关键词: 断裂力学, 功能梯度材料板, 分层线性离散模型, 温度场, 扩展有限元法, 应力强度因子

Abstract:

In order to perform the fracture mechanics analysis of functionally graded material (FGM) plates,amethod for temperature field loading is proposed to establish a layered linear discrete model.Then,a comparativeanalysis of the proposed method,the gradient finite element method and the common finite element method is per-formed in terms of the stress field and the displacement field of the plates,which verifies the convenience and feasi-bility of the proposed method.Moreover,the displacement field of FGM plates with crack is calculated via the ex-tended finite element method based on the proposed method,and the stress intensity factors of crack tips are de-rived by the displacement extrapolation technique.Finally,by using the above- mentioned methods,the stress in-tensity factors of FGM plates with different gradient parameters.crack sizes and crack inclination angles are numeri-cally simulated.The results show that stress intensity factors can be effectively reduced by reasonably selecting thegradient parameter and controlling the crack size,and that the proposed method is applicable for the fracture me-chanics analysis of FGM plates with arbitrarily- distributed properties.

Key words: fracture mechanics, functionally graded material plate, layered linear discrete model, temperaturefield, extended finite element method, stress intensity factor