Continuum Mesomechanical Finite Element Modeling in Materials Development: A State-of-the-Art Review

Mishnaevsky, Leon; Schmauder, Siegfried

doi:10.1115/1.3097288

Cited by 88 publications

(32 citation statements)

References 72 publications

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“…Also most programs allow you to define new behaviour models according to user needs. All these developments greatly facilitate the practical applications of the models and their adjustment to reality (Nayak and Zienkiewicz, 1972;Weber and Ananda, 1990;Mahnken and Stein 1996;Mishnaevsky and Schmauder, 2001).…”

Section: Finite Element Methodsmentioning

confidence: 99%

Present and future of the numerical methods in buildings and infrastructures areas of biosystems engineering

Ayuga

2015

J Agricult Engineer

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Biosystem engineering is a discipline resulting from the evolution of the traditional agricultural engineering to include new engineering challenges related with biological systems, from the cell to the environment. Modern buildings and infrastructures are needed to satisfy crop and animal production demands. In this paper a review on the status of numerical methods applied to solve engineering problems in the field of buildings and infrastructures in biosystem engineering is presented. The history and basic background of the finite element method is presented. This is the first numerical method implemented and also the more developed one. The history and background of other two more recent methods, with practical applications, the computer fluids dynamics and the discrete element method are also presented. Besides, a review on the scientific and professional applications on the field of buildings and infrastructures for biosystem engineering needs is presented. Today we can simulate engineering problems with solids, engineering problems with fluids and engineering problems with particles and get to practical solutions faster and cheaper than in the past. The paper encourages young engineers and researchers to make progress these tools and their engineering applications. The capacities of all numerical methods in their present development status go beyond the present practical applications. There is a broad field to work on it. IntroductionThe present paper is a review of the numerical methods at present and their applications in solving engineering problems. The field is too wide to be considered in a single article. This is why the paper focuses on presenting the fundamentals of the most significant numerical methods that can be applied for buildings and infrastructures areas of biosystems engineering. The three next numerical methods will be considered: i) finite element method (FEM); ii) computer fluid dynamics (CFD); iii) discrete element method (DEM).In the paper the main features of these methods will be presented along with showing some examples in areas of biosystems engineering. Modern engineering can be considered to begin with the industrial revolution in the late eighteenth and early nineteenth century. From the very beginning, it has used the most powerful mathematical tools of the time in order to solve problems arising in practice. It was considered a fact that it was essential acquiring solid mathematical foundations for being a good engineer. The programs of studies from all Universities of the time prove it so. Even great figures on mathematics of the nineteenth and twentieth centuries were formally engineers. This symbiosis has produced good results for society. In the second half of XX Century, the fast development of computer science produced a great advance in numerical methods applied to physics and engineering.Based on this premise, the predictable future is that calculation and structural analysis in all fields of engineering will be based on modern numerical methods. This power...

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Section: Finite Element Methodsmentioning

confidence: 99%

Present and future of the numerical methods in buildings and infrastructures areas of biosystems engineering

Ayuga

2015

J Agricult Engineer

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“…The easiest approach of micromechanics, based on the rule-of-mixture, has been transferred to the nanocrystalline materials [19,20].…”

Section: Composite Models Of Nanocrystalline Metallic Materialsmentioning

confidence: 99%

Micromechanical modelling of nanocrystalline and ultrafine grained metals: A short overview

Mishnaevsky

Левашов

2015

Computational Materials Science

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Abstract:An overview of micromechanical models of strength and deformation behaviour of nanostructured and ultrafine grained metallic materials is presented. Composite models of nanomaterials, polycrystal plasticity based models, grain boundary sliding, the effect of nonequilibrium grain boundaries and nanoscale properties are discussed and compared. The examples of incorporation of peculiar nanocrystalline effects (like large content of amorphous or semi-amorphous grain boundary phase, partial dislocation GB emission/glide/GB absorption based deformation mechanism, diffusion deformation, etc.) into continuum mechanical approach are given. The possibilities of using micromechanical models to explore the ways of the improving the properties of nanocrystalline materials by modifying their structures (e.g., dispersion strengthening, creating non-equilibrium grain boundaries, varying the grain size distributions and gradients) are discussed.Keywords: Micromechanics; Finite element modelling; Nanomaterials; Nanocrystalline materials IntroductionDuring recent decades, growing interest of scientific community has been attracted to the nanostructured materials. The expectations on nanostructuring as a way to enhance material performances and to improve competing materials properties are very high, and some of them have been delivered, indeed.The extraordinary properties of nanocrystalline and ultrafine grained metallic materials (i.e., materials with the grain sizes of the order of several to several hundred nanometers) include superductility at room temperature, high hardness and high strength 2 to hardness value (which might be 2…7 times higher than in coarse grained materials), lower elastic modulus, negative Hall-Petch slope, enhanced strain rate sensitivity and difference between tensile and compression response [1][2][3][4][5]. The yield strength of nanocrystalline materials can be up to 5…10 times higher than of coarse-grained materials [6]. Other peculiar effect of nanocrystalline materials are the deviation fromHall-Petch relation at ultrafine and nanoscale grain sizes (below 100 nm), which goes into negative Hall Petch slope at about 10 nm, as well as asymmetry of tensile and compressive behaviour and enhanced diffusion properties [7].In order to predict the service properties of the materials and to explore the potential and reserves of their improvement, computational models linking the macroscale (service) In this paper, we present an overview of micromechanical models of nanocrystalline and ultrafine grained materials, their mechanical behaviour, deformation and strength.Composite models, crystal plasticity based models, grain boundary sliding, the effect of non-equilibrium grain boundaries, etc. are reviewed. The main constraints and challenges in the considered models are discussed. Composite models of nanocrystalline metallic materialsThe main structural feature of nanocrystalline and ultrafine grained materials, apart from the small grain sizes, is the high relative volume of grain boundary surface pha...

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“…[7,8] They yield good results for random pores and flat cracks. The other group includes methods based on the stress-strain state calculated for a model structure, for example, using finite-element approximation of a unit cell or a representative region of an actual material [9][10][11][12]. To construct the latter, photographs of typical sections are used.…”

Section: Introductionmentioning

confidence: 99%

Modeling the effective elastic properties of materials with parallel pore channels with Y-shaped cross-sections

Borovik

2010

Powder Metall Met Ceram

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The paper determines the effective elastic properties of a model material containing pore channels with cross-sections as Y-shaped cracks centered at the nodes of a regular hexagonal network and having arms aligned with the links of the network. A unit cell of relative size 1 × 3 consisting of two halves of adjacent cracks is considered. Effective Young's modulus and Poisson's ratio of the unit cell are determined for all combinations of relative arm lengths in 0.05 increments. The limits of variation in the effective elastic properties depending on the relative total projection of cracks onto the transverse deformation direction are established.

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Continuum Mesomechanical Finite Element Modeling in Materials Development: A State-of-the-Art Review

Cited by 88 publications

References 72 publications

Present and future of the numerical methods in buildings and infrastructures areas of biosystems engineering

Present and future of the numerical methods in buildings and infrastructures areas of biosystems engineering

Micromechanical modelling of nanocrystalline and ultrafine grained metals: A short overview

Modeling the effective elastic properties of materials with parallel pore channels with Y-shaped cross-sections

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