Auxetic materials have recently emerged as new types of advanced materials with unique material properties that conventional materials do not possess. In this paper, we examine the effect of in-plane negative Poisson’s ratio (NPR) on the thermal postbuckling behavior of graphene-reinforced metal matrix composite (GRMMC) laminated cylindrical shells. The shell consists of GRMMC layers arranged in a piece-wise functionally graded (FG) pattern and is subjected to a uniform thermal load surrounded by an elastic medium. Based on the molecular dynamics simulation results, it is noted that the temperature-dependent material properties of GRMMCs can be expressed as a nonlinear function of temperature. The thermal postbuckling problem of shells is modeled under the framework of the Reddy’s third order shear deformation theory and solved by using a singular perturbation technique in conjunction with a two-step perturbation approach. Numerical investigations are carried out for the postbuckling of (10/-10/10/-10/10)${}_{\mathrm{S}}$ and (10/-10/10)${}_{\mathrm{S}}$ shells with in-plane NPR. It is found that the FG-X pattern can enhance the buckling temperature and the thermal postbuckling strength of the shells. The anomaly is that the thermal buckling load and postbuckling strength of UD (10/-10/10)${}_{\mathrm{S}}$ shell are slightly higher than those of UD (10/-10/10/-10/10)${}_{\mathrm{S}}$ GRMMC laminated cylindrical shell.

辅助材料近来已成为具有常规材料所不具备的独特材料性能的新型高级材料。在本文中，我们研究了面内负泊松比（NPR）对石墨烯增强金属基复合材料（GRMMC）层压圆柱壳的热后屈曲行为的影响。外壳由GRMMC层组成，这些层以分段功能梯度（FG）的方式排列，并受到弹性介质包围的均匀热负荷。基于分子动力学模拟结果，注意到GRMMCs随温度变化的材料特性可以表示为温度的非线性函数。壳的热后屈曲问题是在Reddy的三阶剪切变形理论的框架下建模的，并通过使用奇异摄动技术结合两步摄动方法来解决。对（10 / -10 / 10 / -10 / 10）的后屈曲进行了数值研究${}_{\mathrm{小号}}$ 和（10 / -10 / 10）${}_{\mathrm{小号}}$平面NPR的弹壳。发现FG-X图案可以提高壳的屈曲温度和热后屈曲强度。异常是UD的热屈曲载荷和后屈曲强度（10 / -10 / 10）${}_{\mathrm{小号}}$ 外壳比UD的外壳略高（10 / -10 / 10 / -10 / 10）${}_{\mathrm{小号}}$ GRMMC层压圆柱壳。