Form Of Power Function Research Articles

A Theoretical and Experimental Study of Stress–Strain, Creep and Failure Mechanisms of Intact Coal

Deep mining and drilling activities typically trigger significant deformation of coal/rock roadway and even coal/rock dynamic hazards, which has attracted considerable attention. Hence, in this article, the mechanics and failure properties of intact coal are examined through triaxial compression tests and creep tests. First of all, triaxial compression experiments demonstrated that the complete stress–strain curves of intact coal are characterised by Class-I behaviour; and the post-peak modulus is negative. Second, with increasing confining pressure, peak strength and residual strength rise linearly, whereas elasticity modulus and peak strain increase as a power function form. Thirdly, compared with conventional triaxial load, tiered cyclic load can stiffen the strength of intact coal. Moreover, the data of creep tests are successfully fitted to the Burgers model. Maxwell elasticity modulus is significantly smaller than other creep parameters; Maxwell viscosity coefficient shows a positive correlation with deviatoric stress. Contrarily, Kelvin elasticity modulus and Kelvin viscosity coefficient drop with the rise in deviatoric stress. Additionally, with increasing deviatoric stress, single-step creep strain and average creep strain rate, proposed in this study, increase in a power function form. Finally, failure characteristics of intact coal under triaxial stress could be classified into four types (mainly shear failure and multiple shear fractures). The failure-plane angle generally linearly increases with the rise in confining pressure applied.

Exponentially complex nonseparable states in planar arrays of nonlinearly coupled one-dimensional elastic waveguides

Externally driven parallel arrays of elastic waveguides inelastically coupled along their length are shown to support inelastic modes that span exponentially complex Hilbert spaces. The nonlinear coupling takes the form of power functions of the relative displacement between waveguides. First order perturbation theory is employed to obtained closed form solutions for the contribution of nonlinearity to the displacement field in the form of nonseparable superpositions of product states of plane waves. When the system is dissipative, the coefficients of the superposition of product states are complex and can be varied by controlling the characteristics of the way the array is driven externally. The entropy of ‘entanglement’ of these nonseparable superpositions of product states is calculated from the complex amplitudes through the density matrix. Navigation of the exponentially complex Hilbert space of product states enables manipulation of the degree of nonseparability of the superpositions.

A new anisotropic thermal conductivity equation for h-BN/polymer composites using finite element analysis

A new anisotropic thermal conductivity equation of h-BN/polymer composites was successfully derived from a series of numerical calculation and mathematical analysis. A simple finite element model of polymer composite filled with oriented hexagonal boron nitride (h-BN) was firstly established to simulate its thermal transportation. This numerical model was validated by other thermal conductive models and experimental data. Then the influence of many factors on the anisotropic thermal conductivity of h-BN/polymer composites was mathematically investigated, including matrix thermal conductivity, h-BN thermal conductivity, size, aspect ratio and oriented angles, interfacial thermal resistance, and non-uniform factors. It is found that thermal conductivity of polymer composites increases with filler content as a power function; decreases with interfacial thermal resistance in a negative power function form; increases almost proportionally with thermal conductivity of polymer matrix; does not change with h-BN thermal conductivity when the in-plane thermal conductivity of h-BN is higher than 100 W·m−1·K−1 and out-of-plane thermal conductivity of h-BN is higher than 2 W·m−1·K−1; and does not change with h-BN size under the same aspect ratio. With the increasing h-BN aspect ratio, in-plane thermal conductivity of composites increases, while out-of-plane thermal conductivity decreases. The change ranges of position and tilt angle correction factors were also obtained.

Sustainable manufacturing: re-contouring of laser cladding restored parts by machining method with cutting energy management

Laser cladding has been commonly utilized for restoring high value-added parts. However, the poor surface quality becomes key technological barrier which restricts its widespread applications. In the paper, re-contouring strategies by machining method are explored for minimal energy consumption as well as required surface roughness. Firstly, the effect of structural characteristics of the laser-cladded workpiece on specific cutting energy was explored by means of layer-by-layer turning and orthogonal cutting. Results indicated that the specific cutting energy increased, and the machining chatter/vibration exacerbated with decreasing coating thickness under fixed cutting parameters. The reason can be summarized as a result of the effect of elastoplastic deformation behavior across the interface. Then, the influences of depth of cut and feed on specific cutting energy in finish turning were addressed. Results indicated that the specific cutting energy reduced with increasing depth of cut and feed in the form of power functions. In addition, energy efficiency decreased with an increase in uncut chip thickness and cutting speed. On basis of this work, large feed and low cutting speed with the adoption of wiper inserts were recommended for minimizing energy consumption within surface roughness requirement.

