Pub Date : 2024-03-12DOI: 10.55787/jtams.24.54.1.103
{"title":"EXPERIMENTS AND NUMERICAL MODELLING OF AIR-WATER FLOW IN UNSATURATED SOILS WITH HYSTERESIS AND AIR ENTRAPMENT","authors":"","doi":"10.55787/jtams.24.54.1.103","DOIUrl":"https://doi.org/10.55787/jtams.24.54.1.103","url":null,"abstract":"","PeriodicalId":503677,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"70 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140249704","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 : 2024-03-12DOI: 10.55787/jtams.24.54.1.089
{"title":"QUASI-3D ANALYTIC MODEL FOR FREE VIBRATION ANALYSIS OF SIMPLY SUPPORTED FUNCTIONALLY GRADED PLATES (SS-FGP)","authors":"","doi":"10.55787/jtams.24.54.1.089","DOIUrl":"https://doi.org/10.55787/jtams.24.54.1.089","url":null,"abstract":"","PeriodicalId":503677,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140250391","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 : 2024-03-12DOI: 10.55787/jtams.24.54.1.007
{"title":"EFFECTS OF MAGNETIC FIELD ON HEAT AND MASS TRANSFER IN PULSATILE FLOW OF BLOOD UNDER STENOTIC CONDITION","authors":"","doi":"10.55787/jtams.24.54.1.007","DOIUrl":"https://doi.org/10.55787/jtams.24.54.1.007","url":null,"abstract":"","PeriodicalId":503677,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"116 19","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140250761","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}
This paper presents application and tuning of the equilibrated residual method (ERM) of a posteriori error estimation for coupled electromechanical problems of direct, inverse and general piezoelectricity. In these three cases, either electric potential is induced by strains or strains appear due to the applied electric potential or both phenomena occur simultaneously. The mentioned ERM is assigned for the assessment of modeling and approximation errors of the numerical finite element solution. Such error values usually serve as indication for adaptive hierarchical modeling and adaptive mesh changes within thin and/or solid piezoelectric members so as to obtain the solution of assumed accuracy.
{"title":"Tuning of the equilibrated residual method for applications in general, direct and inverse piezoelectricity","authors":"Grzegorz Zboiński","doi":"10.15632/jtam-pl/184626","DOIUrl":"https://doi.org/10.15632/jtam-pl/184626","url":null,"abstract":"This paper presents application and tuning of the equilibrated residual method (ERM) of a posteriori error estimation for coupled electromechanical problems of direct, inverse and general piezoelectricity. In these three cases, either electric potential is induced by strains or strains appear due to the applied electric potential or both phenomena occur simultaneously. The mentioned ERM is assigned for the assessment of modeling and approximation errors of the numerical finite element solution. Such error values usually serve as indication for adaptive hierarchical modeling and adaptive mesh changes within thin and/or solid piezoelectric members so as to obtain the solution of assumed accuracy.","PeriodicalId":503677,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140255056","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 paper presents a meshless method based on global interpolation with radial base functions and shows its application in solving interface problems. Such problems arise when two or more different materials are used to construct the element under consideration. Across the interface between the materials, a discontinuity of material parameters arises. To solve the problem, the radial basis function-based collocation method is applied. To properly reflect the discontinuity, the base functions are modified. In this paper, the method is applied to solve problems described by elliptic equations. Using these examples, the accuracy, stability and convergence of the method are examined.
{"title":"Material discontinuity problems solved by a meshless method based on variably scaled discontinuous radial functions","authors":"Artur Krowiak, J. Podgórski","doi":"10.15632/jtam-pl/185323","DOIUrl":"https://doi.org/10.15632/jtam-pl/185323","url":null,"abstract":"The paper presents a meshless method based on global interpolation with radial base functions and shows its application in solving interface problems. Such problems arise when two or more different materials are used to construct the element under consideration. Across the interface between the materials, a discontinuity of material parameters arises. To solve the problem, the radial basis function-based collocation method is applied. To properly reflect the discontinuity, the base functions are modified. In this paper, the method is applied to solve problems described by elliptic equations. Using these examples, the accuracy, stability and convergence of the method are examined.","PeriodicalId":503677,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"16 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140263085","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 paper is focused on the numerical analysis of the stability and load bearing capacity of a flat steel truss. The structure is supported by elastic lateral braces. The translational and rotational brace stiffness are taken into account. The linear buckling analysis is performed for the beam and shell model of the truss. The nonlinear static analysis is conducted for the structure initial geometric imperfections. As a result, the buckling and limit load depending on brace stiffness has been obtained. The reactions in elastic braces are compared to stabilizing forces calculated on the basis of actual code requirements
{"title":"Analysis of the influence of geometrical imperfections on the equivalent load stabilizing roof truss with lateral bracing system","authors":"M. Krajewski","doi":"10.15632/jtam-pl/185163","DOIUrl":"https://doi.org/10.15632/jtam-pl/185163","url":null,"abstract":"The paper is focused on the numerical analysis of the stability and load bearing capacity of a flat steel truss. The structure is supported by elastic lateral braces. The translational and rotational brace stiffness are taken into account. The linear buckling analysis is performed for the beam and shell model of the truss. The nonlinear static analysis is conducted for the structure initial geometric imperfections. As a result, the buckling and limit load depending on brace stiffness has been obtained. The reactions in elastic braces are compared to stabilizing forces calculated on the basis of actual code requirements","PeriodicalId":503677,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140261794","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}
This article presents numerical modelling of the heat transfer process in a sample during cryopreservation by vitrification in a microfluidic system. Single-phase flow of the working fluid in the microchannels during warming was considered, while two-phase flow during cooling. The mathematical model is based on the Fourier equation with a source term that takes into account the degree of ice crystallisation. Fuzzy thermophysical parameters were assumed in the model. The problem was solved by the finite difference method and the fourth-order Runge-Kutta algorithm, using the concept of α -cuts. The results of numerical simulation were compared with the results from the literature.
{"title":"Cryopreservation analysis considering degree of crystallisation using fuzzy arithmetic","authors":"A. Piasecka-Belkhayat, A. Skorupa","doi":"10.15632/jtam-pl/183697","DOIUrl":"https://doi.org/10.15632/jtam-pl/183697","url":null,"abstract":"This article presents numerical modelling of the heat transfer process in a sample during cryopreservation by vitrification in a microfluidic system. Single-phase flow of the working fluid in the microchannels during warming was considered, while two-phase flow during cooling. The mathematical model is based on the Fourier equation with a source term that takes into account the degree of ice crystallisation. Fuzzy thermophysical parameters were assumed in the model. The problem was solved by the finite difference method and the fourth-order Runge-Kutta algorithm, using the concept of α -cuts. The results of numerical simulation were compared with the results from the literature.","PeriodicalId":503677,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"81 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140451247","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}
K. Magnucki, E. Magnucka-Blandzi, Krzysztof Sowiński
{"title":"Elastic buckling of a rectangular sandwich plate with an individual functionally graded core","authors":"K. Magnucki, E. Magnucka-Blandzi, Krzysztof Sowiński","doi":"10.15632/jtam-pl/178521","DOIUrl":"https://doi.org/10.15632/jtam-pl/178521","url":null,"abstract":"","PeriodicalId":503677,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"61 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140475935","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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