为了探究碳纤维筋增强地聚合物砂浆复合体系（carbon fiber reinforced polymer-reinforced geopolymer matrix, FRGM）增强钢筋混凝土梁的加固效果，通过数值模拟研究了FRGM体系抗弯加固钢筋混凝土梁的力学性能。包括建立三维有限元模型，模拟FRGM体系加固钢筋混凝土梁的破坏模式、特征荷载以及荷载-跨中位移曲线，以及探讨FRGM层的厚度、长度以及原试件的预损伤程度对加固效果的影响。研究结果表明，FRGM层厚度对钢筋混凝土梁极限承载力影响不明显，提升幅度为72.29% ~ 79.38%，但其刚度有一定的提升，最高达38%；增加FRGM层长度可以提高钢筋混凝土梁的极限承载力，但随着FRGM层长度的增加，极限承载力的提升幅度逐渐减弱，且FRGM层长度与极限承载力之间不存在线性关系；相较于原构件，对钢筋混凝土梁进行预损后加固，其承载力有一定程度的提升（36.5% ~ 73.66%），说明FRGM加固方法的有效性。

In order to explore the strengthening effect of reinforced concrete beams strengthened by carbon fiber reinforced polymer reinforced geopolymer matrix (FRGM), the mechanical properties of reinforced concrete beams reinforced with flexural reinforcement reinforced concrete in FRGM system were studied by numerical simulation. Three-dimensional finite element models were established to simulate the failure mode, characteristic load and load-mid-span deflection curve of reinforced concrete beams reinforced by FRGM system, and the influence of the thickness and length of the FRGM layer and the pre-damage degree of the original specimen on the reinforcement effect was discussed. The results show that the thickness of the FRGM layer has no obvious effect on the ultimate bearing capacity of reinforced concrete beam, and the increase range is 72.29% ~ 79.38%, but the stiffness of the FRGM layer is improved to a certain extent, up to 38%. The ultimate bearing capacity of reinforced concrete beams can be increased by increasing the length of the FRGM layer, but with the increase of the length of the FRGM layer, the increase of the ultimate bearing capacity gradually weakens, indicating that there is no linear increase relationship between the length of the FRGM layer and the ultimate bearing capacity. Compared with the original components, the bearing capacity of reinforced concrete beam members is improved to a certain extent after pre-damage reinforcement(36.5% ~ 73.66%), which shows the effectiveness of FRGM reinforcement method.