crack front are obtained. Characterizations of crack front stress fields using stress intensity factor and T 11 and T 33 parameters are carried out. By using superposition method, the present solutions enable the calculations of the stress intensity factors, and T-stresses for wide range of a / W , t / W and under generally loading conditions. Application of this method for the determination of these fracture mechanics parameters for other arbitrary loading conditions, are carried out. The combination of the effects of crack depths ( a / W ) , Plate thickness ( t / W ) , and loading conditions on the crack front distributions of stress intensity factor, T 11 and T 33 stress are thus discussed. Solutions obtained will be very useful for analyzing fracture toughness test data for single edge Cracked Plate specimens with different crack depths ( a / W ) , thickness ratios ( t / W ) , and under general loading conditions.

  • elastic plastic finite element analyses of 3d constraint effects in single edge Cracked Plate specimens
    Materials Performance and Characterization, 2015
    Co-Authors: Ping Ding, Xin Wang
    Abstract:

    Extensive finite element analyses have been conducted to obtain numerical solutions of the constraint parameter A, which is the second parameter in a three-term elastic-plastic asymptotic expansion for the crack-tip field for thin three-dimensional (3D) single edge Cracked Plate specimens under uniaxial and biaxial loading. The 3D crack geometries analyzed included shallow to deep cracks, and the biaxial loading ratios analyzed were 0.0 (uniaxial loading) and 1.0 (biaxial loading). Solutions for the parameter A were obtained for materials following the Ramberg–Osgood power law with hardening exponents of n = 3, 5, and 10. Remote tension loading was applied covering the deformation range from small-scale to large-scale yielding. Crack-front constraint effects for 3D Cracked specimens under uniaxial and biaxial loading are analyzed and discussed.

  • solutions of the second elastic plastic fracture mechanics parameter in test specimens under biaxial loading
    International Journal of Pressure Vessels and Piping, 2013
    Co-Authors: Ping Ding, Xin Wang
    Abstract:

    Abstract Extensive finite elements analyses have been conducted to obtain solutions of the A-term, which is the second parameter in a three-term elastic–plastic asymptotic expansion, for test specimens under biaxial loading. Three mode I plane-strain test specimens, i.e. single edge Cracked Plate (SECP), center Cracked Plate (CCP) and double edge Cracked Plate (DECP) were studied. The crack geometries analyzed include shallow to deep cracks, and the biaxial loading ratios analyzed are 0.5 and 1.0. Solutions of A-term were obtained for materials following the Ramberg–Osgood power law with hardening exponent of n = 3, 4, 5, 7 and 10. Remote tension loading was applied which covers from small-scale to large-scale yielding. Based on the finite element results, effects of biaxial loading on crack tip constraint were discussed. Empirical equations to predict the A-term under small-scale yielding to fully-plastic condition were developed using estimation methods developed earlier. Based on the relationships between A and other commonly-used second fracture parameter Q and A2, the present solutions can be used to calculate parameters Q and A2 as well. The results presented in the paper are suitable to determine the second elastic–plastic fracture parameters for test specimens for a wide range of crack geometries, material strain hardening behaviors under biaxial loading conditions.

  • Solutions of the second elastic–plastic fracture mechanics parameter in test specimens under biaxial loading
    International Journal of Pressure Vessels and Piping, 2013
    Co-Authors: Ping Ding, Xin Wang
    Abstract:

    Abstract Extensive finite elements analyses have been conducted to obtain solutions of the A-term, which is the second parameter in a three-term elastic–plastic asymptotic expansion, for test specimens under biaxial loading. Three mode I plane-strain test specimens, i.e. single edge Cracked Plate (SECP), center Cracked Plate (CCP) and double edge Cracked Plate (DECP) were studied. The crack geometries analyzed include shallow to deep cracks, and the biaxial loading ratios analyzed are 0.5 and 1.0. Solutions of A-term were obtained for materials following the Ramberg–Osgood power law with hardening exponent of n = 3, 4, 5, 7 and 10. Remote tension loading was applied which covers from small-scale to large-scale yielding. Based on the finite element results, effects of biaxial loading on crack tip constraint were discussed. Empirical equations to predict the A-term under small-scale yielding to fully-plastic condition were developed using estimation methods developed earlier. Based on the relationships between A and other commonly-used second fracture parameter Q and A2, the present solutions can be used to calculate parameters Q and A2 as well. The results presented in the paper are suitable to determine the second elastic–plastic fracture parameters for test specimens for a wide range of crack geometries, material strain hardening behaviors under biaxial loading conditions.

G. Bhardwaj - One of the best experts on this subject based on the ideXlab platform.

  • analysis of Cracked Plate using higher order shear deformation theory asymptotic crack tip fields and xiga implementation
    Computer Methods in Applied Mechanics and Engineering, 2018
    Co-Authors: S K Singh, B.k. Mishra, I V Singh, G. Bhardwaj
    Abstract:

    Abstract In this work, an extended isogeometric analysis (XIGA) is used for the analysis of through-thickness crack in a homogeneous and isotropic Plate. In isogeometric analysis (IGA), non-uniform rational B-splines (NURBS) are used as a basis function. The Plate kinematics is modelled by Reddy’s higher-order shear deformation theory (HSDT). The C 1 continuity requirement of HSDT can be easily fulfilled by the NURBS basis functions. In order to obtain the Plate fracture parameters (moment intensity factors), the expressions of crack-tip fields (auxiliary fields) are derived using separation of variables and Eigen-function approach. A new expression for moment intensity factors is developed using auxiliary fields solution (crack-tip fields) and interaction integral approach. Several Cracked Plate problems are solved by XIGA using HSDT. The results obtained by HSDT based XIGA (HSDT-XIGA) are compared with the FSDT based XIGA (FSDT-XIGA) and literature solutions.

  • Numerical simulations of Cracked Plate using XIGA under different loads and boundary conditions
    Mechanics of Advanced Materials and Structures, 2016
    Co-Authors: G. Bhardwaj, Indra Vir Singh, B.k. Mishra, Virender Kumar
    Abstract:

    ABSTRACTThis article deals with the numerical simulation of Cracked Plate using extended isogeometric analysis (XIGA) under different loads and boundary conditions. The Plate formulation is done using first-order shear deformation theory. The crack faces are modeled by the Heaviside function, whereas the singularity in stress field at the crack tip is modeled by crack tip enrichment functions. The stress intensity factors for the Cracked Plate are numerically computed using a domain-based interaction integral. The results obtained by XIGA for the center and edge crack Plate are compared with extended finite element method and/or literature results for different types of loads and boundary conditions.