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Prof. Dusan Zorica 报告通知(聘请外国文教专家项目) (2020-27)


发布时间: 2020-11-17     浏览次数: 11

报告题目:Fractional wave equations: hereditariness and non-locality
报 告 人:Prof. Dusan Zorica (University of Novi Sad, Serbian Academy of Arts and Sciences)
地    点:线上会议ZOOM(ID: 829 8083 9920)或者乐学楼1030
时    间:2020.11.19  16:00-17:30
主办单位:澳门十大网站排行固体力学研究所
报告人简介:Dusan Zorica教授的主要研究领域是通过引入分数阶微积分理论,建立能够体现出记忆性和非局部效应的粘弹性材料和热传导材料的本构模型,并根据能量耗散的热力学要求,来保证本构模型的实际物理意义。同时通过拉普拉斯变换或者傅里叶变换推导研究本构方程的解析解,与数值试验的结果进行对照。相关研究领域发表出版专著2部,发表SCI论文38篇。
报告内容:The generalization of classical wave equation is performed within the framework of fractional calculus in order to account for the hereditariness and non-locality representing the material features. Both effects are included through the constitutive equation, while the equation of motion of the deformable body and strain are left unchanged. Memory effects in viscoelastic materials are modeled through distributed-order fractional constitutive equation generalizing all linear models having differentiation orders up to order one, while in the case of differentiation orders exceeding the first order, the fractional Burgers model is considered. Moreover, a priori energy estimates are used in order to prove dissipativity property of the hereditary fractional wave equations and energy conservation property for two non-local fractional wave equations. Moreover, microlocal approach in analyzing the singularity propagation is utilized in the case of viscoelastic material described by the fractional Zener model, as well as in the case of two non-local models: non-local Hookean and fractional Eringen.

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