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Effect of foam glass granules fillers modification of lime-sand products on their microstructure

  • Iga Jasińska EMAIL logo
Published/Copyright: July 26, 2019
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Abstract

Silicate products are products made exclusively from natural raw materials. A relatively high value of the heat transfer coefficient is still considered a fault. This property adversely affects the thermal insulation of buildings and energy consumption, so you should look for materials with a low heat conduction coefficient. One of the ways of obtaining such products can be the use of light, porous fillers in the mass of lime-sand products.

Due to the above, particular attention was paid to white foam glass in the form of granules, which is a product of recycling glass cullet. The research was carried out with a granulate size of 0.25-0.5 mm, share of which in the tested samples ranged from 5 to 30%. The obtained results were referred to the tests carried out on basic (lime-sand) sample.

The aim of the article is to determine the correctness of the formation of selected usable properties of modified lime-sand products, taking into account changes in their microstructure. The article describes the results of volume density and compressive strength tests of basic samples and the samples modified by using the expanded glass granulate as well as the results of their observations by using of SEM and tests of phase composition obtained from XRD.

1 Introduction

Silicate products are products made only of natural raw materials, i.e sand, lime and water, thanks to which obtained products are characterized by very low natural radioactivity and the production technology itself states a mapping of the sandstone formation process in natural conditions [1, 2]. Among many advantages which characterize these products the compressive strength is of particular importance here. The disadvantage of silicate products is the high value of the thermal conductivity coefficient in relation to other building materials. In the aspect of conducted research, this problem is more important because the mandatory regulations rigorously tighten the requirements in the field of thermal insulation and energy consumption of buildings, so you should look for materials with low thermal conductivity both in the aspect of construction and insulation materials. One of the ways of obtaining such products can be the use of light, porous fillers in the mass of lime-sand products.

The a variety of selection of the optimal product available on the market to serve as a filler of materials often becomes a problem that should be solved using decision support methods [3, 4]. In this case, the choice of material that may be a light filler in lime-sand products from a wide range of available on the market raw materials and industrial waste has been made on the basis of multicriterial analysis of their essential characteristics. Thanks to the above, particular attention has been paid to white foam glass granulate being a waste product of recycled glass cullet, which use as a waste material used for production of construction products, can help at the same time to avoid the rising costs associated with environmental damage, as well as to promote the sustainable use of natural resources.

However, we should bear in mind that a reduction in the mass of the product is associated with a decrease in the mechanical strength of final products. This means, that the product obtained in this way will be characterized by properties that are close to properties of autoclaved aerated concrete, as well as for its production will be used only row materials of natural origin (sand and lime) and amorphorus silica (the foam glass granulate) - important due to the usage of glass waste in construction industry.

Research on the modifications subject and the reduction of compressive strength of lime-sand bricks is more and more often encountered [5, 6, 7]. The modification itself of lime-sand products with recycled glass in various forms [8, 9, 10, 11], as well as modification with waste materials [12, 13, 14, 15] is already known in literature and practice. The

foamed glass granulates were also tested as an addition to cement mortar [12], and how it contributs to the reduction of density and compressive strength of the product.

Many authors have already studied the change in the microstructure of modified sand-lime specimens [16, 17, 18]. Scientific research has not been described so far in terms of hydration reaction on the surface of unreacted quartz grains and foamed glass granulates in autoclaved lime-sand products. This is a very important aspect as during autoclaving, essential chemical reactions occur that determine the phase composition and microstructure of the final compounds in the silicate - calcium autoclaved materials [19, 20]. The OH ions after turning to the liquid phase react with the silicate ions derived from the dissolution of SiO2 [21]. The result of this reaction is a formation of hydrated calcium silicates, called C-S-H (Calcium Silicate Hydrate) with different ratios of CaO, SiO2 and H2O. They are characterized by a different degree of structure ordering - from amorphous (so-called "C-S-H phase") to crystalline (tobermorite, xonotlite) [22, 23].

It is commonly accepted, that the phase C-S-H has layered structure, close to structure of hydrated calcium silicate - tobermorite, and the gels produced by mixing of calcium and silica inwater are characterized by C/S ratios between 0,7 and 1,5 [24, 25].

