Waves in Random and Complex Media ( IF 4.051 ) Pub Date : 2018-06-28 , DOI: 10.1080/17455030.2018.1490043 Pei Zhang 1 , Tianhu He 1
In the generalized thermoelasticity with nonlocal effect and memory-dependent derivative, the dynamic response of a finite thermoelastic rod fixed at both ends and subjected to a moving heat source is investigated. The corresponding governing equations are formulated and solved by means of Laplace transform and its numerical inversion. In simulation, the effects of the time-delay factor, the kernel function and the nonlocal parameter on the distributions of the non-dimensional temperature, displacement and stress are examined, respectively, and illustrated graphically. The results show that: the time-delay factor and the kernel function significantly affect the peak values of the considered variables; the nonlocal parameter barely influences the distributions of the non-dimensional temperature, slightly influences the peak values of the non-dimensional displacement, while remarkably influences the peak values of the non-dimensional stress.
中文翻译:
受到热源移动时具有非局部效应和记忆相关导数的广义热弹性问题
在具有非局部效应和依赖于记忆的导数的广义热弹性中,研究了固定在两端并受到移动热源作用的有限热弹性杆的动力响应。借助于拉普拉斯变换及其数值反演来制定和求解相应的控制方程。在仿真中,分别检查了时滞因子,核函数和非局部参数对无量纲温度,位移和应力分布的影响,并以图形方式进行了说明。结果表明:时间延迟因子和核函数显着影响所考虑变量的峰值;非局部参数几乎不会影响无量纲温度的分布,