Pub Date : 2022-02-24DOI: 10.1080/15502287.2022.2041767
Mamta Kapoor, V. Joshi
Abstract Present paper deals with the numerical solution of coupled 1D Burgers’ equation by implementing the Non-Uniform Algebraic Hyperbolic (NUAH) B-spline Differential Quadrature Method. In the present paper, the spatial variable discretization is done using NUAH B-spline, and the obtained system of ODE is dealt with using the SSP-RK43 scheme. To get the improvised results, the concept of modified cubic NUAH B-spline is incorporated. To test the effectiveness and accuracy of the proposed scheme, numerical examples are discussed. Stability analysis of the proposed scheme is investigated by the matrix stability analysis method. The present regime is worthwhile to deal with some complex natured PDEs, where finding the analytical solution is cumbersome. Graphical Abstract
{"title":"Numerical solution of coupled 1D Burgers' equation by Non-Uniform Algebraic-Hyperbolic B-spline Differential Quadrature Method","authors":"Mamta Kapoor, V. Joshi","doi":"10.1080/15502287.2022.2041767","DOIUrl":"https://doi.org/10.1080/15502287.2022.2041767","url":null,"abstract":"Abstract Present paper deals with the numerical solution of coupled 1D Burgers’ equation by implementing the Non-Uniform Algebraic Hyperbolic (NUAH) B-spline Differential Quadrature Method. In the present paper, the spatial variable discretization is done using NUAH B-spline, and the obtained system of ODE is dealt with using the SSP-RK43 scheme. To get the improvised results, the concept of modified cubic NUAH B-spline is incorporated. To test the effectiveness and accuracy of the proposed scheme, numerical examples are discussed. Stability analysis of the proposed scheme is investigated by the matrix stability analysis method. The present regime is worthwhile to deal with some complex natured PDEs, where finding the analytical solution is cumbersome. Graphical Abstract","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124394483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-24DOI: 10.1080/15502287.2022.2042869
G. Waghmare, R. Rao, Prafulla C. Kulkarni
Abstract This paper presents the performance of a teaching-learning-based optimization (TLBO) algorithm and its elite version named as an elitist teaching-learning-based optimization algorithm (ETLBO) to obtain the optimum set of design parameters for the path synthesis of a four-bar linkage. The minimization of the position error is considered as an objective function and four case studies are considered to verify the efficiency and accuracy of the TLBO and ETLBO algorithms. The synthesized mechanism is obtained for four case studies using the 2 D movable sketch method of SolidWorks. The results have shown that the performance of the TLBO and ETLBO algorithms are better or competitive to the other optimization methods considered by the previous researchers.
{"title":"Path synthesis of a four-bar linkage using a teaching-learning-based optimization algorithm","authors":"G. Waghmare, R. Rao, Prafulla C. Kulkarni","doi":"10.1080/15502287.2022.2042869","DOIUrl":"https://doi.org/10.1080/15502287.2022.2042869","url":null,"abstract":"Abstract This paper presents the performance of a teaching-learning-based optimization (TLBO) algorithm and its elite version named as an elitist teaching-learning-based optimization algorithm (ETLBO) to obtain the optimum set of design parameters for the path synthesis of a four-bar linkage. The minimization of the position error is considered as an objective function and four case studies are considered to verify the efficiency and accuracy of the TLBO and ETLBO algorithms. The synthesized mechanism is obtained for four case studies using the 2 D movable sketch method of SolidWorks. The results have shown that the performance of the TLBO and ETLBO algorithms are better or competitive to the other optimization methods considered by the previous researchers.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132544738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-10DOI: 10.1080/15502287.2022.2036869
Farid Bagherpoor, M. Pourseifi
Abstract In the present study, mode III dynamic stress intensity factors (DSIFs) for the multiple axisymmetric interfacial cracks in an orthotropic layer with FGM orthotropic coating under transient torsional loading are formulated. It is assumed that the mass density and the shear modulus of the FGM orthotropic coating vary exponentially and power-law form along the thickness of the layer. At first, the solution for Somigliana-type dynamic rotational ring dislocation in the layer and its coating is obtained by using the Laplace and Hankel transforms. Then, the dislocation solution is used to derive a set of singular integral equations for a system of coaxial axisymmetric interfacial cracks, including penny-shaped and annular cracks. The integral equations are of Cauchy singular type, which are solved by Erdogan’s collocation method for dislocation density on the surface of interfacial crack and the results are used to determine DSIFs for axisymmetric interfacial cracks. Finally, several examples are provided to study the effects of the non-homogeneity constant, orthotropy parameter and thickness of FGM coating as well as the interaction of multiple interfacial cracks on the DSIFs.
