上海大学学报(自然科学版)
上海大學學報(自然科學版)
상해대학학보(자연과학판)
JOURNAL OF SHANGHAI UNIVERSITY
2009年
6期
634-636,648
,共4页
非均匀热弹性%非均匀湿热黏弹性%拟静态问题%对应原理%折减时间
非均勻熱彈性%非均勻濕熱黏彈性%擬靜態問題%對應原理%摺減時間
비균균열탄성%비균균습열점탄성%의정태문제%대응원리%절감시간
nonhomogeneous thermo-elasticity%nonhomogeneous hygro-thermo-viscoelasticity%quasi-static problem%correspondence principle%reduced time
采用Christensen各向同性热黏弹性本构关系,考虑湿气和温度变化对热流变简单材料折减时间函数的影响,利用Laplace变换法,证明当材料松弛函数具有时空可分离形式,且在给定的温度场和湿气场仅与时间变量有关时,各向同性、非均匀湿热黏弹性拟静态问题的对应原理仍然成立.
採用Christensen各嚮同性熱黏彈性本構關繫,攷慮濕氣和溫度變化對熱流變簡單材料摺減時間函數的影響,利用Laplace變換法,證明噹材料鬆弛函數具有時空可分離形式,且在給定的溫度場和濕氣場僅與時間變量有關時,各嚮同性、非均勻濕熱黏彈性擬靜態問題的對應原理仍然成立.
채용Christensen각향동성열점탄성본구관계,고필습기화온도변화대열류변간단재료절감시간함수적영향,이용Laplace변환법,증명당재료송이함수구유시공가분리형식,차재급정적온도장화습기장부여시간변량유관시,각향동성、비균균습열점탄성의정태문제적대응원리잉연성립.
The Christensen's isotropic thermo-viscoelastic constitutive relation is adopted to consider influence of moisture and thermal changes on the reduced time for simple thermo-rheological materials.The Laplace transform method is used to show that the correspondence principle for isotropic and nonhomogeneous hygro-thermo-viscoelastic quasi-static problems still holds when relaxation functions have separable forms in space and time,and the given temperature and moisture fields are only related to time variable.
