Pub Date : 2022-05-18DOI: 10.1142/s2424913022450011
P. T. Hùng, Chien H. Thai, P. Phung-Van
In this paper, the free vibration and mechanical buckling analyses of the metal foam plates with porosities via a moving Kriging meshfree method based on the higher-order shear deformation theory are studied. The displacement fields are approximated by the moving Kriging shape functions, which satisfy Kronecker’s delta property. Thanks to that property, the essential boundary conditions can be directly imposed the same with finite element method. In this study, the porosities are distributed by uniform, symmetric, and asymmetric distributions along the thickness direction. The natural frequency and critical buckling load of the metal foam plate are determined by solving the explicit governing equations, which are derived through the variational formulation. The influence of the porosity distribution, porous coefficient, width-to-thickness ratio and boundary condition on the natural frequency and critical buckling load of the porous metal foam plate is investigated and discussed in detail. Numerical examples indicate that the present approach is stable and well accurate predictions for investigating vibration and buckling behaviors of the porous metal foam plate. Moreover, an increase of the porous coefficient makes a decline of the natural frequencies and critical buckling loads of the plate.
{"title":"A moving Kriging meshfree approach for free vibration and buckling analyses of porous metal foam plates","authors":"P. T. Hùng, Chien H. Thai, P. Phung-Van","doi":"10.1142/s2424913022450011","DOIUrl":"https://doi.org/10.1142/s2424913022450011","url":null,"abstract":"In this paper, the free vibration and mechanical buckling analyses of the metal foam plates with porosities via a moving Kriging meshfree method based on the higher-order shear deformation theory are studied. The displacement fields are approximated by the moving Kriging shape functions, which satisfy Kronecker’s delta property. Thanks to that property, the essential boundary conditions can be directly imposed the same with finite element method. In this study, the porosities are distributed by uniform, symmetric, and asymmetric distributions along the thickness direction. The natural frequency and critical buckling load of the metal foam plate are determined by solving the explicit governing equations, which are derived through the variational formulation. The influence of the porosity distribution, porous coefficient, width-to-thickness ratio and boundary condition on the natural frequency and critical buckling load of the porous metal foam plate is investigated and discussed in detail. Numerical examples indicate that the present approach is stable and well accurate predictions for investigating vibration and buckling behaviors of the porous metal foam plate. Moreover, an increase of the porous coefficient makes a decline of the natural frequencies and critical buckling loads of the plate.","PeriodicalId":36070,"journal":{"name":"Journal of Micromechanics and Molecular Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47760396","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 : 2022-05-13DOI: 10.1142/s242491302241003x
Kishan Dwivedi, G. Arora, Himanshu Pathak
{"title":"Fatigue crack growth in CNT reinforced polymer composite","authors":"Kishan Dwivedi, G. Arora, Himanshu Pathak","doi":"10.1142/s242491302241003x","DOIUrl":"https://doi.org/10.1142/s242491302241003x","url":null,"abstract":"","PeriodicalId":36070,"journal":{"name":"Journal of Micromechanics and Molecular Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49134994","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 : 2022-05-13DOI: 10.1142/s2424913021420169
Kerlin P. Robert, James D. Lee
{"title":"Multiscale Modeling of Fracture in 2D Materials","authors":"Kerlin P. Robert, James D. Lee","doi":"10.1142/s2424913021420169","DOIUrl":"https://doi.org/10.1142/s2424913021420169","url":null,"abstract":"","PeriodicalId":36070,"journal":{"name":"Journal of Micromechanics and Molecular Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46566957","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 : 2022-05-05DOI: 10.1142/s2424913022410028
Fucong Lu, Kun Zhang, Yilin Zhu
To improve the three-point bending capacity of the pyramid lattice sandwich beam, a non-uniform pyramid lattice sandwich structure is proposed in this paper by assigning different diameters to the tensile and compressive core rods and setting the ratio of the diameters of the two kinds of core rods as a non-uniform coefficient. The influence of the non-uniform coefficients on the three-point bending performance of the pyramid lattice sandwich beam is analyzed theoretically and numerically. Results show that the introduction of the non-uniform coefficients can significantly improve the bending ultimate bearing capacity of the structure. Compared with the uniform lattice sandwich beam, the optimal non-uniform coefficients increase the bending ultimate bearing capacity by 39%. Moreover, it is revealed that the optimal non-uniform coefficient ([Formula: see text]) decreases with the increase of the total mass of the structure. The research on the three-point bending performance of non-uniform lattice sandwich beams in this paper can provide guidance for the optimal design of lightweight lattice sandwich structures.
