Pub Date : 2022-06-29DOI: 10.15625/0866-7136/16846
T. I. Thinh
In this paper, an approach is proposed and presented to tackle the vibro-acoustic properties of finite clamped composite sandwich plates with foam core. Composite sandwich plates are treated as being orthotropic and the apparent bending stiffnesses are calculated for the two principal directions. The apparent bending stiffnesses of composite sandwich plate are estimated by finite element calculation on beam elements cut from the considered composite sandwich plates. The sound transmission loss of clamped composite sandwich plates is predicted using orthotropic Kirchhoff’s plate theory, together with the obtained bending stiffnesses in two principal directions. Several sound transmission loss measurements were conducted in the laboratory on fiberglass/polyester composite sandwich plates with polyurethane foam core. The predicted sound transmission loss is compared with measured data and the agreement is reasonable.
{"title":"An approach on the vibro-acoustic properties of composite sandwich plates with foam core","authors":"T. I. Thinh","doi":"10.15625/0866-7136/16846","DOIUrl":"https://doi.org/10.15625/0866-7136/16846","url":null,"abstract":"In this paper, an approach is proposed and presented to tackle the vibro-acoustic properties of finite clamped composite sandwich plates with foam core. Composite sandwich plates are treated as being orthotropic and the apparent bending stiffnesses are calculated for the two principal directions. The apparent bending stiffnesses of composite sandwich plate are estimated by finite element calculation on beam elements cut from the considered composite sandwich plates. The sound transmission loss of clamped composite sandwich plates is predicted using orthotropic Kirchhoff’s plate theory, together with the obtained bending stiffnesses in two principal directions. Several sound transmission loss measurements were conducted in the laboratory on fiberglass/polyester composite sandwich plates with polyurethane foam core. The predicted sound transmission loss is compared with measured data and the agreement is reasonable.","PeriodicalId":239329,"journal":{"name":"Vietnam Journal of Mechanics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126784761","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 : 2022-06-21DOI: 10.15625/0866-7136/16696
T. Vo, Trung‐Kien Nguyen, C. T. Nguyen
Wet granular materials flowing down an inclined plane are omnipresent in multi-field engineering. Although extensive research has been carried out to investigate the flowability of such flows, our understanding of the flows like landslides is limited due to the presence of the cohesive forces between particles and the arbitrarity of inclination angle. In this paper, we explore the effects of the inclination angle on the velocity profiles and force distribution of the gravity-driven wet granular free-surface flows in the steady-flowing state by means of an extensive discrete element method with the inclusion of the capillary cohesion law. This capillary cohesion law is enhanced by the capillary attraction force due to the presence of the liquid bridges between near-neighboring particles. The results show that the mobility of wet granular materials is strongly controlled by the inclination angle due to the domination of the gravity effects of particles as compared to the cohesion effects and rough effects of the inclined surface. These observations are consistent with the previous experimental work done on the granular collapse on an inclined plane. Furthermore, in its steady-state flow, the granular materials separate stably into two different flowing regions: solid-like and fluid-like flows, and the depth of these flows strongly depends on the values of the inclination angle. More interestingly, the inclination angle also strongly governs the density and intensity of the tensile and compressive components of the normal forces and tangential forces in both solid-like and fluid-like regions with different characteristics.