{"title":"Dynamic mode III stress intensity factors of multiple axisymmetric interfacial cracks in an FGM coated orthotropic layer","authors":"Farid Bagherpoor, M. Pourseifi","doi":"10.1080/15502287.2022.2036869","DOIUrl":"https://doi.org/10.1080/15502287.2022.2036869","url":null,"abstract":"Abstract In the present study, mode III dynamic stress intensity factors (DSIFs) for the multiple axisymmetric interfacial cracks in an orthotropic layer with FGM orthotropic coating under transient torsional loading are formulated. It is assumed that the mass density and the shear modulus of the FGM orthotropic coating vary exponentially and power-law form along the thickness of the layer. At first, the solution for Somigliana-type dynamic rotational ring dislocation in the layer and its coating is obtained by using the Laplace and Hankel transforms. Then, the dislocation solution is used to derive a set of singular integral equations for a system of coaxial axisymmetric interfacial cracks, including penny-shaped and annular cracks. The integral equations are of Cauchy singular type, which are solved by Erdogan’s collocation method for dislocation density on the surface of interfacial crack and the results are used to determine DSIFs for axisymmetric interfacial cracks. Finally, several examples are provided to study the effects of the non-homogeneity constant, orthotropy parameter and thickness of FGM coating as well as the interaction of multiple interfacial cracks on the DSIFs.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116126554","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-06DOI: 10.1080/15502287.2022.2030427
A. Francis, S. Natarajan, Chan Lee, P. Budarapu
Abstract In this study, we present a displacement based polygonal finite element method for compressible and nearly-incompressible elastic solids undergoing large deformations in two dimensions. This is achieved by projecting the dilatation strain onto the linear approximation space, within the framework of volume averaged nodal projection method. To reduce the numerical integration burden over polytopes, a linear strain smoothing technique is employed to compute the terms in the bilinear/linear form. The salient features of the proposed framework are: (a) does not require derivatives of shape functions and complex numerical integration scheme to compute the bilinear and linear form and (b) volumetric locking is alleviated by adopting the volume averaged nodal projection technique. The efficacy, convergence properties and accuracy of the proposed framework is demonstrated through four standard benchmark problems.
{"title":"A cell-based smoothed finite element method for finite elasticity","authors":"A. Francis, S. Natarajan, Chan Lee, P. Budarapu","doi":"10.1080/15502287.2022.2030427","DOIUrl":"https://doi.org/10.1080/15502287.2022.2030427","url":null,"abstract":"Abstract In this study, we present a displacement based polygonal finite element method for compressible and nearly-incompressible elastic solids undergoing large deformations in two dimensions. This is achieved by projecting the dilatation strain onto the linear approximation space, within the framework of volume averaged nodal projection method. To reduce the numerical integration burden over polytopes, a linear strain smoothing technique is employed to compute the terms in the bilinear/linear form. The salient features of the proposed framework are: (a) does not require derivatives of shape functions and complex numerical integration scheme to compute the bilinear and linear form and (b) volumetric locking is alleviated by adopting the volume averaged nodal projection technique. The efficacy, convergence properties and accuracy of the proposed framework is demonstrated through four standard benchmark problems.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132750785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-25DOI: 10.1080/15502287.2022.2030426
Navneet Joshi, Himanshu Upreti, A. Pandey
Abstract In this article, the combined impact of thermal radiation and suction/blowing on the MHD flow of Cu-Ag/H2O-C2H6O2 hybrid nanofluid through a stretchable surface in Darcy-Forchheimer porous medium is considered. The Cartesian coordinate system and boundary layer approximation are used in the mathematical modeling of governing equations. By using suitable transformation, the governing expressions are changed into the non-dimensional forms, which are solved employing Runge-Kutta-Fehlberg method. The physical significance of relatable parameters on flow and thermal fields are analyzed through graphs. The key outcomes include that velocity diminished for the case of suction and absence of suction/injection region, on raising the values of Forchhiemer, magnetic and porosity parameters. Moreover, for blowing region, dual behavior is noticed in velocity profiles with increase in Forchhiemer and porosity parameters.
