###### Abstract  
Experimental investigation on cement emulsified asphalt mortar (CA mortar) under uniaxial monotonic compression by taking into account the stochastic properties were investigated. An analytical constitutive model based on the statistic damage approach capable of mimicking the stochastic mechanical responses of CA mortar under uniaxial compression was proposed. The comparison between the experimental results and the predictions demonstrated that the proposed model was able to characterize the salient features for CA mortar under uniaxial monotonic compression. Furthermore, the compressive stochastic evolution (SE) of CA mortar tested in this work and comparative analyses among typical China Railway Track System-I (CRTS-I) type CA mortar and concrete in several aspects were examined and performed; it was revealed that the Lognormal distribution density function can well represent the damage probability density for CA mortar, and its stochastic constitutive relationship can be reflected by a media process of transition from microscale to macroscale. c 20202015 April 2020202014 March 20202015 April 20202015 April 20202014 March 20202  
Among foregoing categories of research topics, the mechanical behavior of CA mortar is recognized as paramount. In view of CA mortar normally being under the coupling effect of varied loading frequencies and temperatures during the service condition, the mechanical properties have been usually examined incorporated with strain rate effects and temperature sensitivity. Such approaches have been applied successfully to deal with relative topics, and a variety of works can be traced [8; 23; 24; 25; 26; 28; 29; 30; 31; 32; 33; 45]. In detail, several conclusions are can be drawn according to those researches: (1) the compressive strength, compressive strain, and the elastic modulus are much more sensitive than traditional Portland cement mortar and concrete to strain rate effect [28]; (2) the peak strength, discrete dynamic Young's modulus, and specific energy absorption increase with strain rate [8; 21; 23; 25; 26; 31]; (3) the compressive strength and elastic modulus increase monotonically with confining pressure [24]; (4) increasing temperature results in the decrease of mechanical properties such as resilient modulus, compressive strength, and flexural strength, the temperature sensitivity and loading rate dependence for mechanical properties with higher asphalt-to-cement content ratio (A/C) are greater than those with lower A/C [22; 25; 32; 33; 45]; (5) the storage modulus gradually decreases with increasing temperature and decreases with the increase of A/C and water content [29]. As a fundamental problem with respect to mechanical behaviors, the constitutive relationship of the material is regarded as the basis of the research on the performance of structural analysis. Up until now, a variety of empirical or theoretical approaches have been successfully developed and applied in modelling such behaviors for different materials [8; 21; 22; 23; 25; 35; 46; 48]. However, relevant studies for CA mortar are limited at present. From a summary standpoint, present research can be classified into two categories: (a) Empirical or semi-empirical models, where the constitutive relationship are accounted for based on the observation of the experimental results; for example, [PERSON] et al. [24] developed a modified Domaschuk model to characterize the full deviatoric stress-strain relationship of CA mortar in both the confined and uniaxial cases based on the experimental results of a triaxial compressive test. Further, by coupling of the effects of loading rate and temperature sensitivity, [PERSON] et al. [25] proposed a stress-strain model for CA mortar by using a modified Guo's model. Although such empirical models may have the advantage of simplifying relative design/analysis process towards certain problems, the formulated equations can be only used for representing a specific observed phenomenon.