One of the most acute problems in studying composite stress-strain states is determining the initial residual stresses during the design of layered construction elements. The full stress-strain state of composite constructions consists of the initial (generated during the manufacturing process) and operating (generated during the working period) stages. A thorough investigation of the initial stage of the stress-strain state is very important to finding the total stresses and deformations, and determining the correct destruction time of composite structures, and preventing their destruction. Otherwise, if the initial stresses and deformations are not taken into account, the structures may be destroyed long before their expected service life.Structural factors and conditions, such as the thickness, layup and technological errors, need to be analyzed to solve the initial stress-strain state relevant problem. Among them, one of the technological errors is the disorientation angle, which is expressed as a deviation of the composite layers from the initially given laying directory. Of particular interest is the influence of design factors on the face composite layers and the layers near them since those layers are strongly influenced by different loads and may be destroyed prematurely.The disorientation angle of the face layers was investigated from this perspective. This paper takes into account the disorientation angle, structure types, and thickness, and using this information, we aim to provide more information about predicting composite destruction, by finding the residual thermal stress values for the whole composite construction.Previous researches [1-6] have explained the influence of different conditions on the stress-strain state of composite structures. Wong [1] studied the thermal stresses in the discrete joints of sandwiched structures by employing a two-step solution for modeling the stresses in the discrete joints of a sandwiched structure resulting from mismatched thermal expansion. Furthermore, Shokrieh et al. [2] studied the effects of multi-walled carbon nanotubes on the thermal residual stresses in polymeric fibrous composites. Węglewski et al. [3] presented the results of experimental measurements and numerical modeling of the effect of particle size on the residual thermal stresses arising in sintered metal-matrix composites after cooling down from the fabrication temperature. Additionally, Ondurucu and Topcu [4] carried out a thermal elastic-plastic stress analysis for thermoplastic laminated plates. The elastic-plastic solution for small plastic deformations, and the residual stress distributions along the thickness of the plates were obtained. Liu and Sun [5] analytically researched the effect of thermal residual stresses on the elastoplastic behavior of the composites. Moreover, Kim et al. [6] investigated the curing process for carbon/epoxy composites to reduce thermal residual stress by the cure monitoring system, using dielectrometry and fiber Bragg grating sensors simultaneously.By re...