Texture of C-S-H having low grade of ordering consists of izomeric forms stating homogenous sponge-like mass, and respectively to the growth of ordering may develop as lamellar forms (foils) as well as laminar, tubular or fibre forms. There is a lot of classifications of C-S-H phase [26, 27, 28, 29, 30, 31, 32], mainly due to the CaO/SiO2 ratio (C/S ratio), that changes in line with temperature and depends on the grade of saturation of liquid phase by calcium ions [22].

The most known classiffication is the one described by Taylor, who distinguished two types of the C-S-H phase: CS-H (I) having the ratio C/S < 1,5 – similar to tobermorite and C-S-H (II) with C/S > 1,5 similar to jennite [31, 33].

In the further research on the C-S-H structure, Diamond distinguished four morfological types of the phase: C-S-H I in the structure of fibre, C-S-H II in the structure of grid, called also honeycomb, that corresponds to the phase C-S-H (I) distinguished by Taylor, C-S-H III that creates izometric particles or braided and interlocked thin foils between themselves, C-S-H IV creating spherical agglomerates (concentrations), distinguished in the electron microscope research as closely packed gel [22, 34].

It should be taken into account that by introducing additives (fillers), new ions are often introduced into the sand-lime mixture, the quantity and quality of which have a significant impact on the formation of both crystalline and amorphous C-S-H phase as well as new phases not found in traditional products [18, 21] . Therefore, from the point of view of the conducted research, an important aspect is also the change in the microstructure of these products expressed in the degree of crystallization of the forming phases, as well as the range of formation of semi-crystals. In view of the above, the aim of this article is to determine the correctness of development of selected functional properties of modified lime-sand products, taking into account changes in their microstructure. The results of observations of microstructure with the usage of SEM that are presented in this article were confirmed by the tests of phase composition obtained from XRD.

2 Materials and method

Specimens in the form of 40 × 40 × 160 mm beams were prepared for testing. The mass of the specimen was a silicate mixture (lime-sand), which consists of sand - silica and hydrated lime. The molar ratio of the starting mass is CaO/SiO2 (C/S) = 0.09. The morphology of the sand grains used to make the specimens was presented by means of an image from the scanning electron microscope (Fig. 1). The characteristics of burned lime used in this study are presented in the Table 1.

Figure 1 Grain morphology (SEM picture x500)
Figure 1

Grain morphology (SEM picture x500)

Table 1

Characteristics of burned lime

CaO+MgOMgOCO2SO3
[%][%][%][%]
94.720.971.470.18

In order to make beams corresponding to the specimens, the lime-sand mixture was made with water in an amount of 6% by weight, in relation to the mass of the mixture. So the resulting mass was formed into small beams,

compressed with a force of to 20 MPa and subjected to 8-hour autoclavation at 203˚C.

For the modification of the basic specimens, the foam glass granulate size 0.25-0.5mm was used. The structure of the grain surface of the granulate as well as its cross-section is represented by the SEM image (Fig. 2). For the granulated product used, the EDS analysis presented in Table 2 was performed.

Figure 2 Expanded foam glass granulate - SEM pictures (x250) a) granulate surface, b) cross-section of the granulate
Figure 2

Expanded foam glass granulate - SEM pictures (x250) a) granulate surface, b) cross-section of the granulate

Table 2

EDS analysis (foam glass granulate)

spectrum nameThe content of individual elements, [%]Sum [%]
ONaMgAlSiKCa
a (surface)37.0710.241.482.0439.950.978.25100
b (pore surface)50.99.791.341.6531.260.544.52100

The specimens of lime-sand products modified by foam glass granulate were made of a mass composed of a lime-sand mixture in the amount of 95-70% and an appropriate amount of filler 5-30% with a measuring step every 5% by weight. The resulting modified mixture was prepared with water share of 6% by weight, in relation to the mass of the specimen, and then subjected to forming and autoclaving in the same way as to obtain traditional specimen.

Physical properties, i.e. compressive strength and volume density were determined in accordance with the methods described in standards. Before the research commencement the prepared samples had been cured during 28 days in the temperature of 18˚C and relative humidity of ~60%, to obtain the air-dry state.

The volume density tests were conducted in accordance with the standard PN-EN 772-13:2001 [38]. To perform the tests beams were used which had been prepared in a way described above, dimentions of the beams (length, height and width) enabled to determine the volume of samples. Then the beams were dried in circulation drier at the temperature of 105oC until the constant mass and afterwards they were weighted. The obtained results enabled for calculating of volume density value for each of item subjected to the test, according to the following equation:

ρu=mdryVg[kg/m3]

where: ρu – volume density, [kg/m3]; mdry –mass of dried sample, [kg]; Vg – volume of sample, [m3].

