为了发现LPG储罐在火灾环境下温度-压力-应力气液固的耦合机理，利用小波有限元理论对其进行深入地研究。首先，根据气液两相流理论、三参数状态方程以及固体热传导理论建立LPG储罐温度-压力-应力气固液耦合场的数学模型。然后，构造出LPG储罐在火灾环境下温度-压力-应力气固液耦合的小波有限单元，通过对耦合模型在空间和时间上的离散，获得LPG储罐在火灾环境下温度-压力-应力气固液耦合的小波有限元列式。接着，进行LPG储罐气液固耦合场各个物理量的多点测试，通过实验结果和数值计算结果的比较验证小波有限元的精确性。接下来，进行小波有限元法的收敛性分析，找出精确度最高，求解过程最稳定的耦合小波有限单元，从而可以提高计算的鲁棒性。最后，利用小波有限元分别对LPG储罐在不同火灾环境下温度-压力-应力气液固耦合机理进行分析，从而能够有效预测LPG储罐在火灾环境下的爆炸危险性，提出完善的LPG储罐防爆预警机制

In order to discover the temperature-pressure-stress gas liquid solid coupled mechanism of the LPG tank under fire, the wavelet finite element theory is applied in studying it in depth. First, the mathematical model of temperature-pressure-stress gas liquid solid coupled field of the LPG tank is proposed according to gas-liquid two-phase flow theory, three three-parameter state equation, and solid thermal conduction theory. And the temperature-pressure-stress gas-liquid-solid coupled wavelet finite element of the LPG tank under fire is constructed, and the temperature-pressure-stress gas-liquid-solid coupled wavelet finite element formulation of the LPG tank under fire is obtained through discretizing the coupled model on time and space. And then the multi-point test of various physical quantity of the gas-liquid-solid coupled field of the LPG tank is carried out, and the accuracy of the wavelet finite element method is verified through comparing the test results with the numerical results, and then the convergence of the wavelet finite element method is carried out, and the coupled wavelet finite element with highest precision and most stable solving process will be established, and the robustness of the numerical calculation will be improved. Finally, the temperature-pressure-stress gas-liquid-solid coupled mechanism of the LPG tank under different environments of fire is analyzed by using wavelet finite element method, and the explosion fatalness of the LPG tank under fire will be predicted effectively, and the perfect alert mechanism of the LPG tank explosion proof will be proposed.