The initial-boundary value problem of thermoelastoplastic deformation of flexible reinforced plates is formulated. The possible weak resistance of such structures to the transverse shear is taken into account within the framework of Ambartsumyan theory. The geometric nonlinearity is taken into account in the Karman approximation. The temperature across the thickness of the plates is approximated by a square parabola. The solution of the 2D problem formulated is constructed by using an explicit numerical scheme. The dynamic thermoelastoplastic behavior of plane-cross and spatially reinforced fiberglass (GFRP) and metal composite plates bending under an action of air blast waves is studied. It is shown that replacing a plane scheme of reinforcement by a spatial one in GFRP structures allows a more efficient removal of the heat generated in them by the dissipation of mechanical energy. It is demonstrated that relatively thin composite plates heat up somewhat more than thick ones at the same maximum strain intensity in the binder. The heating level of reinforced structures is insignificant: the temperature increment is 1-4°C in GFRP plates and 7-10°C in metal composite plates. Therefore, the dynamic calculations of composite plates subjected to the actions of such loads as air blast waves can be carried out without taking into account the thermal action in the absence of additional heat sources of nonmechanical origin.

提出了柔性增强板热弹塑性变形的初边界值问题。在 Ambartsumyan 理论的框架内考虑了这种结构对横向剪切的可能弱抗力。在卡门近似中考虑了几何非线性。板厚度方向的温度近似为方形抛物线。所制定的二维问题的解决方案是通过使用显式数值方案构建的。研究了平面交叉和空间增强玻璃纤维 (GFRP) 和金属复合板在空气冲击波作用下弯曲的动态热弹塑性行为。结果表明，用 GFRP 结构中的空间方案代替平面加固方案可以更有效地去除机械能耗散产生的热量。结果表明，在粘合剂中相同的最大应变强度下，相对薄的复合板比厚的复合板加热得更多。增强结构的加热水平无关紧要：GFRP 板的温升为 1-4°C，金属复合板的温升为 7-10°C。因此，在没有额外的非机械热源的情况下，可以在不考虑热作用的情况下，对承受诸如空气冲击波等载荷作用的复合板进行动态计算。结果表明，在粘合剂中相同的最大应变强度下，相对薄的复合板比厚的复合板加热得更多。增强结构的加热水平无关紧要：GFRP 板的温升为 1-4°C，金属复合板的温升为 7-10°C。因此，在没有额外的非机械热源的情况下，可以在不考虑热作用的情况下，对承受诸如空气冲击波等载荷作用的复合板进行动态计算。结果表明，在粘合剂中相同的最大应变强度下，相对薄的复合板比厚的复合板加热得更多。增强结构的加热水平无关紧要：GFRP 板的温升为 1-4°C，金属复合板的温升为 7-10°C。因此，在没有额外的非机械热源的情况下，可以在不考虑热作用的情况下，对承受诸如空气冲击波等载荷作用的复合板进行动态计算。