报告人：Xin-Lin Gao Southern Methodist University, Dallas, TX, USA
报告时间：2015年6月19日（周五）上午10:00-11:30
报告地点：研究生院203会议室
报告简介：Mindlin’s plate theory accounts for rotatory inertia and transverse shear deformations. But it is based on classical elasticity and cannot interpret size effects observed in bending tests at micron and nanometer scales. Hence, this plate theory needs to be extended by using higher-order continuum theories that contain material length scale parameters and are capable of explaining various size effects. In response to this need, a modified couple stress theory is used in the current work to develop new plate models of the Mindlin type.
The governing equations and boundary conditions for the Mindlin plate are obtained in general forms by using a variational formulation based on Hamilton’s principle. The new model contains a material length scale parameter and can capture the size effects, unlike the classical Mindlin plate model. In addition, both stretching and bending of the plate are considered in the formulation. The current non-classical plate model reduces to the Mindlin plate model based on classical elasticity when the material length scale parameter is set to be zero. A model for axisymmetric Mindlin plates is also presented.
To illustrate the newly developed Mindlin plate models, a simply supported rectangular plate subjected to a concentrated force and an axisymmetric clamped plate loaded by a uniformly distributed normal force are analyzed by directly applying the general forms of the governing equations and boundary conditions. The numerical results reveal that the deflection and rotation predicted by the new models are smaller than those given by the classical Mindlin plate model, while the natural frequency of the plate predicted by the former is higher than that by the latter. In addition, it is found that the difference between the current and the classical models is significantly large when the plate is very thin but is diminishing as the plate thickness increases, thereby capturing the size effects at the micron scale.
报告人简介 :
Dr. Xin-Lin Gao is currently a professor of mechanical engineering at Southern Methodist University.
His other experience includes teaching at University of Texas at Dallas for three years, at Texas A&M University for seven years, and at Michigan Technological University for four years. In addition, he was a visiting professor at University of Paris-East in May-June 2010, and has been a visiting chair professor at East China University of Science and Technology, Shanghai, China since September 2010.
He received an M.Sc. degree in Engineering Mechanics in May 1997 and a Ph.D. degree in Mechanical Engineering (with a minor in Mathematics) in May 1998, both from the University of Wisconsin-Madison.
He has conducted research in a variety of areas in mechanics and materials and has authored 104 journal papers, 2 book chapters, and 117 conference and other publications.
He has been a reviewer for 98 journals, 9 publishers and 14 funding organizations and has organized 22 symposia at major national and international technical conferences.
He has been an editor/guest editor of one book, proceedings of one conference, and four special journal issues. He currently serves on the editorial boards of five journals.
He was elected an ASME Fellow in January 2011.
