Response Analysis Of Cracked Structures Under Thermal Shock Based On Non-Fourier Heat Conduction

With the development of science and technology,the application of high-frequency and highheat heat sources such as laser and microwave is more and more widespread,which challenges the traditional Fourier law.Many researchers have observed and verified nonFourier heat conduction theory in many thermally conductive materials.In this paper,the non-Fourier heat conduction equation is studied under different parameters and the stress intensity factor of the cracked structure is calculated,and the regular pattern of non-Fourier heat conduction is obtained.The first chapter of this paper gives a brief introduction to the type and derivation of the non-Fourier heat conduction equation,and introduces the fracture theory under the temperature field.Due to the lack of non-Fourier heat transfer algorithm in commercial software,this paper writes a finite element program for numerical simulation calculation.The second chapter introduces the derivation of the finite element equation of the single-phase-lag hyperbolic heat conduction model.The discrete equations in the space domain and the time domain are transformed into high-order matrix equations of programmable calculation.Then the temperature stress and stress intensity factor is calculated after the temperature field is obtained.In the third chapter,the crack-free structure is taken as an example to calculate the temperature field and thermal stress response of thick-walled cylinder under steady-state temperature field,the temperature response of the plate under transient temperature field with zero phase delay,and the wire temperature response based on non-Fourier heat conduction.In the fourth chapter,the temperature field and the stress intensity factor of the cracked structure are analyzed by two examples.The nonFourier heat conduction is compared with the Fourier heat conduction,and the variation law under different parameters is analyzed.