Important estimates were made of the cohesive zone mode (CZM) characteristics used to predict the fracture of Elium composites processed at various temperatures in this study. First, tests for the end notched flexure (ENF) and double cantilever beam (DCB) on composites processed at different temperatures (24°C, 50°C, and 80°C) were performed. Based on the experimental results, the numerical models of damage evolution were developed. And six pairs of cohesive parameters (cohesive strength and cohesive stiffness) to the specified fracture energy release rates were obtained. Then, a Tsai approach was developed to predict the cohesive strength of the Elium composite with various process temperatures based on the obtained parameters. In order to predict the delamination behavior of the Elium composite, the obtained cohesive parameters were then used to a numerical model of short beam shear (SBS). The peak force of the simulations was discovered to be consistent with the outcomes of the tests. The findings served as a reference for damage assessments of Elium composites processed at various temperatures.