Aboveground Biomass Allometric Models for Evergreen Broad-Leaved Forest Damaged by a Serious Ice Storm in Southern China

A catastrophic ice storm occurred in the spring of 2008, which severely destroyed nearly 13% of China’s forests; among them, the broad-leaved forest suffered the most extensive damage. In this study, allometric models of the evergreen broad-leaved forests damaged at different recovery stages after the disaster were established to estimate the aboveground biomass of damaged trees. Plant plots were established and surveyed in damaged forests to determine species composition and diameter distribution, and finally a sample scheme was formulated that contained 47 trees from 13 species. The destructive measurements of aboveground biomass of trees selected according to the scheme were conducted in 2008, 2010, 2012 and 2016, respectively. Undamaged trees in the same region were also selected to measure the biomass in 2010. Linear regression of logarithmic transformation of the power function form was performed using Diameter at Breast Height (DBH) as predictor to develop biomass allometric models. The results showed that the ice storm caused tree aboveground biomass loss, which caused different parameters of the tree biomass models at different recovery stages. The models have a high accuracy in predicting trunk and total aboveground biomass, with high determination coefficients (R2, 0.913~0.984, mean 0.957), and have a relatively low accuracy in predicting the biomass of branches and leaves (R2, 0.703~0.892, mean 0.784). The aboveground biomass reduced by 35.0% on average due to the ice storm, and recovered to the same level of undamaged trees in the same diameter 8 years after the disturbance. The branches and leaves recovered very fast, and the biomass of these parts exceeded that of the undamaged trees, reaching the same diameter 2 years after the disaster, indicating an over compensatory growth. The trees with a smaller diameter were mostly composed of middle and late succession species, and recovered faster than other species, indicating that the ice storm may alter the forest structure and accelerate community succession. The biomass allometric models built in this study, combined with forest inventory data, can estimate forest biomass loss and recovery after disturbance, and offer an important sense of the assessment of forest damage and the formulation of forest post-disaster management strategies.

Characterization of ozone production from multi-cylinder reactor in non-thermal plasma device using multivariable power least squares method

Other than usage for environmental remediation, ozone is also increasingly studied for its potential in combustion enhancement. In this study, the characterization of the ozone production at varied voltage, duty cycle and cylinder configuration for reactor was conducted using multivariable power least squares method (MPLSM). This alternative correlation method in the form of power function was applied in this study to determine the dominant factor affecting the ozone production using the multi-cylinder reactor. The regressed equation using MPLSM method indicated voltage as the dominant factor in the production of ozone compared to the effect of duty cycle. The correlations generated from MPLSM for both reactor configurations were able to predict most of the ozone concentration results within 25% deviation from the actual experimental data. As such, MPLSM could be considered as an alternative method to be used for correlations of non-polynomial results.

Using a Data Driven Approach to Predict Waves Generated by Gravity Driven Mass Flows

When colossal gravity-driven mass flows enter a body of water, they may generate waves which can have destructive consequences on coastal areas. A number of empirical equations in the form of power functions of several dimensionless groups have been developed to predict wave characteristics. However, in some complex cases (for instance, when the mass striking the water is made up of varied slide materials), fitting an empirical equation with a fixed form to the experimental data may be problematic. In contrast to previous empirical equations that specified the mathematical operators in advance, we developed a purely data-driven approach which relies on datasets and does not need any assumptions about functional form or physical constraints. Experiments were carried out using Carbopol Ultrez 10 (a viscoplastic polymeric gel) and polymer–water balls. We selected an artificial neural network model as an example of a data-driven approach to predicting wave characteristics. We first validated the model by comparing it with best-fit empirical equations. Then, we applied the proposed model to two scenarios which run into difficulty when modeled using those empirical equations: (i) predicting wave features from subaerial landslide parameters at their initial stage (with the mass beginning to move down the slope) rather than from the parameters at impact; and (ii) predicting waves generated by different slide materials, specifically, viscoplastic slides, granular slides, and viscoplastic–granular mixtures. The method proposed here can easily be updated when new parameters or constraints are introduced into the model.