The test of volume density in each case was conducted at 5-times repetition of the measurement. As a result the arithmetic average value of calculated results was taken.

The compression strength check was conducted according to the guidance determined in the applicable standard [39], at the usage of Tecnotest KC 300 press. Samples of the face surface of 40×160 mm were placed on the testing machine plate coaxially with the center of the route of testing plate having dimensions of 62.5×40.0 mm, and then were compressed in a steady way until the sample damage. The result of individual test states the quotient of maximal registered load that was obtained and the area of loaded surface. As a final result of the check the arithmetic average value of 6 obtained measurements was taken.

A scanning electron microscope with an EDS analyzer was used to observe the microstructure. The measurements were conducted on not coated by spraying samples under the conditions of low vacuum (water vapor pressure corresponded to 30 Pa). The test was conducted on the fractures (pieces) of traditional and modified silicate samples.

The phase content of obtained samples was determined at the usage of X-ray diffractometer (XRD) of PAN-alytical company, model name: Empyrean. The quantity share of particular phases was determined according to Rietveld method. The measurements were conducted with the usage of monochromatic radiation of wave length corresponding to copper emission line Kα1 (CuKα = 1.54178Å), with angles range 5-50˚ at a scale of 2θ. The results were developed on the basis of ICDD database (The International Centre for Diffraction Data). The test was executed on traditional samples and on 2 samples containing foam glass granulate in the amount of 5 and 20%.

The obtained and presented results of tests performed on basic specimens are a reference to the results of tests obtained on modified specimens.

3 Results and discussion

The results of the conducted volume density tests of the basic lime-sand specimens as well as specimens modified with foamed glass granulate of a fraction of 0.25-0.5 mm are presented on the graph (Figure 3), which shows the shape and form of the curve describing the relationship between the volume density and the use of foam glass granulate of the fraction of 0.25-0.5mm in the mass of the specimen.

Figure 3 Influence of the content of foamed glass granules of the fraction of 0.25-0.5 mm in the mass of sample on the volume density of final product
Figure 3

Influence of the content of foamed glass granules of the fraction of 0.25-0.5 mm in the mass of sample on the volume density of final product

For the obtained test results, the shape and form of the curve describing the relationship between compressive strength and the share of foamed glass granulate of the fraction of 0.25-0.5 mm in the mass of the specimen were also determined (Figure 4).

Figure 4 Influence of the content of foamed glass granules of the fraction of 0.25-0.5 mm in the mass of sample on the compressive strength of final product
Figure 4

Influence of the content of foamed glass granules of the fraction of 0.25-0.5 mm in the mass of sample on the compressive strength of final product

The microanalysis performed in points 1 and 2 (Figure 5) indicated the presence of products of C / S molar ratio equal to 1.28 (point 1) and 1.59 (point 2), which are the characteristics for phases CSH (I) and CSH (II) according to the Taylor classification [31]. In none of the analyzed specimens the presence of calcium hydroxide was found, which was used out in the process of products forming. It can therefore be assumed that it was completely reacted during autoclaving [40].

Figure 5 Microstructure of a traditional sand-lime product - structures formed on the sand grain surface with X-ray microanalysis in points 1 and 2
Figure 5

Microstructure of a traditional sand-lime product - structures formed on the sand grain surface with X-ray microanalysis in points 1 and 2

In specimens modified by foam glass granulate, large amounts of output component is present observed as less hydrated products - phases of C-S-H system, in relation to specimens with basic composition. The surface of the sand grain is covered with the C-S-H phase having the structure of crystals in the form of elongated metal strip (Figure 6).

Figure 6 Microstructure of a limestone-sand product modified by foam glass granulate together with the spectrum of EDS - sand grain surface.
Figure 6

Microstructure of a limestone-sand product modified by foam glass granulate together with the spectrum of EDS - sand grain surface.

The similar microstructure and type, however smaller in size, were observed on the outer walls of the foam glass granulate (Figure 7). This phase is basicly of a C-S-H output phase with disordered and less developed compact structure. The observations carried out show that this phase is dominant in specimens modified by foam glass granulate and its level of formation decreases with the participation of granulate.