{"title":"Bending behavior of pyramid lattice sandwich beams with non-uniform truss cores","authors":"Fucong Lu, Kun Zhang, Yilin Zhu","doi":"10.1142/s2424913022410028","DOIUrl":"https://doi.org/10.1142/s2424913022410028","url":null,"abstract":"To improve the three-point bending capacity of the pyramid lattice sandwich beam, a non-uniform pyramid lattice sandwich structure is proposed in this paper by assigning different diameters to the tensile and compressive core rods and setting the ratio of the diameters of the two kinds of core rods as a non-uniform coefficient. The influence of the non-uniform coefficients on the three-point bending performance of the pyramid lattice sandwich beam is analyzed theoretically and numerically. Results show that the introduction of the non-uniform coefficients can significantly improve the bending ultimate bearing capacity of the structure. Compared with the uniform lattice sandwich beam, the optimal non-uniform coefficients increase the bending ultimate bearing capacity by 39%. Moreover, it is revealed that the optimal non-uniform coefficient ([Formula: see text]) decreases with the increase of the total mass of the structure. The research on the three-point bending performance of non-uniform lattice sandwich beams in this paper can provide guidance for the optimal design of lightweight lattice sandwich structures.","PeriodicalId":36070,"journal":{"name":"Journal of Micromechanics and Molecular Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48021225","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 : 2022-04-28DOI: 10.1142/s2424913022020015
Jiaoyan Li
{"title":"Preface: Special Issue of Professor Eringen’s Centennial Anniversary","authors":"Jiaoyan Li","doi":"10.1142/s2424913022020015","DOIUrl":"https://doi.org/10.1142/s2424913022020015","url":null,"abstract":"","PeriodicalId":36070,"journal":{"name":"Journal of Micromechanics and Molecular Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46561043","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 : 2022-04-13DOI: 10.1142/s2424913021420157
M. Massoudi, G. Ahmadi
A continuum theory for multiphase particulate suspensions in liquid media was formulated. The generalized fundamental balance laws for the particulate phases and the continuous fluid phase were presented. The thermodynamics of the multiphase system was studied, and the method of Lagrangian multipliers was employed to include the incompressibility of materials constraint and the criterion for fully saturated media. Constitutive equations were developed, which included micro-rotational and micro-dilatational effects. The basic equations of motion of different phases were derived and discussed. Special considerations were given to the case of incompressible constituents. Applications of this theory to nanofluids, dilute suspension flows, and multiphase sedimentations were also described.
{"title":"Generalized mechanics of incompressible multiphase suspensions","authors":"M. Massoudi, G. Ahmadi","doi":"10.1142/s2424913021420157","DOIUrl":"https://doi.org/10.1142/s2424913021420157","url":null,"abstract":"A continuum theory for multiphase particulate suspensions in liquid media was formulated. The generalized fundamental balance laws for the particulate phases and the continuous fluid phase were presented. The thermodynamics of the multiphase system was studied, and the method of Lagrangian multipliers was employed to include the incompressibility of materials constraint and the criterion for fully saturated media. Constitutive equations were developed, which included micro-rotational and micro-dilatational effects. The basic equations of motion of different phases were derived and discussed. Special considerations were given to the case of incompressible constituents. Applications of this theory to nanofluids, dilute suspension flows, and multiphase sedimentations were also described.","PeriodicalId":36070,"journal":{"name":"Journal of Micromechanics and Molecular Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45229972","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 : 2022-04-06DOI: 10.1142/s2424913021420133
A. Selimov, K. Chu, D. McDowell
Recent developments in generalized continuum modeling methods ranging from coarse-grained atomistics to micromorphic theory offer potential to make more intimate physical contact with dislocation field problems framed at length scales on the order of microns. We explore a range of discrete dynamical and continuum mechanics approaches to crystal plasticity that are relevant to modeling behavior of populations of dislocations. Predictive atomistic and coarse-grained atomistic models are limited in terms of length and time scales that can be accessed; examples of the latter are discussed in terms of interactions of multiple dislocations in heterogeneous systems. Generalized continuum models alleviate restrictions to a significant extent in modeling larger scales of dislocation configurations and reactions, and are useful to consider effects of dislocation configuration on strength at characteristic length scales of sub-micron and above; these models require a combination of bottomup models and top-down experimental information to inform parameters and model form. The concurrent atomistic-continuum (CAC) method is extended to model complex multicomponent alloy systems using an average atom approach. Examples of CAC are presented, along with potential to assist in informing parameters of a recently developed micropolar crystal plasticity model based on a set of sub-micron dislocation field problems. Prospects for further developments are discussed.