Damage and failure in carbon fiber-reinforced epoxy filament-wound shape memory polymer composite tubes under compression loading

In this paper, axial and radial compression tests of carbon fiber/epoxy filament wound shape memory polymer (SMP) composite tubes were carried out to investigate the corresponding mechanical response. Carbon fibers impregnated with epoxy resin matrix were wound with ±45° layers. The effects of temperature, compression times, defect hole area, shape, and distribution on the mechanical properties of composite tubes were studied and analyzed, respectively. Meanwhile, the mechanical model of stress distribution about the defect hole, under axial compression loading, was established via using the method of complex function. Furthermore, the failure factors of specimens were analyzed. As a result, the defect with sharp angle would result in lower buckling load and Young's modulus. In addition, the failure area, where the delamination of materials, was predominantly located in the middle of specimen. The more times of compression to failure would result in the lower buckling load and Young's modulus of specimens, and the relationship was mainly in form of a specific power function. According to Hashin failure criteria, the effect of axial compression times on buckling load and equivalent modulus was investigated.

Development of failure criterion and fatigue model to characterize the fatigue resistance of asphalt binders under controlled-stress time sweep tests

The fatigue resistance of asphalt binders is of great significance to the design and maintenance of asphalt pavements. This study aims to develop a fatigue model that is independent of material types for asphalt binders subjected to controlled-stress time sweep tests. The ratio of dissipated energy change (RDEC) method and the normalized stiffness ratio (NSR) method are first evaluated with regard to this objective. It is demonstrated that both methods fail to provide a fatigue model that is independent of material types. A new failure criterion is then developed through analysis of the three phases of the dynamic shear modulus versus load cycles graph. The fatigue life is defined as the load cycle corresponding to the second inflection point on such a graph. In accordance with the plateau value concept utilized in the RDEC method, a new fatigue-related parameter is defined as the RDEC value at the fatigue life determined by the NSR method. Combine the fatigue life with the new fatigue-related parameter in the form of power function yields a new fatigue model, which is then fitted to the data points of all tested asphalt binders. It is found that all of the data points are located at or close to the best-fit line with an R2 value of 0.978. Therefore, this new fatigue model has the potential of being material type independent.

Effect of crosslink density on solubility parameters of styrene butadiene rubber and the application in pre-screening of new potential additives

Equilibrium swelling measurement and software program were employed to investigate the effect of crosslink density on the swelling responses and three-dimensional solubility parameters (HSP) of the cured SBR samples. The swelling responses change evidently with increased crosslink densities which, however, have no influence on the HSP values of SBR. In order to study the application of HSP in predicting interactions between rubbers and additives, a set of new Flory-Huggins interaction parameters (χHSP) was calculated by HSP values, and was further correlated with the correlation index, which was obtained by normalizing the swelling data. The results showed that the swelling ratio decreased linearly with increasing χHSP value. The slope of these linear relations obtained for each SBR group decreased with increasing crosslink density in the form of power function. On the contrary, the relationship obtained between the correlation index and χHSP value had no change with the crosslink density. Taking advantage of this study, one can easily make the pre-screening of potential additives for their suitability in the rubber formula design.

Predicting of the Unit Grouting Quantity in Karst Curtain Grouting by the Water Permeability of Rock Strata

The prediction of the unit grouting quantity is one of the key points in the design and construction of karst curtain grouting. Because of the concealment and complexity of the karst curtain grouting project, there is no reliable solution to this problem. In this paper, based on the calculation method of water permeability in water-pressure test in grouting engineering, Poiseuille flow equation in fluid mechanics, and cubic law, the relationship between the unit grouting quantity and the water permeability of rock strata in karst curtain grouting is studied. It is found that there is a nonlinear positive correlation between the unit grouting quantity and the water permeability of rock strata in karst curtain grouting, which is in the form of power function. At the same time, the comprehensive coefficient of karst curtain grouting ( K ) is introduced to describe the quantitative relationship between the unit grouting quantity and the water permeability of rock strata. K is comprehensively characterized by three controlling factors, namely, the characteristics of slurry fluid, the characteristics of grouted rock strata, and the technical factors of grouting in karst curtain grouting. Based on this theoretical relationship, a method for predicting the unit grouting quantity in karst curtain grouting by the water permeability of rock strata is proposed in this paper. Finally, based on the typical example of karst curtain grouting project, through the field grouting test and nonlinear function fitting, the comprehensive coefficient of karst curtain grouting ( K ) is 24.37 in the area of strong karst development, and it is 16.51 in the area of weak karst development. The proposed method is applied to the prediction of the unit grouting quantity in the main project of karst curtain grouting, and the results verify the rationality and applicability of the method. This study has a certain reference value and guiding role in the design, construction, and theoretical research of karst curtain grouting.

