{"title":"Computational Homogenization of Heterogeneous Materials by a Novel Hybrid Numerical Scheme","authors":"M. Cascio, M. Grifò, A. Milazzo, I. Benedetti","doi":"10.1142/s1756973720500080","DOIUrl":"https://doi.org/10.1142/s1756973720500080","url":null,"abstract":"The Virtual Element Method (VEM) is a recent numerical technique capable of dealing with very general polygonal and polyhedral mesh elements, including irregular or non-convex ones. Because of this feature, the VEM ensures noticeable simplification in the data preparation stage of the analysis, especially for problems whose analysis domain features complex geometries, as in the case of computational micro-mechanics problems. The Boundary Element Method (BEM) is a well known, extensively used and effective numerical technique for the solution of several classes of problems in science and engineering. Due to its underlying formulation, the BEM allows reducing the dimensionality of the problem, resulting in substantial simplification of the pre-processing stage and in the reduction of the computational effort, without jeopardizing the solution accuracy. In this contribution, we explore the possibility of a coupling VEM and BEM for computational homogenization of heterogeneous materials with complex microstructures. The test morphologies consist of unit cells with irregularly shaped inclusions, representative e.g., of a fiber-reinforced polymer composite. The BEM is used to model the inclusions, while the VEM is used to model the surrounding matrix material. Benchmark finite element solutions are used to validate the analysis results.","PeriodicalId":43242,"journal":{"name":"Journal of Multiscale Modelling","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2020-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48628850","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}
F. Abdi, H. Baid, N. Moazami, J. Batten, Dade Huang, Amirhossein Eftekharian, R. Hajiha, K. Nikbin
{"title":"Reactive Additive Manufacturing Simulation of Thermoset Nano Graphene Inclusion","authors":"F. Abdi, H. Baid, N. Moazami, J. Batten, Dade Huang, Amirhossein Eftekharian, R. Hajiha, K. Nikbin","doi":"10.1142/s1756973720500043","DOIUrl":"https://doi.org/10.1142/s1756973720500043","url":null,"abstract":"During the 3D printing of graphene platelet inclusion in resin, residual stresses due to thermal loading can cause wrinkle/distortion of final part. This paper presents a multi-scale modeling approach to reduce the residual thermal stress at the interphase between inclusion and resin. Material characterization is performed utilizing an integrated multi-scale modeling approach: (a) nano modeling examines effect of defects such as void shape/size/distribution, platelet orientation, etc.); (b) micro-mechanics examines constituents (platelet/matrix/interphase, residual stress); (c) macro-mechanics examines the delamination and debonding. De-homogenized multi-scale modeling approach provides detailed stiffness/strength to Finite Element Model (FEM) for full structural/thermal progressive failure analysis to address wrinkling/distortion, damage and delamination evolution via cohesive traction separation.","PeriodicalId":43242,"journal":{"name":"Journal of Multiscale Modelling","volume":"11 1","pages":"2050004"},"PeriodicalIF":1.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/s1756973720500043","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42290133","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":"Analytical Study for Fractional Order Mathematical Model of Concentration of Ca2+ in Astrocytes Cell with a Composite Fractional Derivative","authors":"Vinod Gill, Yudhveer Singh, Devendra Kumar, Jagdev Singh","doi":"10.1142/s1756973720500055","DOIUrl":"https://doi.org/10.1142/s1756973720500055","url":null,"abstract":"In this paper, we have studied the concentration profile of Cytosolic calcium ion (Ca[Formula: see text] with the aid of fractional calculus. A mathematical model has been considered to examine the influence of fractional advection diffusion equation (cross flow) for the calcium profile. A closed form solution of the fractional advection diffusion equation, arising in study of diffusion of cytosolic calcium in astocytes cell, has been obtained by using Sumudu transform techniques. Graphs for the calcium concentration profiles have been simulated for certain values of the parameters to examine the various effects on concentrations of Cytosolic calcium ion.","PeriodicalId":43242,"journal":{"name":"Journal of Multiscale Modelling","volume":"11 1","pages":"2050005"},"PeriodicalIF":1.