Abstract:The compressive stress strain curve of EPS cement based lightweight materials was presumed based on the porous materials’ Gibson Ashby theory. The presumptions were compared with experimental results. The influences of fiber, latex, compress ratio and curing condition on the stress strain curves were analyzed. The diversification of brittle compressive strength was investigated. The relationship between compressive strength and density was also fitted according to Gibson Model. The results figure out that the stress strain curve can be treated to be formed from those of elastic porous materials and elastic brittle porous materials, and that the presumptions show good correspondence to the experimental results. Fibers, latex, compress ratio and curing condition will affect the Linear Elastic, Plateau and Densification of the stress strain curves, as well as the brittle compressive strength. The compressive strength and density of Series C, F and H can be fitted well under Gibson Model. Series L and S cannot be fitted so exactly owing to the differential of the strength of pore wall to the model.