{"title":"MHD Darcy-Forchheimer Cu-Ag/H2O-C2H6O2 hybrid nanofluid flow via a porous stretching sheet with suction/blowing and viscous dissipation","authors":"Navneet Joshi, Himanshu Upreti, A. Pandey","doi":"10.1080/15502287.2022.2030426","DOIUrl":"https://doi.org/10.1080/15502287.2022.2030426","url":null,"abstract":"Abstract In this article, the combined impact of thermal radiation and suction/blowing on the MHD flow of Cu-Ag/H2O-C2H6O2 hybrid nanofluid through a stretchable surface in Darcy-Forchheimer porous medium is considered. The Cartesian coordinate system and boundary layer approximation are used in the mathematical modeling of governing equations. By using suitable transformation, the governing expressions are changed into the non-dimensional forms, which are solved employing Runge-Kutta-Fehlberg method. The physical significance of relatable parameters on flow and thermal fields are analyzed through graphs. The key outcomes include that velocity diminished for the case of suction and absence of suction/injection region, on raising the values of Forchhiemer, magnetic and porosity parameters. Moreover, for blowing region, dual behavior is noticed in velocity profiles with increase in Forchhiemer and porosity parameters.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124547174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-12-22DOI: 10.1080/15502287.2021.2002975
Z. Kheladi, S. M. Hamza-cherif, M. E. A. Ghernaout
Abstract This article presents the critical speed analysis of spinning laminated composite shaft under the different coupling mechanism effects based on isogeometric analysis. The analysis of the layered tubular composite shaft is usually performed using shell elements, but the present study concerns with the equivalent single layer theory (ESLT) obtained from the transformation of the cylindrical coordinates to the Cartesian coordinates and therefore, it avoids the use of non-uniform rational Bsplines. The results obtained are in good agreement with the modified EMBT and the modified SHBT. It is found that the proposed approach can yield highly accurate solutions compared with other existing methods available in the literature. In addition, the numerical results of critical speeds are obtained and investigated under the Poisson’s effects and different mechanism coupling effects, length-to-mean diameter ratios, and stacking sequence of layers.
{"title":"Critical speeds analysis of spinning laminated composite shaft based on isogeometric analysis","authors":"Z. Kheladi, S. M. Hamza-cherif, M. E. A. Ghernaout","doi":"10.1080/15502287.2021.2002975","DOIUrl":"https://doi.org/10.1080/15502287.2021.2002975","url":null,"abstract":"Abstract This article presents the critical speed analysis of spinning laminated composite shaft under the different coupling mechanism effects based on isogeometric analysis. The analysis of the layered tubular composite shaft is usually performed using shell elements, but the present study concerns with the equivalent single layer theory (ESLT) obtained from the transformation of the cylindrical coordinates to the Cartesian coordinates and therefore, it avoids the use of non-uniform rational Bsplines. The results obtained are in good agreement with the modified EMBT and the modified SHBT. It is found that the proposed approach can yield highly accurate solutions compared with other existing methods available in the literature. In addition, the numerical results of critical speeds are obtained and investigated under the Poisson’s effects and different mechanism coupling effects, length-to-mean diameter ratios, and stacking sequence of layers.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128924111","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-22DOI: 10.1080/15502287.2021.2002974
M. Azis
Abstract A diffusion convection reaction (DCR) problem for anisotropic functionally graded materials (FGMs) is discussed in this paper to find numerical solutions by using a combined Laplace transform (LT) and boundary element method (BEM). The variable coefficients equation is transformed to a constant coefficients equation which is then Laplace-transformed so that the time variable vanishes. A purely boundary integral equation involving a time-free fundamental solution can then be derived and employed to find numerical solutions using a BEM. The results obtained are inversely transformed numerically using the Stehfest formula. The combined LT-BEM is easy to implement, efficient and accurate for solving numerically the problems.