{"title":"Gravity-driven wet granular free-surface flows down an inclined plane: Effects of the inclination angle","authors":"T. Vo, Trung‐Kien Nguyen, C. T. Nguyen","doi":"10.15625/0866-7136/16696","DOIUrl":"https://doi.org/10.15625/0866-7136/16696","url":null,"abstract":"\u0000\u0000\u0000Wet granular materials flowing down an inclined plane are omnipresent in multi-field engineering. Although extensive research has been carried out to investigate the flowability of such flows, our understanding of the flows like landslides is limited due to the presence of the cohesive forces between particles and the arbitrarity of inclination angle. In this paper, we explore the effects of the inclination angle on the velocity profiles and force distribution of the gravity-driven wet granular free-surface flows in the steady-flowing state by means of an extensive discrete element method with the inclusion of the capillary cohesion law. This capillary cohesion law is enhanced by the capillary attraction force due to the presence of the liquid bridges between near-neighboring particles. The results show that the mobility of wet granular materials is strongly controlled by the inclination angle due to the domination of the gravity effects of particles as compared to the cohesion effects and rough effects of the inclined surface. These observations are consistent with the previous experimental work done on the granular collapse on an inclined plane. Furthermore, in its steady-state flow, the granular materials separate stably into two different flowing regions: solid-like and fluid-like flows, and the depth of these flows strongly depends on the values of the inclination angle. More interestingly, the inclination angle also strongly governs the density and intensity of the tensile and compressive components of the normal forces and tangential forces in both solid-like and fluid-like regions with different characteristics.\u0000\u0000\u0000","PeriodicalId":239329,"journal":{"name":"Vietnam Journal of Mechanics","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132717423","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 : 2022-05-30DOI: 10.15625/0866-7136/16876
N. Khang, Dinh Cong Dat
The dynamics and control of flexible link manipulators (FLMs) are increasing in industrial robotics research. In which the problem of inverse dynamics of the flexible link manipulators is a problem that has been studied little and has no general solution. In this paper, an approximation method is presented to calculate the reverse dynamics of the serial manipulators with rigid-flexible links. The linearization of the motion equations for a rigid-flexible translation and rotation two-link manipulator (manipulator T-R) is addressed. The vibration control and calculating inverse dynamics of a periodic rigid-flexible two-link manipulator T-R are studied. The Taguchi method is used for the design of gain values of the controller PD for the manipulator. The results of numerical simulation show the efficiency and usefulness of the proposed approximation method.
{"title":"Vibration control and calculating inverse dynamics of the rigid-flexible two-link manipulator T-R","authors":"N. Khang, Dinh Cong Dat","doi":"10.15625/0866-7136/16876","DOIUrl":"https://doi.org/10.15625/0866-7136/16876","url":null,"abstract":"The dynamics and control of flexible link manipulators (FLMs) are increasing in industrial robotics research. In which the problem of inverse dynamics of the flexible link manipulators is a problem that has been studied little and has no general solution. In this paper, an approximation method is presented to calculate the reverse dynamics of the serial manipulators with rigid-flexible links. The linearization of the motion equations for a rigid-flexible translation and rotation two-link manipulator (manipulator T-R) is addressed. The vibration control and calculating inverse dynamics of a periodic rigid-flexible two-link manipulator T-R are studied. The Taguchi method is used for the design of gain values of the controller PD for the manipulator. The results of numerical simulation show the efficiency and usefulness of the proposed approximation method.","PeriodicalId":239329,"journal":{"name":"Vietnam Journal of Mechanics","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126824664","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 : 2022-05-12DOI: 10.15625/0866-7136/15715
A. S. Sayyad, Y. Ghugal
This study investigates the static and free vibration responses of orthotropic laminated composite spherical shells using various refined shear deformation theories. Displacement-based refined shear deformation theories are presented herein for the analysis of laminated composite spherical shells via unified mathematical formulations. Equations of motion associated with the present theory are derived within the framework of Hamilton's principle. Analytical solutions for the static and free vibration problems of laminated spherical shells are obtained using Navier's technique for the simply supported boundary conditions. Few higher order and classical theories are recovered from the present unified formulation; however, many other theories can be recovered from the present unified formulation. The numerical results are obtained for symmetric as well as anti-symmetric laminated shells. The present results are compared with previously published results and 3-D elasticity solution. From the numerical results, it is concluded that the present theories are in good agreement with other higher order theories and 3-D solutions.
{"title":"A unified formulation of various shell theories for the analysis of laminated composite spherical shells","authors":"A. S. Sayyad, Y. Ghugal","doi":"10.15625/0866-7136/15715","DOIUrl":"https://doi.org/10.15625/0866-7136/15715","url":null,"abstract":"This study investigates the static and free vibration responses of orthotropic laminated composite spherical shells using various refined shear deformation theories. Displacement-based refined shear deformation theories are presented herein for the analysis of laminated composite spherical shells via unified mathematical formulations. Equations of motion associated with the present theory are derived within the framework of Hamilton's principle. Analytical solutions for the static and free vibration problems of laminated spherical shells are obtained using Navier's technique for the simply supported boundary conditions. Few higher order and classical theories are recovered from the present unified formulation; however, many other theories can be recovered from the present unified formulation. The numerical results are obtained for symmetric as well as anti-symmetric laminated shells. The present results are compared with previously published results and 3-D elasticity solution. From the numerical results, it is concluded that the present theories are in good agreement with other higher order theories and 3-D solutions.","PeriodicalId":239329,"journal":{"name":"Vietnam Journal of Mechanics","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130338659","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 : 2022-04-22DOI: 10.15625/0866-7136/16760
V. Vyshinsky, Doan Cong Chinh
An approximate method is proposed for determining the aerodynamic effect of coherent vortex structures (CVS) of atmospheric turbulence on an aircraft. As a source of the CVS the vortex wind wakes arising when the atmospheric wind flows around the mountain massif of the Son Tra peninsula, located near the Da Nang airport, and the vortex wake behind the Su-27 type aircraft in the landing configuration are considered. Modeling the formation of a vortex structure is carried out by the grid method within the framework of the boundary value problem for the Reynolds-averaged Navier—Stokes equations. The evolution and stochastics of the far wake are modeled in a two-dimensional approximation by discrete Rankine vortices. The assessment of the increment of forces and moments from the effect of the vortex system on the aircraft was carried out within the framework of the panel method. The situation is considered when a light transport aircraft gets into a vortex wake behind an aircraft with a swept wing and a passenger aircraft of the MS-21 type, approaching for landing at the CVS from a mountainous terrain.