Indoor Rheological Test and Creep Model Analysis of Soft Soil in Qingyi River region in Wuhu Anhui

The shear strength and the failure deviatoric stress of the Wuhu soft soil under different confining pressures were determined by indoor undrained consolidation triaxial rheological tests. Selecting 20%, 40%, 60% and 80% of the failure deviatoric stress as deviatoric stress and 100kPa, 200kPa and 300kPa as confining pressures, the rheological tests were conducted by separate loading method. Based on the creep curves obtained from the rheological tests, the related model parameters were determined after modifying the stressstrain and strain-time relation of Singh-Mitchell and Mesri creep model. And the empirical creep model was obtained, of which the stress-strain and strain-time relation were expressed in the form of power function. The analysis indicated that the creep characteristics of Wuhu soft soil was described more accurately by the new empirical creep model than Singh-Mitchell and Mesri creep model.

Reserve evaluation of high pressure and ultra-high pressure reservoirs with power function material balance method

It is difficult to determine the effective reservoir rock compressibility, aquifer volume and water influx of high pressure and ultra-high pressure gas reservoirs, so when the traditional apparent reservoir pressure and cumulative gas production curve extrapolation method and its modified version are used to calculate the initial gas in-place of such gas reservoirs, the calculation accuracy is lower. The material balance equation in the form of power function for such gas reservoirs was established based on Gonzalez method to improve the accuracy and reliability of reserve evaluation. Then, based on 20 high pressure and ultra-high pressure reservoirs that had been developed abroad, the empirical value of the power exponent was defined, and the influences of the depletion degree of apparent reservoir pressure and the degree of reserve recovery on the reliability of reserve calculation were analyzed. Besides, the critical value of the key parameter affecting the reliability of reserve evaluation (depletion degree of apparent reservoir pressure) was determined and compared with the critical value of the two-linear trends. Finally, an example calculation was carried out. And the following research results were obtained. First, the empirical value of the power exponent calculated using the material balance method in the form of power function is 1.02847, with an upper limit of 1.11567. Second, the depletion degree of apparent reservoir pressure corresponding to the inflection point of the classical two-linear trends ranges from 0.14 to 0.38 with an average of 0.23, while that corresponding to the extrapolation point of the second straight line is between 0.23 and 0.50 with an average of 0.33, and the corresponding degree of reserve recovery is in the range of 33%–65% with an average of 45%. Third, the reserves of such high pressure gas reservoirs calculated with this new method has an error rate less than 10% if the depletion degree of apparent reservoir pressure is greater than 0.33. In conclusion, for such high pressure gas reservoirs and the stress-sensitive fractured gas reservoirs, the material balance method in the form of power function proposed in this paper can avoid the uncertainty parameters (e.g. effective reservoir rock compressibility, aquifer volume and water influx) and it is advantageous with simple calculation process, better practicability and small error.

MATERIALS USED IN THE ROAD BASES: METHOD OF THE RESIDUAL DEFORMATIONS’ CALCULATION

Materials and methods. The authors performed the analysis of the models for calculating residual deformations accumulated by granular materials and under the influence of repeated loads. The research showed the hereditary nature of the strain granular materials’ accumulation. Therefore, the authors used integral calculus for analytical solution of the residual deformation’s dependence on the number of repeated loads and on the magnitude of the main stresses. Moreover, the authors obtained the solution in the form of logarithmic and power functions, which associated the accumulated deformation with the deformation arising from the first load application. In determining the deformation from the first load application, the authors took into account the model of the theory of plasticity, in which the elastoplastic deformation was determined by the sum of two components elastic and plastic, as well as rheological models considering the deformation as the sum of three or four components. Generalizing the model for various materials, the authors gave the preference to the model, in which the elastoplastic deformation was determined by four components: instantaneous elastic and residual deformations, elastic (elastic-viscous) deformation and a viscoplastic component. Therefore, the residual strain from the first load application was represented by the sum of the two components, instantaneous irreversible and viscoplastic. The viscoplastic component of the deformation was a result of stress relaxation in a relatively short period of time equal to the duration of the load impact. Such research allowed taking into account the effect of speed on the duration of the load and the magnitude of the viscoplastic component of the residual deformation. The authors emphasized that taking into account the viscous-plastic component of residual deformation was most appropriate when calculating residual deformations of soils and materials treated with an organic binder. Granular materials were less sensitive to viscoplastic deformation under a single load application, but, when the voltage exceeded the elastic limit, and the more plastic adaptability of crushed stone, gravel, etc. viscoplastic deformation made a significant contribution to the accumulated residual deformation.Results. As a result, the authors carried out the analysis of experimental data on the triaxial compression of various granular materials and determined the parameters obtained for the power and logarithmic functions. The authors studied such materials as granite, gneissic, granodiorite and diorite crushed stone, sand, gravel and crushed stone, gravel mixtures with a mineral part from various rocks and fortified sands.Discussion and conclusions. The paper demonstrates the possibility of using the solutions for calculation of the surface displacement of the pavement layers of granular materials. The authors formulate the tasks for further research.

