绣山讲坛第427讲-Modelling of scale effects in nanoscopic structures(Physical aspects)
作者： 已浏览：1次 更新日期：2026-05-12
报告题目：Modelling of scale effects in nanoscopic structures(Physical aspects)
报告时间：2026年5月13日，星期三, 15:00 PM
报告地点：龙赛理科楼南楼 519会议室
主讲人：Prof. Vladimir Sladek,Institute of Construction and Architecture, Slovak Academy of Sciences, Bratislava, Slovakia
摘要：
The lecture is focused on understanding the physical nature of continuum based modelling of size effects in small size samples. The differences between the classical, higher-grade and nonlocal continuum models are pointed out. The attention is paid also to the discrepancy in response of nanostructures modelled within the higher-grade theory and the Eringen nonlocal theory. Specific requirements, such as the C1 continuity and real dimensionality modelling are discussed in the higher-grade theories. There are outlined two alternatives, how to achieve the demand of high continuity without increasing the amount of degrees of freedom. The Moving Finite Element Approximation is implemented into meshless formulations, while the Mixed FEM is used in global FEM formulations. It is illustrated the need to model real dimensions of specimens for getting correct response to external excitations. Finally, the stationary heat conduction problem in an infinitely extended bilayer is considered within the higher-grade continuum theory. Making use the analytical solution, there are analyzed necessary conditions under which non-classical/nonlinear distribution of temperature throughout the bilayer thickness and size-effects are observed.
主讲人简介：
Prof. Vladimir Sladek received the degree RNDr. (Dr. Rer. Nat.) in Physics from the Comenius University, Bratislava, Slovakia; the PhD and DrSc degrees in Applied mechanics from the Slovak Academy of Sciences. From 1981 he is research fellow at the Institute of Construction and Architecture, Slovak Academy of Sciences where he is now a senior researcher. He is interested in the computational mechanics with applications to mechanics of solids and fracture mechanics including multi-field problems. His main contribution belongs to the development of the Boundary element method (BEM), Regularization techniques in BEM, and Mesh-free methods. Recently he is interested in higher-grade continuum modelling. His teaching activities in recent two decades were oriented on applied mathematics and computational mechanics at the Slovak Technical University in Bratislava, Slovakia. He received several fellowships from abroad (Cornell Univ., USA; Shinshu Univ., Japan; Wessex Inst. of Technol., U.K.; UCLA, USA, Univ. of Siegen, Germany). His research results have been recognized several times by awarding the Slovak Academy Prize, Prize of Slovak Literary Agency, Plaque of Aurel Stodola. He is a Member of Learned Society of Slovak Academy of Sciences; Fellow of the Wessex Institute, UK; Distinguish Fellow ICCES; Editor of Int. Jour. Eng. Analysis with Boundary Elements and member of the Editorial Boards of several international journals.