Figure 7 Microstructure of a limestone-sand product modified by foam glass granulated of the size 0.25-0.5 mm (10% filler) with the spectrum of EDS
Figure 7

Microstructure of a limestone-sand product modified by foam glass granulated of the size 0.25-0.5 mm (10% filler) with the spectrum of EDS

On the inner walls of the foam glass granulate, and thus on the pore walls, a three-dimensional ‘honeycomb’ structure was composed of a poorly developed C-S-H phase. It is noticed that in small pores close to the outer surface of the granulate, this structure forms a layer growing towards the central part of the pore, while in the pores of the large ones in the central part of the granulate, the CSH phase " creates irregular spherical clusters in the form of a "honeycomb (Figure 8), corresponding to the phase CS-H II according to the Diamond classification [34].

Figure 8 Microstructure of a limestone-sand product modified by granulated foam glass with a size of 0.25-0.5 mm (10% filler) along with the spectrum of EDS - structures formed in the interior of the granule pores
Figure 8

Microstructure of a limestone-sand product modified by granulated foam glass with a size of 0.25-0.5 mm (10% filler) along with the spectrum of EDS - structures formed in the interior of the granule pores

During the observation, it was also noticed that with the increasing content of the used granulate, the contribution of the tobermorite phase in the analyzed specimens decreased.

Presented above observations as well as the EDS spectrum indicates, that together with the growth of silica in the output mixture and at the same time together with the decreasing C/S ratio – the C/S ratio in the products of CS-H phase also decreases, what is analogical to the findings of other authors [35, 36, 37]. The confirmation of the upper observations state the results of the X-ray phase analyses (XRD) performed on powdered samples as well as the quantitative analyses obtained according to Rietveld method (table 3). The research indicates, that in the content of traditional sand-lime products occur typical for these products crystal structures, i.e. quartz (SiO2), calcite (CaCO3) as well as hydrated calcium silicates in a form of tobermorite 11Å (Ca5Si6O16(OH)2· 4H2O).

Table 3

Quantity evaluation of particular phases occuring in the tested samples of products modified by foam glass granulate of fraction 0.25-0.5 mm, by Rietveld method.

ItemSamplePhase NameChemical FormulaWeight share [%]
1Traditional sand-lime (WP)QuartzSiO279.9
CalciteCaCO312.6
Tobermorite 11Å(Ca5Si6O16(OH)2·4H2O)7.5
2modif. 5% of granulate (1P5)QuartzSiO287.0
QuartzCaCO313.0
3modif. 20% of granulate (1P20)QuartzSiO292.6
QuartzCaCO37.4

The quartz which occurs in the largest quantitative share (79,9%) is here an output product in the mass of tested sample, i.e. it is a sand which is incompletely reacted. It can be caused by too low C / S ratio in the mass of the sample [37]. The calcite occuring in the amount of 12,6% is from the chemical point of view a calcium carbonate stating a product of carbonation processes occurring in hydrothermal conditions. The CO32− ions content may be related with also undissociated calcium carbonate contained usually in small quantities in a burnt lime [21].

Tobermorite 11Å, occuring in the amount of 7,5% is a characteristic crystal form of hydrated calcium silicate, its presence influences on the improvement of strength properties of the product [22, 31].

On the basis of conducted X-ray analyses (Figure 9) it outcomes that in the content of products modified by addition of foam glass granulate, the main cristal products states quartz (SiO2) and calcite (CaCO3). In the analysed samples the highest intensity had reflections generated by quartz that were the most highlighted as peaks at angles of ~20.9˚ and ~26.6˚ (2θ). Relatively big intensity indicated also the peaks that are characteristic for calcite, focused at ~39.4˚ (2θ).

Figure 9 X-ray difractometer diagram of product modified by foam glass granulate of fraction from 0.25 to 0.5 mm in the scope of 5-90˚ (2θ), WP – traditional product (1P5, 1P20 – products with the share of filler respectively 5 and 20% in the product mass, Q-quartz, C-kalcite, T-tobermorite)
Figure 9

X-ray difractometer diagram of product modified by foam glass granulate of fraction from 0.25 to 0.5 mm in the scope of 5-90˚ (2θ), WP – traditional product (1P5, 1P20 – products with the share of filler respectively 5 and 20% in the product mass, Q-quartz, C-kalcite, T-tobermorite)

In any of analysed samples of modified products no distinctive reflections from phase C-S-H were found. The analyze conducted by Rietveld method indicates (Table 3), that together with the growth of granulate content in the analysed samples the amount of calcite decreases in each of the analysed systems. The analyse did not indicate the presence of tobermorite phase, the existance of which was stated in the referential samples (WP). The confirmation of disappearance of reflections coming from the phase is the enlarged fragment of difractometer diagram from the angles range of and 28-31˚ (2θ) (Figure 10).