{"title":"Study of aerodynamic characteristics of an aircraft during approach to landing in a disturbed atmosphere","authors":"V. Vyshinsky, Doan Cong Chinh","doi":"10.15625/0866-7136/16760","DOIUrl":"https://doi.org/10.15625/0866-7136/16760","url":null,"abstract":"An approximate method is proposed for determining the aerodynamic effect of coherent vortex structures (CVS) of atmospheric turbulence on an aircraft. As a source of the CVS the vortex wind wakes arising when the atmospheric wind flows around the mountain massif of the Son Tra peninsula, located near the Da Nang airport, and the vortex wake behind the Su-27 type aircraft in the landing configuration are considered. Modeling the formation of a vortex structure is carried out by the grid method within the framework of the boundary value problem for the Reynolds-averaged Navier—Stokes equations. The evolution and stochastics of the far wake are modeled in a two-dimensional approximation by discrete Rankine vortices. The assessment of the increment of forces and moments from the effect of the vortex system on the aircraft was carried out within the framework of the panel method. The situation is considered when a light transport aircraft gets into a vortex wake behind an aircraft with a swept wing and a passenger aircraft of the MS-21 type, approaching for landing at the CVS from a mountainous terrain.","PeriodicalId":239329,"journal":{"name":"Vietnam Journal of Mechanics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130022072","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 : 2022-03-31DOI: 10.15625/0866-7136/16834
Cong Ich Le, Q. D. Tran, Van Dung Lam, D. Nguyen
The size-dependent behavior of a silicon microbeam with an axial force in MEMS is studied using a nonlinear finite element procedure. Based on a refined third-order shear deformation theory and the modified couple stress theory (MCST), nonlinear differential equations of motion for the beam are derived from Hamilton’s principle, and they are transferred to a discretized form using a two-node beam element. Newton-Raphson based iterative procedure is used in conjunction with Newmark method to obtain the pull-in voltages and deflections of a clamped-clamped microbeam under electrostatic actuation. The influence of the axial force, applied voltage and material length scale parameter on the behavior of the beam is studied in detail and highlighted.
{"title":"Size-dependent behavior of a MEMS microbeam under electrostatic actuation","authors":"Cong Ich Le, Q. D. Tran, Van Dung Lam, D. Nguyen","doi":"10.15625/0866-7136/16834","DOIUrl":"https://doi.org/10.15625/0866-7136/16834","url":null,"abstract":"The size-dependent behavior of a silicon microbeam with an axial force in MEMS is studied using a nonlinear finite element procedure. Based on a refined third-order shear deformation theory and the modified couple stress theory (MCST), nonlinear differential equations of motion for the beam are derived from Hamilton’s principle, and they are transferred to a discretized form using a two-node beam element. Newton-Raphson based iterative procedure is used in conjunction with Newmark method to obtain the pull-in voltages and deflections of a clamped-clamped microbeam under electrostatic actuation. The influence of the axial force, applied voltage and material length scale parameter on the behavior of the beam is studied in detail and highlighted.","PeriodicalId":239329,"journal":{"name":"Vietnam Journal of Mechanics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131120805","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 : 2022-03-30DOI: 10.15625/0866-7136/16582
V. Senthilkumar
The present study investigates the axial vibration of double-walled nanotubes. Using the nanorod continuum model with the van der Waals effect, the vibrational frequencies are studied. Aydogdu (Journal of Vibration and Control, Vol. 21, Issue 16, (2015), 3132-3154) proposed a reliable model for the study of axial vibration in a double-walled nanotube. This model provided a detailed investigation of axial vibration using van der Waals effects. But sometimes, the wrong equation might lead to erroneous scientific results. The incorrect term for axial vibration in the double-walled nanotube model is taken care of in the present study for the correct scientific inferences. Effectively, the axial vibrational frequencies appear without decoupling the continuum model as for primary and secondary nanotubes. The semi-analytical method estimates the axial vibrational frequencies of the double-walled nanotube as a coupled model. Two different boundary conditions like clamped-clamped and clamped-free support, are considered in this computation. The Pasternak medium support and magnetic effects influence the vibrational frequencies of the first and second nanotube for the first time. The Pasternak constant and magnetic parameters don't vary with the length of the nanotube for axial vibration. It means that still more understanding requires in modeling the Pasternak medium and magnetic force for the double-nanotube to model axial vibration.
