摘要
首次提出了粘弹性本构理论中的弹性回复对应原理（或称为记忆消除对应原理），该原理开辟了求解非线性（及线性）粘弹性问题的新途径．对于线性或非线性粘弹性材料在等幅循环应变或等幅循环应力作用下的具体计算实例表明：只要材料存在瞬时弹性，利用遗传性积分的逆式，永远可以消除记忆，把现时应力或现时应变回复到瞬时弹性应力或瞬时弹性应变，从而真正实现了非线性（或线性）粘弹性本构关系与非线性（或线性）弹性本构关系之间的对应．
In this paper, elasticity recovery correspondence principle (or memory elimination correspondence principle) in nonlinear viscoelastic constitutive theory is first proposed. This principle gives a new approach for solving the nonlinear(and linear) viscoelastic problems. From the results of several numerical examples for linear or nonlinear viscoelastic materials subjected to equal amplitude cyclic strain or equal amplitude cyclic stress,it is shown that, by using the inverse hereditary integral we may always eliminate memory and recover the present stress or strain to the instantaneous elastic stress or strain, as long as the material has instantaneous elasticity. Thus, the correspondence between nonlinear(or linear) viscoelastic constitutive relations and nonlinear(or linear) elastic constitutive relations is really realized.
出处
《湘潭大学自然科学学报》
CAS
CSCD
1998年第3期59-65,共7页
Natural Science Journal of Xiangtan University
基金
国家自然科学基金
关键词
非线性
粘弹性理论
本构关系
弹性回复
对应原理
nonlinear viscoelasticity, constitutive relations, elasticity recovery correspondence principle
