R. A. SOARES JUNIOR, Vitor Cauê Gomes, Leandro Palermo Junior, L. Wrobel
The buckling of perforated plates considering the effect of shear deformation is analyzed with the boundary element method. The geometrical non-linearity (GNL) effect included rotation derivatives (curvatures) as well as the deflection derivatives. The importance of the shear deformation in the buckling of perforated plates appeared with the increase of the plate thickness and the effect of curvatures becomes greater in large hole diameter cases.
{"title":"EFFECT OF CURVATURES IN THE BUCKLING ANALYSIS OF PERFORATED PLATES USING THE BOUNDARY ELEMENT METHOD","authors":"R. A. SOARES JUNIOR, Vitor Cauê Gomes, Leandro Palermo Junior, L. Wrobel","doi":"10.2495/be450131","DOIUrl":"https://doi.org/10.2495/be450131","url":null,"abstract":"The buckling of perforated plates considering the effect of shear deformation is analyzed with the boundary element method. The geometrical non-linearity (GNL) effect included rotation derivatives (curvatures) as well as the deflection derivatives. The importance of the shear deformation in the buckling of perforated plates appeared with the increase of the plate thickness and the effect of curvatures becomes greater in large hole diameter cases.","PeriodicalId":23647,"journal":{"name":"WIT transactions on engineering sciences","volume":"52 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88000529","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}
The goal of the presented study is to provide a systematic approach for the efficient characterization of vector fields inside a defined region of interest. That means the vector field is described there with a set of coefficients that can be easily derived from the field values and that contains enough information to characterize the vector field accurately. A possible field of application of this approach is the design of defined distributions of vector fields for specific use cases based on optimization algorithms or machine learning approaches. For instance, the homogeneity of the magnetic B-field is an important measure in the context of nuclear magnetic resonance spectroscopy since it directly limits the achievable spectral resolution and applicability of this method. Here, we present a new combination of established techniques of modern boundary element methods, which are typically used for the solution of the field problem, with automatic analysis of the so-called local expansion of the fast multipole method to characterize a vector field based on a robust approach. The local expansion represents the field inside a defined domain, and the effect of all field sources outside this domain is replaced by a small set of local coefficients. Hence, we first discuss the meaning of these local coefficients and then show how they can be computed directly by a smart use of Green’s theorem. Finally, we show the spectrum of local coefficients, which, in the next step, is the basis for a cost function of an optimization problem of the studied vector field.
{"title":"CHARACTERIZATION OF VECTOR FIELDS BASED ON AN ANALYSIS OF THEIR LOCAL EXPANSIONS","authors":"A. Buchau, J. Anders","doi":"10.2495/be450021","DOIUrl":"https://doi.org/10.2495/be450021","url":null,"abstract":"The goal of the presented study is to provide a systematic approach for the efficient characterization of vector fields inside a defined region of interest. That means the vector field is described there with a set of coefficients that can be easily derived from the field values and that contains enough information to characterize the vector field accurately. A possible field of application of this approach is the design of defined distributions of vector fields for specific use cases based on optimization algorithms or machine learning approaches. For instance, the homogeneity of the magnetic B-field is an important measure in the context of nuclear magnetic resonance spectroscopy since it directly limits the achievable spectral resolution and applicability of this method. Here, we present a new combination of established techniques of modern boundary element methods, which are typically used for the solution of the field problem, with automatic analysis of the so-called local expansion of the fast multipole method to characterize a vector field based on a robust approach. The local expansion represents the field inside a defined domain, and the effect of all field sources outside this domain is replaced by a small set of local coefficients. Hence, we first discuss the meaning of these local coefficients and then show how they can be computed directly by a smart use of Green’s theorem. Finally, we show the spectrum of local coefficients, which, in the next step, is the basis for a cost function of an optimization problem of the studied vector field.","PeriodicalId":23647,"journal":{"name":"WIT transactions on engineering sciences","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74720345","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}
J. Ravnik, Mitja Štrakl, J. Wedel, P. Steinmann, M. Hriberšek
In this paper we present an algorithm based on the Boundary Element Method for solving the Stokes flow around an arbitrarily shaped particle in multiphase flows. The objective of the algorithm is to determine the exact drag force and torque experienced by the particle during its motion in a turbulent flow field. The developed method is used to compare the predicted force and torque values on a realistic 3D model of a mineral fibre and its simplifying ellipsoidal approximation. We found that the force and torque values calculated for the real particle geometry differ greatly from the values obtained with the simplifying ellipsoidal approximation. On average, a relative error of less than 10% is achieved for only 10%–30% of the particle orientations.