Figure 10 X-ray difractometer diagram of product modified by foam glass granulate of fraction from 0.25 to 0.5 mm in the scope of 28-31˚ (2θ), WP – traditional product, 1P5, 1P20 – products with the share of filler respectively 5 and 20% in the product mass, T– tobermorite, C-calcite
Figure 10

X-ray difractometer diagram of product modified by foam glass granulate of fraction from 0.25 to 0.5 mm in the scope of 28-31˚ (2θ), WP – traditional product, 1P5, 1P20 – products with the share of filler respectively 5 and 20% in the product mass, T– tobermorite, C-calcite

Analysing the obtained results of the tests, it comes to mind, that decreasing share of tobermorite in the modified samples is related to the increasing proportion of granulate, which is the source of amorphous silica – i.e. glass. On this basis, it can be concluded that the used silicate additives of glass do not produce a sufficient number of reinforcements in the contact zones during the autoclaving process,what makes it impossible to increase the compressive strength of the final products.

4 Conclusion

  1. The addition of foam glass granulate in the mass of lime-sand specimens reduces the volume density of the sand-lime products made on the basis of a traditional lime-sand mixture under traditional autoclaving conditions.

  2. The modification of lime-sand products by the application of granulate affects the morphology of the autoclaved specimens obtained.

  3. The use of foam glass granulate in the mass of sand-lime specimens causes a weaker formation of microstructure of the C-S-H phases on the surfaces of sand grains and the introduced granulate. The arrangement of the microstructure decreases with the increase of the granulate amount in the mass of the sand-lime specimen.

  4. A weaker formation of the specimens microstructure, apart from the reduction of the volume density, has also an effect in reduction of the compressive strength of autoclaved products.

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Received: 2019-02-12
Accepted: 2019-05-13
Published Online: 2019-07-26

© 2019 Iga Jasińska, published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

