The simple model of cell prestress maintained by cell incompressibility

Vychytil, Jan; Holeček, Miroslav

doi:10.1016/j.matcom.2009.02.005

Cited by 15 publications

(8 citation statements)

References 9 publications

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“…The influence of four factors (cutting speed, cutting depth, rake angle, and angle of cutting edge inclination) on chip formation (shear angle) in a slow rate machining process was investigated in this study. In this case, the most powerful tool of the planned experiment appeared to be how the basic principle was a measurement of each factor's influence on three levels [36,39,40].…”

Section: Methodsmentioning

confidence: 99%

Research on Chip Shear Angle and Built-Up Edge of Slow-Rate Machining EN C45 and EN 16MnCr5 Steels

Monková

Monka

Sekerakova

et al. 2019

Metals

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One of the phenomena that accompanies metal cutting is extensive plastic deformation and fracture. The excess material is plastically deformed, fractured, and removed from the workpiece in the form of chips, the formation of which depends on the type of crack and their propagation. Even in case of the so-called 'continuous' chip formation there still has to be a fracture, as the cutting process involves the separation of a chip from the workpiece. Controlling the chip separation and its patterning in a suitable form is the most important problem of the current industrial processes, which should be highly automated to achieve maximal production efficiency. The article deals with the chip root evaluation of two EN C45 and EN 16MnCr5 steels, focusing on the shear angle measuring and built-up edge observation as important factors influencing the machining process, because a repeated formation and dislodgement of built-up edge unfavorably affects changes in the rake angle, causing fluctuation in cutting forces, and thus inducing vibration, which is harmful to the cutting tool. Consequently, this leads to surface finish deterioration. The planing was selected as a slow-rate machining operation, within which orthogonal and oblique cutting has been used for the comparative chips' root study. The planned experiment was implemented at three levels (lower, basic, and upper) for the test preparation and the statistical method, and regression function was used for the data evaluation. The mutual connections among the four considered factors (cutting speed, cutting depth, tool cutting edge inclination, and rake angle) and investigated by the shear angle were plotted in the form of graphical dependencies. Finally, chips obtained from both steels types and within both cutting methods were systematically processed from the microscopic (chip root) and macroscopic (chip pattern) points of view.Metals 2019, 9, 956 2 of 27 of a machined surface are in many cases not achievable by mechanical working or casting processes, because the surfaces of the parts are adversely affected. This is why machining is needed.[3] Controlling the chip separation and its patterning in a suitable form is the most important problem of the current industrial processes, which should be highly automated to achieve maximal production efficiency.One of the phenomena that accompanies metal cutting is extensive plastic deformation and fracture. The excess material is plastically deformed, fractured, and removed from the workpiece in the form of chips, the formation of which depends on the type of crack and their propagation. Even in the case of so-called 'continuous' chip formation there still has to be a fracture, as the cutting process involves the separation of a chip from the workpiece. Chips at the machining are formed due to tearing and shearing, the workpiece material adjacent to the tool face is compressed and a crack runs ahead of the cutting tool and towards the body of the workpiece. Cutting takes place intermittently and there is no movement of the w...

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Section: Methodsmentioning

confidence: 99%

Research on Chip Shear Angle and Built-Up Edge of Slow-Rate Machining EN C45 and EN 16MnCr5 Steels

Monková

Monka

Sekerakova

et al. 2019

Metals

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“…That is, we adopt the idea of non-affine deformations. Initially orthogonal dimensions of the RVE are changing during deformation according to (33). For applications in soft tissues, constant volume of the RVE resulting in incompressible constitutive model is appropriate.…”

Section: Strain Energy Function Of the Macroscopic Bodymentioning

confidence: 99%

“…In the limit case k i → 0 the inner volume has no elasticity and is in fact only a constraint (constant volume) for the springs of extracellular matrix. As the macroscopic body is deformed, considering macroscopic incompressibility, the shape and size of the RVE complies with the macroscopic deformation according to relations (33). The inner volume, on the other hand, takes the shape and size to minimize overall energy according to (38).…”

Section: Non-affine Deformationsmentioning

confidence: 99%

Development of a constitutive model of soft tissues for FE analyses using a bottom-up approach

Vychytil¹,

Holeček²

2018

ACM

Self Cite

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This paper presents the development of a two-scale anisotropic hyperelastic material model whose microstructure is motivated by the arrangement of soft tissues. In a bottom-up approach, we start at the microscale, identifying the components that are relevant for our model. These components are represented by simplified mechanical elements, such as linear springs and incompressible volumes. The next step is to use the concept of the representative volume element connecting the micro-and macroscales. Introducing principal material directions, the notion of invariants and pseudo-invariants is employed to derive a formula for the strain energy function. In fact, two hyperelastic models are proposed. In the simplified one, the microstructure is formed of a network of linear springs. In the second one, an incompressible volume is added to the representation of the microstructure. This results in the model's having a nonlinear response, with the strain energy function arising as a solution to a minimization problem. The properties of the strain energy function and the influence of anisotropy are demonstrated on a simple tension test and a simple shear test. Applications of the proposed model to the description of prestressed materials, non-affine deformations, and real tissue modelling are presented.

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“…All the information represents the know-how of the plant, so it is very important to process data within reliable information system. That is why the system has to ensure [2,3] -production effectivity and quality increasing, -to be its structure dynamically adaptable for actual situation and for user specific conditions with minimum negative effects, -selection in which way will be a process plan created, whether approach of group technology will be used or Katarina Monkova et al…”

Section: Introductionmentioning

confidence: 99%

Data network related to an object manufacturing inside of exerted Intelligent System

Monková¹,

Monka²,

Ungureanu³

et al. 2019

EAI Endorsed Transactions on Industrial Networks and Intelligen

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Most of today's information systems are not fully integrated. Companies, suppliers, and customers are rarely closely linked. Functions within a chain from the enterprise to the shop floor level are not fully integrated. Even in the engineering itself lacks complete integration -from products to plants to automation. With Industry 4.0, companies, departments, functions, and capabilities will become much more cohesive, as cross-company, universal data-integration networks evolve and enable truly automated value chains. The article deals with specification of data flow related to an object manufacturing inside of information system for Industry 4.0. There are described basic characteristics of both data flow in this paper. An older one, which was used in the past, but it can be found also in current practice, as well as new approach to data flow using STEP NC (a machine tool control language). A reliable information system is one of the necessities to be the data flow in a company continuous. Due to this reason, authors designed software application based on concept Industry 4.0 that should help to improve productivity and labour efficiency in the company. Basic principles of object coding system that are included inside newly developed information system, are elaborated in the next part of the article.

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The simple model of cell prestress maintained by cell incompressibility

Cited by 15 publications

References 9 publications

Research on Chip Shear Angle and Built-Up Edge of Slow-Rate Machining EN C45 and EN 16MnCr5 Steels

Research on Chip Shear Angle and Built-Up Edge of Slow-Rate Machining EN C45 and EN 16MnCr5 Steels

Development of a constitutive model of soft tissues for FE analyses using a bottom-up approach

Data network related to an object manufacturing inside of exerted Intelligent System

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