{"title":"STOKES FLOW INDUCED DRAG AND TORQUE ON ASBESTOS-LIKE FIBRES CANNOT BE ESTIMATED BY A SIMPLISTIC ELLIPSOIDAL APPROXIMATION","authors":"J. Ravnik, Mitja Štrakl, J. Wedel, P. Steinmann, M. Hriberšek","doi":"10.2495/be450031","DOIUrl":"https://doi.org/10.2495/be450031","url":null,"abstract":"In this paper we present an algorithm based on the Boundary Element Method for solving the Stokes flow around an arbitrarily shaped particle in multiphase flows. The objective of the algorithm is to determine the exact drag force and torque experienced by the particle during its motion in a turbulent flow field. The developed method is used to compare the predicted force and torque values on a realistic 3D model of a mineral fibre and its simplifying ellipsoidal approximation. We found that the force and torque values calculated for the real particle geometry differ greatly from the values obtained with the simplifying ellipsoidal approximation. On average, a relative error of less than 10% is achieved for only 10%–30% of the particle orientations.","PeriodicalId":23647,"journal":{"name":"WIT transactions on engineering sciences","volume":"51 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79998074","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}
A convergence analysis technique in our previous work is extended to various theoretically proven convergent kernel-based least-squares collocation methods for surface elliptic equation, projection methods for surface elliptic equation, and recently for surface parabolic equations. These partial differential equations (PDEs) on surfaces closely resemble their Euclidean counterparts, except that the problem domains change from bulk regions with a flat geometry to some manifolds, on which curvatures plays an important role in the physical processes. We do not focus on proofs in this paper, but on implementation details instead. First, we present an embedding formulation to solve a surface PDE in a narrow-band domain containing the surface. Next, we present another extrinsic projection formulation that works solely on data points on the surface. Lastly, we solve surface diffusion problem using kernel and the method of lines.
{"title":"KERNEL-BASED METHODS FOR SOLVING SURFACE PARTIAL DIFFERENTIAL EQUATIONS","authors":"Meng Chen, Leevan Ling","doi":"10.2495/be450091","DOIUrl":"https://doi.org/10.2495/be450091","url":null,"abstract":"A convergence analysis technique in our previous work is extended to various theoretically proven convergent kernel-based least-squares collocation methods for surface elliptic equation, projection methods for surface elliptic equation, and recently for surface parabolic equations. These partial differential equations (PDEs) on surfaces closely resemble their Euclidean counterparts, except that the problem domains change from bulk regions with a flat geometry to some manifolds, on which curvatures plays an important role in the physical processes. We do not focus on proofs in this paper, but on implementation details instead. First, we present an embedding formulation to solve a surface PDE in a narrow-band domain containing the surface. Next, we present another extrinsic projection formulation that works solely on data points on the surface. Lastly, we solve surface diffusion problem using kernel and the method of lines.","PeriodicalId":23647,"journal":{"name":"WIT transactions on engineering sciences","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87660332","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}
{"title":"TIN(II)-CONTAINING FLUORIDE ION CONDUCTORS: HOW TIN MULTIPLIES THE FLUORIDE ION CONDUCTION BY UP TO THREE ORDERS OF MAGNITUDE","authors":"G. Dénès, A. Muntasar, M. C. Madamba, J. Parris","doi":"10.2495/MC210181","DOIUrl":"https://doi.org/10.2495/MC210181","url":null,"abstract":"","PeriodicalId":23647,"journal":{"name":"WIT transactions on engineering sciences","volume":"45 1","pages":"167-176"},"PeriodicalIF":0.0,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74475453","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}
{"title":"ENHANCED PHYSICAL PROPERTIES OF NANOCELLULOSE FIBER-REINFORCED GREEN COMPOSITES","authors":"H. Takagi, Hiroaki Genta, A. N. Nakagaito","doi":"10.2495/MC210131","DOIUrl":"https://doi.org/10.2495/MC210131","url":null,"abstract":"","PeriodicalId":23647,"journal":{"name":"WIT transactions on engineering sciences","volume":"16 1","pages":"121-126"},"PeriodicalIF":0.0,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87315027","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}
{"title":"CRITICAL PLANES CRITERIA APPLIED TO GEAR TEETH: WHICH ONE IS THE MOST APPROPRIATE TO CHARACTERIZE CRACK PROPAGATION?","authors":"F. Concli, L. Maccioni","doi":"10.2495/MC210021","DOIUrl":"https://doi.org/10.2495/MC210021","url":null,"abstract":"","PeriodicalId":23647,"journal":{"name":"WIT transactions on engineering sciences","volume":"43 1","pages":"15-25"},"PeriodicalIF":0.0,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87865750","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}
P. Drlík, Š. Pešková, V. Krístek, M. Petrtýl, Martin V. Valek, J. Litoš, P. Konvalinka, R. Sedláček
{"title":"NUMERICAL AND MATERIAL MODELLING FOR THE DEVELOPMENT OF A NEW DEVICE FOR THE TREATMENT OF INDURATIO PENIS PLASTICA","authors":"P. Drlík, Š. Pešková, V. Krístek, M. Petrtýl, Martin V. Valek, J. Litoš, P. Konvalinka, R. Sedláček","doi":"10.2495/MC210071","DOIUrl":"https://doi.org/10.2495/MC210071","url":null,"abstract":"","PeriodicalId":23647,"journal":{"name":"WIT transactions on engineering sciences","volume":"30 1","pages":"67-78"},"PeriodicalIF":0.0,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77331082","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}
{"title":"TOWARD UNDERSTANDING LARGE DEFLECTION BENDING OF 3D PRINTED NINJAFLEX","authors":"L. Gallup, M. Trabia, B. O’Toole, Youssef Fahmy","doi":"10.2495/MC210061","DOIUrl":"https://doi.org/10.2495/MC210061","url":null,"abstract":"","PeriodicalId":23647,"journal":{"name":"WIT transactions on engineering sciences","volume":"298 1","pages":"55-65"},"PeriodicalIF":0.0,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74619896","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}
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