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/s1756973720500055","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47334080","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":"Design and Analysis of Composite Window Frame for a Regional Aircraft","authors":"J. A. Lopes, O. Bacarreza, Z. S. Khodaei","doi":"10.1142/s1756973720500067","DOIUrl":"https://doi.org/10.1142/s1756973720500067","url":null,"abstract":"This work presents the design and analysis of a thermoplastic composite window frame for integration into a regional aircraft. The main parameters which are investigated include buckling, damage and failure loads of a composite window frame subjected to shear loads repesentative of fuselage skin stress distribution due to flight loads. The attachment of such thermoplastic window frame to a thermoset fuselage skin was investigated including both adhesively bonded interface as well as riveting. Even though the bonded frame did meet the design criteria, its failure was very sudden, and the riveted assembly showed a considerably higher strength and structural integrity. The numerical simulation resulted in failure loads which matched very closely to experimental results.","PeriodicalId":43242,"journal":{"name":"Journal of Multiscale Modelling","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2020-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/s1756973720500067","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42191180","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}
F. Barbe, I. Benedetti, V. Gulizzi, M. Calvat, C. Keller
{"title":"Elucidating the Effect of Bimodal Grain Size Distribution on Plasticity and Fracture Behavior of Polycrystalline Materials","authors":"F. Barbe, I. Benedetti, V. Gulizzi, M. Calvat, C. Keller","doi":"10.1142/s1756973720500079","DOIUrl":"https://doi.org/10.1142/s1756973720500079","url":null,"abstract":"The refinement of grains in a polycrystalline material leads to an increase in strength but as a counterpart to a decrease in elongation to fracture. Different routes are proposed in the literature to try to overpass this strength-ductility dilemma, based on the combination of grains with highly contrasted sizes. In the simplest concept, coarse grains are used to provide relaxation locations for the highly stressed fine grains. In this work, a model bimodal polycrystalline system with a single coarse grain embedded in a matrix of fine grains is considered. Numerical full-field micro-mechanical analyses are performed to characterize the impact of this coarse grain on the stress-strain constitutive behavior of the polycrystal: the effect on plasticity is assessed by means of crystal plasticity finite element modeling [B. Flipon, C. Keller, L. Garcia de la Cruz, E. Hug and F. Barbe, Tensile properties of spark plasma sintered AISI 316L stainless steel with unimodal and bimodal grain size distributions, Mater. Sci. Eng. A 729 (2018) 248–256] while the effect on intergranular fracture behavior is studied by using boundary element modeling [I. Benedetti and V. Gulizzi, A grain-scale model for high-cycle fatigue degradation in polycrystalline materials, Int. J. Fract. 116 (2018) 90–105]. The analysis of the computational results, compared to the experimentally characterized tensile properties of a bimodal 316L stainless steel, suggests that the elasto-plastic interactions taking place prior to micro-cracking may play an important role in the mechanics of fracture of this steel.","PeriodicalId":43242,"journal":{"name":"Journal of Multiscale Modelling","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2020-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41999656","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":"Approximation of Calcium Diffusion in Alzheimeric Cell","authors":"B. Jha, Devanshi D. Dave","doi":"10.1142/s1756973720500018","DOIUrl":"https://doi.org/10.1142/s1756973720500018","url":null,"abstract":"Alzheimer’s disease (AD) is the most common form of dementia prevailing worldwide. It has been found that the higher level of cytosolic calcium leads to the pathological symptoms of AD and the two ...","PeriodicalId":43242,"journal":{"name":"Journal of Multiscale Modelling","volume":"11 1","pages":"2050001"},"PeriodicalIF":1.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/s1756973720500018","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47215658","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":"Influence of Moving Heat Source on Skin Tissue in the Context of Two-Temperature Caputo–Fabrizio Heat Transport Law","authors":"A. Sur, S. Mondal, M. Kanoria","doi":"10.1142/s175697372050002x","DOIUrl":"https://doi.org/10.1142/s175697372050002x","url":null,"abstract":"Modeling and understanding heat transport and temperature variations within biological tissues and body organs are key issues in medical thermal therapeutic applications, such as hyperthermia cance...","PeriodicalId":43242,"journal":{"name":"Journal of Multiscale Modelling","volume":"11 1","pages":"2050002"},"PeriodicalIF":1.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/s175697372050002x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44922491","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}