Multivariable power least squares method: Complementary tool for Response Surface Methodology

Abstract In Response Surface Methodology (RSM), variables are correlated through polynomial functions based on Stone-Weierstrass theorem. However, such formulation inherits four weaknesses: possible misleading approximation, incapability to accurately determine the ranking of factors' dominance, failure to analyse factors in random value and proliferation of guess functions due to Pascal Triangle. Therefore, this article aims to develop an improvised method to rectify and complement the weaknesses of RSM. Multivariable Power Least Squares Method (MPLSM) has been developed to correlate various sets of independent variables with dependent variable in the form of power functions. MPLSM is built upon least squares method, and able to approximate the indices of the variables easily. Two variants of MPLSM are suggested to further ensure the numerical stability: the Normalised MPLSM and Iterative MPLSM. The proposed method is not only substantial in big data analysis and multivariable problems, but also providing an alternative approach in engineering optimisation.

Lung Stereotactic Body Radiation Therapy (SBRT) dose gradient and PTV volume: a retrospective multi-center analysis

BackgroundThe treatment of lung lesions with stereotactic body radiation therapy calls for highly conformal dose, which is evaluated by a number of metrics. Lung stereotactic body radiation therapy clinical trials constrain a plans gradient index. The purpose of this work is to describe the dependence of clinically achievable dose gradient on planning target volume.MethodsThree hundred seventy-four lung stereotactic body radiation therapy treatment plans were retrospectively reviewed and selected for this study. The relationship between R50% and planning target volume size was observed and compared against the RTOG 0915 and 0813 constraints noting minor and major deviations. Then a least squares regression was used to determine the coefficients for a power functional form of the dependence of gradient measure (GM) on planning target volume size.ResultsOf the 317 peripheral lung SBRT plans, 142 exhibited no deviation, 135 exhibited a minor deviation, and 40 exhibited a major deviation according to the RTOG 0915 dosimetric.conformality and dose fall-off constraints. A plot of gradient measure versus planning target volume size for peripheral lesions, excluding RTOG 0915 major deviations, is fit with an power function of GM = 0.564 V0.215.ConclusionsUsing the PTV size and GM relationship we have characterized, treatment plans with PTV < 85 cm3 can be evaluated subjectively to our previously plans, and given a percentile GM. This relationship and evaluation is useful for volumetric modulated arc therapy lung stereotactic body radiation therapy treatment planning and quality control.

Dynamic adjustments in bankfull width of a braided reach

Remarkable channel degradation has occurred in a braided reach of the Lower Yellow River owing to the recent operation of Xiaolangdi reservoir, and downstream progressive incision has caused a significant process of channel widening. For the 104 km long braided reach, the dynamic adjustments in bankfull channel widths were investigated at both the section scale and reach scale, based on post-flood cross-sectional profiles surveyed annually from 1999 to 2013. It was found that the bankfull width at one section increased by up to 2887 m (296% increase) over 14 years, with an increase in the reach-scale bankfull width of 666 m (59% increase) in the braided reach. Fluvial erosion intensity was identified as a key factor influencing the variation in bankfull width, based on a comparison of various fluvial and non-fluvial factors controlling channel widening. Empirical relationships were developed, in the form of simple power functions, between these bankfull widths and the previous four-year average fluvial erosion intensity during flood seasons at the hydrometric station of Huayuankou. It is concluded that the significant increase in bankfull width was prominent in the channel evolution of the braided reach, which resulted in a major loss of floodplains.

