## 1 Introduction  
Nowadays, ultra-precision machining technology is developing towards the scales of micron, submicron and nano. Therefore, traditional cast iron machine tools can hardly satisfy the needs of actual application. The idea of using resin concrete as a bed material emerges for solving this problem. It is a kind of composite material that is mainly composed of aggregates of different sizes and liquid organic resin which hardens through polymerization reaction. Due to its outstanding properties such as high strength, excellent vibration attenuation and thermal stability, resin concrete attracts considerable attention. Thermal deformation plays a vital role in the appearances of manufacturing errors. Aiming at special demand of ultra-precision computer numerical control (CNC) machine tool for high thermal stability, negative thermal expansion (NTE) material is urgently needed. It contracts upon heating within a certain range of temperature rises and adding NTE material can make the composite in CTE change. Cubic Zirconium Tungstate (ZrW\({}_{2}\)Os) exhibits strong, isotropic NTE behavior in a wide temperature scope from 0.3 K to 1050 K. [PERSON] [1] conducted an experiment of CTE of cement by adding ZrW\({}_{2}\)Os. The experiment results showed addition of ZrW\({}_{2}\)Os played a vital role in reduction of CTE. By finite element analysis, [PERSON] [2] studied thermal mismatch stresses of a Cu-ZrW\({}_{2}\)Os composite. Hence, we consider that the addition of ZrW\({}_{2}\)Os can have a great effect on the thermal ability of resin concrete. The use of ZrW\({}_{2}\)Os in concrete contributes in providing new advanced composites. Numerous analytical approaches aiming at effective CTE prediction has been studied extensively in the literature. [PERSON] [3] assumed that inner material does not exhibit internal stress at initial temperature and the CTE has no relation with the shape and size of the inclusions. It is also assumed that the components only bear isostatic pressure and the dimensional changes of the components and the macro composite material in terms of temperature occur at the same rate. In this model, the CTE of composites depends on volume fraction and bulk modulus of each component. Although this model is in accord with experimental results on some composite systems, deviations can also be observed because of the model assumption [4]. Considering internal boundaries of composites and shear effects between phase boundaries, [PERSON]'s model is widely applied for CTE prediction [5]. The derivation process is based on self-consistent algorithms. In this model, shear modulus of the matrix has an effect on the CTE of composites. This model completely accords with a linear correlation between the CTE of the components and volume fraction of each component [6]. [PERSON] [7] further developed the prediction model and studied bounds on effective CTE of composite materials made up of isotropic phases based onthermo-elastic principles. Upper and lower bounds can be obtained based on the Hashin-Shtrikman [8] model. There are also many studies related to the CTE of concrete. [PERSON] [9] investigated the effect of age, moisture content and mix proportion on concrete CTE. [PERSON] [10] explored the influence of aggregate of low CTE to the whole CTE. [PERSON] [11] held that moisture has a big impact on the CTE and proved it. [PERSON] [12] considered that superabsorbent polymers (SAP) can suppress the negative effect of self-desiccation which leads to increase of the CTE. In recent years, some scholars [13; 14; 15] have developed prediction models for CTE of concrete. Many aspects, such as volume fractions of aggregate, elastic moduli of components, and aggregate type, were investigated to analyze their effects on concrete CTE. However, up to now there is no special model or theory for theCTE of resin concrete. Experiments of the CTE of resin concrete were conducted by [PERSON] [16] and [PERSON] [17]. Nonetheless, adding ZrW\({}_{2}\)Os as filler to resin concrete has never been taken into account.