本文研究了双壁纳米管的轴向振动。采用具有范德华效应的纳米棒连续体模型，研究了其振动频率。Aydogdu (Journal of Vibration and Control, Vol. 21, Issue 16，(2015)， 3132-3154)提出了一种研究双壁纳米管轴向振动的可靠模型。该模型利用范德华效应对轴向振动进行了详细的研究。但有时，错误的方程式可能会导致错误的科学结果。为了得到正确的科学推论，本研究注意到双壁纳米管模型中轴向振动的不正确项。对于初级和次级纳米管，轴向振动频率在连续介质模型中没有解耦。半解析法估计了双壁纳米管作为耦合模型的轴向振动频率。计算中考虑了夹固支承和无夹固支承两种不同的边界条件。帕斯捷尔纳克介质支持和磁效应首次影响了第一和第二纳米管的振动频率。轴向振动的帕斯捷尔纳克常数和磁性参数不随纳米管长度的变化而变化。这意味着在模拟帕斯捷尔纳克介质和双纳米管的磁力以模拟轴向振动方面还需要更多的理解。
{"title":"Axial vibration of double-walled carbon nanotubes using double-nanorod model with van der Waals force under Pasternak medium and magnetic effects","authors":"V. Senthilkumar","doi":"10.15625/0866-7136/16582","DOIUrl":"https://doi.org/10.15625/0866-7136/16582","url":null,"abstract":"The present study investigates the axial vibration of double-walled nanotubes. Using the nanorod continuum model with the van der Waals effect, the vibrational frequencies are studied. Aydogdu (Journal of Vibration and Control, Vol. 21, Issue 16, (2015), 3132-3154) proposed a reliable model for the study of axial vibration in a double-walled nanotube. This model provided a detailed investigation of axial vibration using van der Waals effects. But sometimes, the wrong equation might lead to erroneous scientific results. The incorrect term for axial vibration in the double-walled nanotube model is taken care of in the present study for the correct scientific inferences. Effectively, the axial vibrational frequencies appear without decoupling the continuum model as for primary and secondary nanotubes. The semi-analytical method estimates the axial vibrational frequencies of the double-walled nanotube as a coupled model. Two different boundary conditions like clamped-clamped and clamped-free support, are considered in this computation. The Pasternak medium support and magnetic effects influence the vibrational frequencies of the first and second nanotube for the first time. The Pasternak constant and magnetic parameters don't vary with the length of the nanotube for axial vibration. It means that still more understanding requires in modeling the Pasternak medium and magnetic force for the double-nanotube to model axial vibration.","PeriodicalId":239329,"journal":{"name":"Vietnam Journal of Mechanics","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122127299","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 : 2022-03-30DOI: 10.15625/0866-7136/16679
M. Nguyen, T. Bui
This paper presents a novel topology optimization approach without calculation of sensitivity for the minimum compliance problems, based on the meshfree Radial Point Interpolation Method (RPIM). Relying on the algorithm of Proportional Topology Optimization (PTO), material is distributed using only information of the objective function (which is the elastic strain energy). Material properties are interpolated by the well-known Solid Isotropic Material with Penalization (SIMP) technique; however the pseudo density (design variables) are not defined on the element center as usually encountered in finite element-based approaches, but on integration points. Since no element exists in meshfree analysis, this would be a natural choice. More importantly, the number of integration points is in general larger than that of elements or that of nodes, resulting in higher resolution of the density field. The feasibility and efficiency of the proposed approach are demonstrated and discussed via several numerical examples.