{"title":"Coarse-grained atomistic modeling of dislocations and generalized crystal plasticity","authors":"A. Selimov, K. Chu, D. McDowell","doi":"10.1142/s2424913021420133","DOIUrl":"https://doi.org/10.1142/s2424913021420133","url":null,"abstract":"Recent developments in generalized continuum modeling methods ranging from coarse-grained atomistics to micromorphic theory offer potential to make more intimate physical contact with dislocation field problems framed at length scales on the order of microns. We explore a range of discrete dynamical and continuum mechanics approaches to crystal plasticity that are relevant to modeling behavior of populations of dislocations. Predictive atomistic and coarse-grained atomistic models are limited in terms of length and time scales that can be accessed; examples of the latter are discussed in terms of interactions of multiple dislocations in heterogeneous systems. Generalized continuum models alleviate restrictions to a significant extent in modeling larger scales of dislocation configurations and reactions, and are useful to consider effects of dislocation configuration on strength at characteristic length scales of sub-micron and above; these models require a combination of bottomup models and top-down experimental information to inform parameters and model form. The concurrent atomistic-continuum (CAC) method is extended to model complex multicomponent alloy systems using an average atom approach. Examples of CAC are presented, along with potential to assist in informing parameters of a recently developed micropolar crystal plasticity model based on a set of sub-micron dislocation field problems. Prospects for further developments are discussed.","PeriodicalId":36070,"journal":{"name":"Journal of Micromechanics and Molecular Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48129435","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 : 2022-03-03DOI: 10.1142/s2424913022410016
Akash Verma, S. Vedantam, K. Akella, S. M. Srinivasan
Unidirectional fibre-reinforced polymer (UDFRP) composites exhibit statistical variations in the material properties. It is essential to acknowledge these variations and use a statistics-based strength property for designing composite structures. In this work, the effect of non-uniformity in inter-fibre distance on the statistics of strength distribution of UDFRP composite is studied through computational micromechanics. Micromechanics-based realisations of the UDFRP composite are developed with a quantified measure of non-uniformity (MoN) in fibre distribution through an algorithm. Several realisations of these models are created for each non-uniform fibre distribution. External stress is applied to each realisation in the transverse direction till failure initiates in the matrix. The modified Drucker–Prager failure criteria are implemented for matrix failure. This externally applied stress is termed as the failure initiation strength. Statistical distribution of failure initiation strength is obtained for each fibre distribution. Variations of mean value, standard deviation and [Formula: see text]-basis of failure initiation strength with the measure of non-uniformity in fibre distribution are studied for the fibre volume fractions of 0.5 and 0.6. In addition to the mean value, non-uniformity in fibre distribution also significantly influences the standard deviation and [Formula: see text]-basis of strength distribution.
