報告一題目：Some Analytical Solutions in Multilayered magneto-electro-elastic or Quasicrystal Solids

時間：3月28日(周三)13:00-14:00

地點：明故宮校區A9-506

報告二題目：Mechanics in layered systems

時間：3月28日(周三) 16:00-17:00

地點：明故宮校區A9-506

報告人：Prof. Ernian Pan (The University of Akron)

主辦單位 : 國際合作處、科協、機械結構力學及控制國家重點實驗室、航空宇航學院

報告一摘要：

Analytical solutions are developed to understand the static and dynamic behavior of layered composite plates under simply supported lateral boundary conditions. Composite materials are composed of two or more constituent materials with significantly different properties that can be tuned to provide better engineering properties. Materials with coupling properties can be utilized in composites so that the different phases can interact and create an optimal response. Quasicrystal (QC) and magneto-electro-elastic (MEE) materials exhibit coupling between different phases and are considered in this research. When analyzing QCs, classical linear elasticity theory is extended to higher dimensions to include the phason displacement fields of QCs. At the nanoscale, quantum size effects significantly alter the mechanical properties of QC and MEE materials and the size effect cannot be neglected. Thus, classical linear elasticity is inapplicable and Eringen’s nonlocal elasticity is extended to include the multiphase coupling. To obtain the three-dimensional response, the pseudo-Stroh formulation and propagator matrix method are utilized. The derived solutions for QC and MEE materials can be reduced to the case of a homogenous elastic case for verification. Composite plates consisting of a piezoelectric phase and a piezomagnetic phase show magnetoelectric coupling, which does not exist in either constituent, and are investigated in this research. The various static and dynamic analyses demonstrate interesting features associated with the stacking sequence, boundary conditions, loading frequency, nonlocal effect, and phase coupling in the layered composite plate. The presented numerical results can serve as a benchmark for various numerical methods and can be used to check the accuracy of existing or any future plate theories.

報告二摘要：

Various mathematical formulations for handling layered systems will be first introduced. They will then be applied to a couple of science and engineering problems. These include the layered pavement responses (forward and inverse), indentation over layered composites, and dynamic soil-structure interactions

報告人簡介：

Ernian Pan received his Ph.D. of Dept. of Civil Engineering/CIRES in University of Colorado at Boulder in 1993. He has been invited as reviewers of more than 100 different journals. His significant research contributions are mainly lie in the fields like An Elegant and Powerful Numerical Conformal Mapping in Anisotropic Elasticity,  Three-Dimensional Green’s Functions in Anisotropic (Piezoelectric and Magneto-electroelastic) Half Space and Bimaterial Space, etc.