ПРИМЕНЕНИЕ ИСКУССТВЕННЫХ НЕЙРОННЫХ СЕТЕЙ ДЛЯ ПРОГНОЗИРОВАНИЯ ШЕРОХОВАТОСТИ ПРИ ЧИСТОВОМ И ПОЛУЧИСТОВОМ ТОЧЕНИИ

A technique for the development of artificial neural networks to predict the roughness of the treated surface during finishing and semi-finishing turning is presented. The back-propagation network architecture was adopted, having an input, hidden and output layers, a sigmoidal activation function for the hidden layer and a linear one for the output layer. To form a training sample, empirical expressions in the form of power functions were used, training of networks was carried out according to the Levenberg-Marquardt algorithm, which has fast convergence. Technological modes (cutting speed and depth of cut, tool feed), cutting tool geometrical parameters (main and auxiliary angles in terms of the tool, radius at the tip of the tool, rake angle), physicomechanical properties of the material being processed, each the training sample is formed from thousands of source data combinations. Separate networks have been developed that predict roughness during finishing and semi-turning turning, as well as a combined network that takes into account both types of processing. Analysis of the accuracy of the networks showed good results, the relative error of calculations does not exceed 1%. The proposed neural network models can be used in technological preparation of production, as well as in systems of adaptive control of the cutting process.

Determination of the trading discount based on market data and cadastral value

The introduction of the institution of cadastral value in the Russian Federation opens up new opportunities in real estate valuation. In this regard, the new focus for appraisers is statistical analysis of multidimensional empirical distributions that were not previously available, because the real estate market does not have pairwise and multidimensional observations concentrated in unified databases. Data of interest to analysts is usually concentrated in different sources from different owners and pertains to different objects. The goal of combining them can be solved by comparing such data with the data of cadastral records, namely the cadastral number as a unique identifier of the object. Since the cadastral value corresponds to each cadastral number, it is possible to compare the cadastral value with important indicators such as the market price of the offer, the transaction price, the rental rate, the annual price indices, the capitalization rate, the discount rate, the trading discount and many other indicators, the formation of which involves more than two random variables. The construction of the model involves the principle of following the prices formed by pair comparisons to geometric Brownian motion, and hence the formation of lognormal population. As it turned out, as a result of large-scale cadastral work carried out in the Russian Federation in 2014, the cadastral value is also subject to lognormal distribution of prices (in each class of objects). For the market value (as the most probable price of the transaction under conditions of perfect competition), this leads to functional dependences from the cadastral value of the power type. Similarly, many other indicators will also be subject to dependences in the form of power functions. Obviously, having a function depending from the various indicators of cadastral value across the set of values, you can set the relationship between the various indicators, which was impossible before the introduction of the institution of cadastral value. This article proposes a method of calculating the trading discount when appraising real estate based on analysis of market statistics and databases of cadastral records. An analytical formula of the dependence of trading discounts from the offer price is proposed. The method allows us to set the level of the discount not only for objects included in an advertising database, but also for any object that has undergone cadastral registration.

Shrinkage of recycled aggregate concrete: experimental database and application of fib Model Code 2010

This paper describes a meta-analysis of previously published studies on the shrinkage strain of recycled aggregate concrete (RAC). The study aims at providing an analytic expression for the shrinkage strain of RAC to be used in conjunction with the existing fib Model Code 2010 shrinkage prediction model. For this purpose, a database of experimental results on the shrinkage of RAC and companion natural aggregate concrete (NAC), produced with the same water-cement ratio, was compiled using strict selection criteria. Results from 19 studies entered into the database, consisting of 125 shrinkage curves (39 NAC and 86 RAC) with a total of 424 data points. A comparison of RAC and companion NAC revealed that, on average, RAC displays a larger shrinkage strain. This difference increases with increasing recycled concrete aggregate (RCA) content and with decreasing compressive strength. Applying the fib Model Code 2010 shrinkage prediction model revealed that, relative to its performance on NAC, the shrinkage strain of RAC is underestimated. Finally, a correction coefficient for the shrinkage strain of RAC, $$\xi _{{\mathrm{cs}},{\mathrm{RAC}}}$$, to be used in conjunction with the fib Model Code 2010 model, was proposed in the form of a bivariate power function with RAC compressive strength and RCA replacement ratio as variables.