{"title":"Influence of non-uniformity in inter-fibre distance on strength distribution of unidirectional fibre-reinforced polymer composites","authors":"Akash Verma, S. Vedantam, K. Akella, S. M. Srinivasan","doi":"10.1142/s2424913022410016","DOIUrl":"https://doi.org/10.1142/s2424913022410016","url":null,"abstract":"Unidirectional fibre-reinforced polymer (UDFRP) composites exhibit statistical variations in the material properties. It is essential to acknowledge these variations and use a statistics-based strength property for designing composite structures. In this work, the effect of non-uniformity in inter-fibre distance on the statistics of strength distribution of UDFRP composite is studied through computational micromechanics. Micromechanics-based realisations of the UDFRP composite are developed with a quantified measure of non-uniformity (MoN) in fibre distribution through an algorithm. Several realisations of these models are created for each non-uniform fibre distribution. External stress is applied to each realisation in the transverse direction till failure initiates in the matrix. The modified Drucker–Prager failure criteria are implemented for matrix failure. This externally applied stress is termed as the failure initiation strength. Statistical distribution of failure initiation strength is obtained for each fibre distribution. Variations of mean value, standard deviation and [Formula: see text]-basis of failure initiation strength with the measure of non-uniformity in fibre distribution are studied for the fibre volume fractions of 0.5 and 0.6. In addition to the mean value, non-uniformity in fibre distribution also significantly influences the standard deviation and [Formula: see text]-basis of strength distribution.","PeriodicalId":36070,"journal":{"name":"Journal of Micromechanics and Molecular Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41822985","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 : 2022-02-26DOI: 10.1142/s2424913021420108
Leyu Wang, Chenxi Ling, C. Kan, Chi-Chain Yang
A lithium-ion battery simulation model is developed for a fully coupled thermal–electrical–mechanical analysis. The model is calibrated with the hemispherical punch test for its mechanical response and an external short-circuit test for its electrical property. Realistic physical property and representative geometry are used to model each battery component. Randles circuit is used to represent the electric property of the battery. A piecewise linear plasticity model is applied to model the deformation and failure of each cell material. The simulation result of the external short-circuit test suggests that most heat is generated at the layer of cathode material near the current-collecting tabs. The punch test of a discharging battery is simulated; the result suggests the mechanical deformation can cause extra Ohm heating at the deformed location. The mechanically generated heat caused by impact also plays a role in the rise of the cell temperature.
{"title":"A coupled thermal–electrical–mechanical analysis for lithium-ion battery","authors":"Leyu Wang, Chenxi Ling, C. Kan, Chi-Chain Yang","doi":"10.1142/s2424913021420108","DOIUrl":"https://doi.org/10.1142/s2424913021420108","url":null,"abstract":"A lithium-ion battery simulation model is developed for a fully coupled thermal–electrical–mechanical analysis. The model is calibrated with the hemispherical punch test for its mechanical response and an external short-circuit test for its electrical property. Realistic physical property and representative geometry are used to model each battery component. Randles circuit is used to represent the electric property of the battery. A piecewise linear plasticity model is applied to model the deformation and failure of each cell material. The simulation result of the external short-circuit test suggests that most heat is generated at the layer of cathode material near the current-collecting tabs. The punch test of a discharging battery is simulated; the result suggests the mechanical deformation can cause extra Ohm heating at the deformed location. The mechanically generated heat caused by impact also plays a role in the rise of the cell temperature.","PeriodicalId":36070,"journal":{"name":"Journal of Micromechanics and Molecular Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41833596","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 : 2022-02-23DOI: 10.1142/s2424913021300012
G. Cao
Nanofluidic energy damper (NED) is recently developed to absorb and damp the mechanical work done by impact load, made by a sealed solid–liquid hybrid system containing solid nanoporous materials and nonwetting liquid. Based upon an entirely new energy damping mechanism, NED shows a great potential not only for giving a high energy damping density but also for performing energy damping behavior repeatedly. Here, we review the recent progress in this field to identify existing issues and opportunities for future studies, including selected numerical and experimental studies related to energy damping mechanism and performance, and some of the key issues associated with the system which might affect the NED’s energy damping density and repeatable energy damping performance.
{"title":"Nanofluidic energy damper: Modeling, simulation and analysis","authors":"G. Cao","doi":"10.1142/s2424913021300012","DOIUrl":"https://doi.org/10.1142/s2424913021300012","url":null,"abstract":"Nanofluidic energy damper (NED) is recently developed to absorb and damp the mechanical work done by impact load, made by a sealed solid–liquid hybrid system containing solid nanoporous materials and nonwetting liquid. Based upon an entirely new energy damping mechanism, NED shows a great potential not only for giving a high energy damping density but also for performing energy damping behavior repeatedly. Here, we review the recent progress in this field to identify existing issues and opportunities for future studies, including selected numerical and experimental studies related to energy damping mechanism and performance, and some of the key issues associated with the system which might affect the NED’s energy damping density and repeatable energy damping performance.","PeriodicalId":36070,"journal":{"name":"Journal of Micromechanics and Molecular Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45559917","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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