Dung Nguyen-Trong, Cuong Nguyen-Chinh, Van Duong-Quoc
{"title":"Study on the Effect of Doping on Lattice Constant and Electronic Structure of Bulk AuCu by the Density Functional Theory","authors":"Dung Nguyen-Trong, Cuong Nguyen-Chinh, Van Duong-Quoc","doi":"10.1142/s1756973720300014","DOIUrl":"https://doi.org/10.1142/s1756973720300014","url":null,"abstract":"This paper studies the effect of GGA-PBE, GGA-PBEsol, GGA-PW91, GGA-VWN-BP, LDA-PWC, LDA-VWN parameterized exchange–correlation functionals and Cu impurity concentration on the lattice and electron...","PeriodicalId":43242,"journal":{"name":"Journal of Multiscale Modelling","volume":"11 1","pages":"2030001"},"PeriodicalIF":1.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/s1756973720300014","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48140611","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":"Refinement of the Maxwell Formula for Fiber-Reinforced Composites","authors":"A. Kalamkarov, I. Andrianov, G. Starushenko","doi":"10.1142/S175697371950001X","DOIUrl":"https://doi.org/10.1142/S175697371950001X","url":null,"abstract":"The effective properties of the fiber-reinforced composite materials with fibers of square cross-section are investigated. The novel formula for the effective coefficient of thermal conductivity refining the classical Maxwell formula (MF) is derived. The methods of asymptotic homogenization, boundary shape perturbation and Schwarz alternating process are applied. It is shown that the principal term of the asymptotic expansion of the refined formula in powers of small size of inclusions coincides with the classical MF. The corrections to the MF are obtained for different values of geometrical and physical properties of the constituents of the composite material. The analytical and numerical analyses are carried out and illustrated graphically. In particular, the derived refined formula and the MF are compared for the limiting values of the geometric dimensions and physical properties of the composite. It is shown that the refined formula is applicable for the inclusions with any conductivity in the entire range of the geometric sizes of inclusions, including the limiting cases of inclusions with zero thermal conductivity and maximally large inclusions.","PeriodicalId":43242,"journal":{"name":"Journal of Multiscale Modelling","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S175697371950001X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44994788","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":"Modeling of Cementitious Representative Volume Element with Various Water–Cement Ratios","authors":"M. Shahzamanian, W. Basirun","doi":"10.1142/S1756973719500021","DOIUrl":"https://doi.org/10.1142/S1756973719500021","url":null,"abstract":"This study uses the finite element method (FEM) to measure the mechanical properties of microstructure-based cementitious representative volume elements (RVEs) with various water–cement ratios (W/Cs) generated by CEMHYD3D. The finite element boundary condition effects that significantly and computationally change the elastic properties are studied and discussed. Various boundary conditions in ABAQUS are applied and compared with the results obtained using the variational asymptotic method for unit cell homogenization (VAMUCH). This comparison is conducted using ANSYS. This study aims to analyze and determine the effect of different boundary conditions in detail on the prediction of the elastic properties of cementitious RVE with various W/Cs and identify the best approach in this regard. Results show that Young’s, shear, and bulk moduli decrease with the increase in W/C and the boundary conditions in ABAQUS influence the outcomes, particularly on bulk modulus and Poisson’s ratio.","PeriodicalId":43242,"journal":{"name":"Journal of Multiscale Modelling","volume":"1 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S1756973719500021","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41896943","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}