{"title":"A meshfree-based topology optimization approach without calculation of sensitivity","authors":"M. Nguyen, T. Bui","doi":"10.15625/0866-7136/16679","DOIUrl":"https://doi.org/10.15625/0866-7136/16679","url":null,"abstract":"This paper presents a novel topology optimization approach without calculation of sensitivity for the minimum compliance problems, based on the meshfree Radial Point Interpolation Method (RPIM). Relying on the algorithm of Proportional Topology Optimization (PTO), material is distributed using only information of the objective function (which is the elastic strain energy). Material properties are interpolated by the well-known Solid Isotropic Material with Penalization (SIMP) technique; however the pseudo density (design variables) are not defined on the element center as usually encountered in finite element-based approaches, but on integration points. Since no element exists in meshfree analysis, this would be a natural choice. More importantly, the number of integration points is in general larger than that of elements or that of nodes, resulting in higher resolution of the density field. The feasibility and efficiency of the proposed approach are demonstrated and discussed via several numerical examples.","PeriodicalId":239329,"journal":{"name":"Vietnam Journal of Mechanics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122355226","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 : 2022-03-30DOI: 10.15625/0866-7136/16539
Baljeet Singh, A. Sangwan, J. Singh
The properties of Rayleigh-type surface wave in a linear, homogeneous and transversely isotropic nonlocal micropolar piezoelectric solid half-space are explored. Dispersion relations for Rayleigh-type surface wave are derived for both charge free and electrically shorted cases. Using an algorithm of iteration method in MATLAB software, the wave speed of Rayleigh wave is computed for relevant material constants. The effects of nonlocality, angular frequency, micropolarity and piezoelectricity are illustrated graphically on the propagation speed of Rayleigh wave.
{"title":"Nonlocal effects on Rayleigh-type surface wave in a micropolar piezoelectric medium","authors":"Baljeet Singh, A. Sangwan, J. Singh","doi":"10.15625/0866-7136/16539","DOIUrl":"https://doi.org/10.15625/0866-7136/16539","url":null,"abstract":"The properties of Rayleigh-type surface wave in a linear, homogeneous and transversely isotropic nonlocal micropolar piezoelectric solid half-space are explored. Dispersion relations for Rayleigh-type surface wave are derived for both charge free and electrically shorted cases. Using an algorithm of iteration method in MATLAB software, the wave speed of Rayleigh wave is computed for relevant material constants. The effects of nonlocality, angular frequency, micropolarity and piezoelectricity are illustrated graphically on the propagation speed of Rayleigh wave.","PeriodicalId":239329,"journal":{"name":"Vietnam Journal of Mechanics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128574842","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 : 2022-03-30DOI: 10.15625/0866-7136/16852
P. H. Nguyen, C. Le, Phuc L. H. Ho
This paper presents a computational homogenization shakedown analysis of periodic perforated materials with von Mises matrices. The plastic behaviors of the perforated materials under cyclic macroscopic loads are studied by means of kinematic shakedown theorem and computational homogenization method. The kinematic micro-fields are approximated by the edge-based smoothed finite element method. The resulting large-scale optimization problem is efficiently solved by using conic solver, enabling a large number of points on the macroscopic strength and fatigue surface to be calculated rapidly. The effects of the hole's shape and size on the overall strength and fatigue domains are also investigated.
{"title":"Strength and fatigue analysis of periodic perforated materials using the computational homogenization and ES-FEM approaches","authors":"P. H. Nguyen, C. Le, Phuc L. H. Ho","doi":"10.15625/0866-7136/16852","DOIUrl":"https://doi.org/10.15625/0866-7136/16852","url":null,"abstract":"This paper presents a computational homogenization shakedown analysis of periodic perforated materials with von Mises matrices. The plastic behaviors of the perforated materials under cyclic macroscopic loads are studied by means of kinematic shakedown theorem and computational homogenization method. The kinematic micro-fields are approximated by the edge-based smoothed finite element method. The resulting large-scale optimization problem is efficiently solved by using conic solver, enabling a large number of points on the macroscopic strength and fatigue surface to be calculated rapidly. The effects of the hole's shape and size on the overall strength and fatigue domains are also investigated.","PeriodicalId":239329,"journal":{"name":"Vietnam Journal of Mechanics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121285555","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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