CAJ | 학술논문

以含内变量的本构关系理论为基础，结合材料损伤演化方程，并考虑了温度和损伤对材料参数的影响，得到了增量形式的热粘塑性本构关系的普适显式表达式。然后使用Bodner幂函数型粘塑性模型，具体推导了其增量形式的热粘塑性本构方程。接着结合在实践中有重要意义的内部爆炸载荷作用下的柱壳破裂问题，建立了含损伤热粘塑性柱壳破裂问题的完备方程组，使用有限差分方法，完成了对问题的数值模拟，并对结果进行了分析。计算结果与实验结果符合良好。
이함내변량적본구관계이론위기출，결합재료손상연화방정，병고필료온도화손상대재료삼수적영향，득도료증량형식적열점소성본구관계적보괄현식표체식。연후사용Bodner멱함수형점소성모형，구체추도료기증량형식적열점소성본구방정。접착결합재실천중유중요의의적내부폭작재하작용하적주각파렬문제，건립료함손상열점소성주각파렬문제적완비방정조，사용유한차분방법，완성료대문제적수치모의，병대결과진행료분석。계산결과여실험결과부합량호。
In this paper, on the basis of the constitutive relation theory with internal variables, combining the damage evolution equations and considering damage and temperature softness effects, we get the general explicit formulation of incremental thermo-viscoplastic constitutive relations. By choosing Bodner’s power-form viscoplastic model, we obtain the specific incremental thermo-viscoplastic constitutive relations. Then taking the cylinder fracture problem of great importance in practice as an example, we develop the governing equation system about the fracture problem of thermo-viscoplastic circular tubes. Numerical simulations are carried out and the computational results are analyzed. The satisfactory agreement between the computational results and the experimental ones shows that the constitutive relations and computational method presented in this paper are reasonable and of important academic and practical values.