{"title":"A boundary-only element method for 2D unsteady diffusion convection reaction problems of trigonometrically graded anisotropic materials","authors":"M. Azis","doi":"10.1080/15502287.2021.2002974","DOIUrl":"https://doi.org/10.1080/15502287.2021.2002974","url":null,"abstract":"Abstract A diffusion convection reaction (DCR) problem for anisotropic functionally graded materials (FGMs) is discussed in this paper to find numerical solutions by using a combined Laplace transform (LT) and boundary element method (BEM). The variable coefficients equation is transformed to a constant coefficients equation which is then Laplace-transformed so that the time variable vanishes. A purely boundary integral equation involving a time-free fundamental solution can then be derived and employed to find numerical solutions using a BEM. The results obtained are inversely transformed numerically using the Stehfest formula. The combined LT-BEM is easy to implement, efficient and accurate for solving numerically the problems.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130240106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-18DOI: 10.1080/15502287.2021.2000065
F. Abbaspour
Abstract In this study, the micro-scale vibration analysis of the graphene platelets reinforced cylindrical micro-shells with piezoelectric layers is discussed. By simultaneous use of Hamilton’s principle and size-dependent modified couple stress theory, the governing equations of motion and the boundary conditions are derived. The natural frequencies for graphene platelets reinforced cylindrical micro-shell with piezoelectric layers are determined by the Navier’s approach. Three different graphene platelets distribution pattern are modeled in this study. The material properties of every layer of micro composite shell reinforced by graphene platelets are evaluated by Halpin–Tsai model. The present findings are validated with the available data in the literature. In addition, a parametric study is conducted to demonstrate the effects of the weight fraction, the distribution pattern, the material length scale parameter, the thickness of the piezoelectric layers, the length to radius ratio, the thickness to radius ratio, temperature change and the applied voltage on the natural frequency of piezoelectric GPL cylindrical micro-shell.
{"title":"Free vibration analysis of simply-supported graphene platelets reinforced laminated piezoelectric cylindrical micro-shells","authors":"F. Abbaspour","doi":"10.1080/15502287.2021.2000065","DOIUrl":"https://doi.org/10.1080/15502287.2021.2000065","url":null,"abstract":"Abstract In this study, the micro-scale vibration analysis of the graphene platelets reinforced cylindrical micro-shells with piezoelectric layers is discussed. By simultaneous use of Hamilton’s principle and size-dependent modified couple stress theory, the governing equations of motion and the boundary conditions are derived. The natural frequencies for graphene platelets reinforced cylindrical micro-shell with piezoelectric layers are determined by the Navier’s approach. Three different graphene platelets distribution pattern are modeled in this study. The material properties of every layer of micro composite shell reinforced by graphene platelets are evaluated by Halpin–Tsai model. The present findings are validated with the available data in the literature. In addition, a parametric study is conducted to demonstrate the effects of the weight fraction, the distribution pattern, the material length scale parameter, the thickness of the piezoelectric layers, the length to radius ratio, the thickness to radius ratio, temperature change and the applied voltage on the natural frequency of piezoelectric GPL cylindrical micro-shell.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"464 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125820385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-16DOI: 10.1080/15502287.2021.2002976
N. Guru, S. Jain
Abstract Free axisymmetric vibrations of uniform annular sandwich plates with relatively stiff core and membrane facings have been studied on the basis of Reddy’s higher-order shear deformation theory. The core and facings are considered to be made up of isotropic materials. The governing equations of motion and natural boundary conditions are developed using Hamilton’s principle. Chebyshev collocation technique is employed to obtain the frequency equations for clamped-clamped, clamped-simply supported and clamped-free edge conditions. The lowest three roots of these equations have been computed and reported as the values of frequency parameters for the first three modes of vibration. After validating the results of the proposed approach, detailed numerical results are given to analyze the effects of thickness of the core, face thickness and radii ratio on the natural frequencies. The results obtained for various plate parameters are compared numerically and graphically with those available in the literature. It also shows that the application of first-order theory is inappropriate for analyzing the vibration of annular sandwich plates with thick core. Three-dimensional mode shapes for a specified plate for all the three boundary conditions have been plotted.
{"title":"Vibration analysis of thick annular sandwich plates based on Reddy’s theory","authors":"N. Guru, S. Jain","doi":"10.1080/15502287.2021.2002976","DOIUrl":"https://doi.org/10.1080/15502287.2021.2002976","url":null,"abstract":"Abstract Free axisymmetric vibrations of uniform annular sandwich plates with relatively stiff core and membrane facings have been studied on the basis of Reddy’s higher-order shear deformation theory. The core and facings are considered to be made up of isotropic materials. The governing equations of motion and natural boundary conditions are developed using Hamilton’s principle. Chebyshev collocation technique is employed to obtain the frequency equations for clamped-clamped, clamped-simply supported and clamped-free edge conditions. The lowest three roots of these equations have been computed and reported as the values of frequency parameters for the first three modes of vibration. After validating the results of the proposed approach, detailed numerical results are given to analyze the effects of thickness of the core, face thickness and radii ratio on the natural frequencies. The results obtained for various plate parameters are compared numerically and graphically with those available in the literature. It also shows that the application of first-order theory is inappropriate for analyzing the vibration of annular sandwich plates with thick core. Three-dimensional mode shapes for a specified plate for all the three boundary conditions have been plotted.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117081716","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-02DOI: 10.1080/15502287.2021.1977585
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