摘要
讨论了松弛函数的积分表示.用Laplace变换方法得到了Maxwell模型的应力应变关系方程,方程中的松弛函数可以用Mittag-Leffler函数表示.由于大的负变元的存在,计算起来非常困难,运用连续松驰谱法将Mittag-Leffler函数用积分的形式来表示,从而解决了这个问题.通过数值算例说明了该结果的有效性.
In this paper,the integral representation of relaxation function is discussed.The stress-strain relationship equation of Maxwell model is obtained by Laplace transformation.The relaxation function in the equation can be expressed by Mittag-Leffler function.Because of the existence of large negative arguments,it is very difficult to calculate.We use the continuous relaxation spectrum to express the Mittag-Leffler function in integral form.This problem has been solved.A numerical example illustrates the effectiveness of the result.
引文
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