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  12. Seasonal evaluation of surface water quality at the Tamanduá stream watershed (Aparecida de Goiânia, Goiás, Brazil) using the Water Quality Index
  13. EFQM model implementation in a Portuguese Higher Education Institution
  14. Assessment of direct and indirect effects of building developments on the environment
  15. Accelerated Aging of WPCs Based on Polypropylene and Plywood Production Residues
  16. Analysis of the Cost of a Building’s Life Cycle in a Probabilistic Approach
  17. Implementation of Web Services for Data Integration to Improve Performance in The Processing Loan Approval
  18. Rehabilitation of buildings as an alternative to sustainability in Brazilian constructions
  19. Synthesis Conditions for LPV Controller with Input Covariance Constraints
  20. Procurement management in construction: study of Czech municipalities
  21. Contractor’s bid pricing strategy: a model with correlation among competitors’ prices
  22. Control of construction projects using the Earned Value Method - case study
  23. Model supporting decisions on renovation and modernization of public utility buildings
  24. Cements with calcareous fly ash as component of low clinker eco-self compacting concrete
  25. Failure Analysis of Super Hard End Mill HSS-Co
  26. Simulation model for resource-constrained construction project
  27. Getting efficient choices in buildings by using Genetic Algorithms: Assessment & validation
  28. Analysis of renewable energy use in single-family housing
  29. Modeling of the harmonization method for executing a multi-unit construction project
  30. Effect of foam glass granules fillers modification of lime-sand products on their microstructure
  31. Volume Optimization of Solid Waste Landfill Using Voronoi Diagram Geometry
  32. Analysis of occupational accidents in the construction industry with regards to selected time parameters
  33. Bill of quantities and quantity survey of construction works of renovated buildings - case study
  34. Cooperation of the PTFE sealing ring with the steel ball of the valve subjected to durability test
  35. Analytical model assessing the effect of increased traffic flow intensities on the road administration, maintenance and lifetime
  36. Quartz bentonite sandmix in sand-lime products
  37. The Issue of a Transport Mode Choice from the Perspective of Enterprise Logistics
  38. Analysis of workplace injuries in Slovakian state forestry enterprises
  39. Research into Customer Preferences of Potential Buyers of Simple Wood-based Houses for the Purpose of Using the Target Costing
  40. Proposal of the Inventory Management Automatic Identification System in the Manufacturing Enterprise Applying the Multi-criteria Analysis Methods
  41. Hyperboloid offset surface in the architecture and construction industry
  42. Analysis of the preparatory phase of a construction investment in the area covered by revitalization
  43. The selection of sealing technologies of the subsoil and hydrotechnical structures and quality assurance
  44. Impact of high temperature drying process on beech wood containing tension wood
  45. Prediction of Strength of Remixed Concrete by Application of Orthogonal Decomposition, Neural Analysis and Regression Analysis
  46. Modelling a production process using a Sankey diagram and Computerized Relative Allocation of Facilities Technique (CRAFT)
  47. The feasibility of using a low-cost depth camera for 3D scanning in mass customization
  48. Urban Water Infrastructure Asset Management Plan: Case Study
  49. Evaluation the effect of lime on the plastic and hardened properties of cement mortar and quantified using Vipulanandan model
  50. Uplift and Settlement Prediction Model of Marine Clay Soil e Integrated with Polyurethane Foam
  51. IoT Applications in Wind Energy Conversion Systems
  52. A new method for graph stream summarization based on both the structure and concepts
  53. “Zhores” — Petaflops supercomputer for data-driven modeling, machine learning and artificial intelligence installed in Skolkovo Institute of Science and Technology
  54. Economic Disposal Quantity of Leftovers kept in storage: a Monte Carlo simulation method
  55. Computer technology of the thermal stress state and fatigue life analysis of turbine engine exhaust support frames
  56. Statistical model used to assessment the sulphate resistance of mortars with fly ashes
  57. Application of organization goal-oriented requirement engineering (OGORE) methods in erp-based company business processes
  58. Influence of Sand Size on Mechanical Properties of Fiber Reinforced Polymer Concrete
  59. Architecture For Automation System Metrics Collection, Visualization and Data Engineering – HAMK Sheet Metal Center Building Automation Case Study
  60. Optimization of shape memory alloy braces for concentrically braced steel braced frames
  61. Topical Issue Modern Manufacturing Technologies
  62. Feasibility Study of Microneedle Fabrication from a thin Nitinol Wire Using a CW Single-Mode Fiber Laser
  63. Topical Issue: Progress in area of the flow machines and devices
  64. Analysis of the influence of a stator type modification on the performance of a pump with a hole impeller
  65. Investigations of drilled and multi-piped impellers cavitation performance
  66. The novel solution of ball valve with replaceable orifice. Numerical and field tests
  67. The flow deteriorations in course of the partial load operation of the middle specific speed Francis turbine
  68. Numerical analysis of temperature distribution in a brush seal with thermo-regulating bimetal elements
  69. A new solution of the semi-metallic gasket increasing tightness level
  70. Design and analysis of the flange-bolted joint with respect to required tightness and strength
  71. Special Issue: Actual trends in logistics and industrial engineering
  72. Intelligent programming of robotic flange production by means of CAM programming
  73. Static testing evaluation of pipe conveyor belt for different tensioning forces
  74. Design of clamping structure for material flow monitor of pipe conveyors
  75. Risk Minimisation in Integrated Supply Chains
  76. Use of simulation model for measurement of MilkRun system performance
  77. A simulation model for the need for intra-plant transport operation planning by AGV
  78. Operative production planning utilising quantitative forecasting and Monte Carlo simulations
  79. Monitoring bulk material pressure on bottom of storage using DEM
  80. Calibration of Transducers and of a Coil Compression Spring Constant on the Testing Equipment Simulating the Process of a Pallet Positioning in a Rack Cell
  81. Design of evaluation tool used to improve the production process
  82. Planning of Optimal Capacity for the Middle-Sized Storage Using a Mathematical Model
  83. Experimental assessment of the static stiffness of machine parts and structures by changing the magnitude of the hysteresis as a function of loading
  84. The evaluation of the production of the shaped part using the workshop programming method on the two-spindle multi-axis CTX alpha 500 lathe
  85. Numerical Modeling of p-v-T Rheological Equation Coefficients for Polypropylene with Variable Chalk Content
  86. Current options in the life cycle assessment of additive manufacturing products
  87. Ideal mathematical model of shock compression and shock expansion
  88. Use of simulation by modelling of conveyor belt contact forces
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