报告人：J.N. Reddy，美国德州农工大学教授，工程院院士
地点：土木工程楼520会议室
报告题目：ON NON-LOCAL AND NON-CLASSICAL CONTINUUM MECHANICS THEORIES: AN OVERVIEW
Structural continuum theories require a proper treatment of the kinematic, kinetic, and constitutive issues accounting for possible sources of non-local and non-classical continuum mechanics concepts and solving associated boundary value problems. In the case of structural mechanics, there is a wide range of theories, from higher gradient to truly nonlocal; however, there is a need for physical explanations and experimental observations that systematically corroborate these theories and provide physical interpretations of the parameters introduced in these theories. In this lecture, an overview of the author’s recent research with many colleagues on nonlocal elasticity and couple stress theories in formulation of the governing equations of functionally graded material beams and plates will be presented. In addition to Eringen’s nonlocal elasticity (1972), two different nonlinear gradient elasticity theories that account for (a) geometric nonlinearity and (b) microstructure-dependent size effects are revisited to establish the connection between them. The first theory is based on modified couple stress theory of Mindlin (1963) and the second one is based on Srinivasa-Reddy gradient elasticity theory (2013). These two theories are used to derive the governing equations of beams and plates. In addition, the graph-based finite element framework (GraFEA) suitable for the study of damage in brittle materials will be discussed. GraFEA stems from conventional finite element method (FEM) by transforming it to a network representation based on the study by Reddy and Srinivasa (2015) and advanced by Khodabakhshi, Reddy, and Srinivasa (2016).
CV:
Dr. Reddy is a Distinguished Professor, Regents’ Professor, and inaugural holder of the Oscar S. Wyatt Endowed Chair in Mechanical Engineering at Texas A&M University, College Station, Texas. Dr. Reddy earned a Ph.D. in Engineering Mechanics in 1974 from University of Alabama in Huntsville. He worked as a Post-Doctoral Fellow in Texas Institute for Computational Mechanics (TICOM) at the University of Texas at Austin, Research Scientist for Lockheed Missiles and Space Company, Huntsville, during l974-75, and taught at the University of Oklahoma from 1975 to 1980, Virginia Polytechnic Institute & State University from 1980 to 1992, and at Texas A&M University from 1992.
Dr. Reddy, an ISI highly-cited researcher, is known for his significant contributions to the field of applied mechanics through the authorship of over 600 journal papers and 20 textbooks. Dr. Reddy has received numerous honors and awards. He is an elected member of the US National Academy of Engineering and a Foreign Fellow of the Canadian Academy of Engineering and the Indian National Academy of Engineering. Also, he received the Prager Medal of the Society of Engineering Science, the 2016 ASME Medal from the American Society of Mechanical Engineers, and the 2017 John von Neumann Medal from the US Association for Computational Mechanics.
发布人：柯燎亮（力学系）