Ted Belytschko, a longtime Northwestern University mechanical engineering professor whose virtual prototyping advances now are routinely used in designing safer cars, died Sept. 15.
Belytschko was the Robert R. McCormick Institute Professor and Walter P. Murphy Professor Emeritus of Mechanical Engineering and Civil and Environmental Engineering in the McCormick School of Engineering and Applied Science.
A member of Northwestern’s faculty since 1977, Belytschko was a central figure in the McCormick School and an internationally renowned researcher who made major contributions to the field of computational structural mechanics.
“Ted exuded technical excellence,” McCormick Dean Julio M. Ottino said. “His work shaped an entire industry and legions of students.”
One of the most cited researchers in engineering science, Belytschko developed explicit finite element methods that are widely used in crashworthiness analysis and virtual prototyping in the auto industry. He received numerous honors, including membership in the U.S. National Academy of Engineering, U.S. National Academy of Science and the American Academy of Arts and Sciences.
After receiving his Ph.D. in mechanics from the Illinois Institute of Technology in 1968, Belytschko joined the University of Illinois at Chicago, where he was a favorite among students. Wing Kam Liu, who is now a Walter P. Murphy Professor of Mechanical Engineering at McCormick, was one of his undergraduates. The two met in 1973 and became lifelong friends and collaborators.
“Ted and I had a great time during many summers while testing the theories of the computational mechanics of windsurfing on Lake Michigan,” Liu said. “His research and teaching greatly influenced the modeling and simulation world in such a way that we call him the ‘father of simulation-driven engineering.’”
At Northwestern, Belytschko was named a McCormick Distinguished Professor in 2003, and he served as chair of the mechanical engineering department from 1997 to 2002. Students and colleagues enjoyed his sense of humor and admired his ability to explain complex problems in an easy-to-understand manner. He served as a role model for the Northwestern community.
“Ted was my department chair when I arrived at Northwestern, and he was my model for a successful academic,” said Kevin Lynch, chair of the department of mechanical engineering. “He was a great mentor, colleague and friend. His passing is a deep loss for our department.”
Many techniques that Belytschko developed throughout his career changed the way engineers design structures. Some of his greatest contributions to the field of mechanical engineering were the explicit finite element methods that have been widely used in large deformation analysis and virtual prototyping. An early application for these methods was in car crash analysis. Instead of completing physical crash tests on cars, many designers now use Belytschko’s simulations for virtually examining crashes.
“Ted was a titan in the field of mechanics,” Lynch said. “His life’s work produced ideas, technology and people that have defined the practice of computational mechanics.”
Beyond his contributions to computer simulations of mechanical events, Belytschko took the most pride in his students. He delighted in watching his students learn and grow.
In a 2013 video produced by the professional association ASME, Belytschko said, “The most important thing is to give a lot of freedom because it’s remarkable what these young people can do on their own. And if I hadn’t let them develop on their own, I don’t think I would have the reputation I have. So much of my reputation rests on the contributions of my students.”
He was a founding director of the U.S. Association for Computational Mechanics, and, in 2012, the association named a medal in his honor. The ASME Applied Mathematics Award also was renamed the ASME Ted Belytschko Applied Mechanics Division Award in November 2007. Belytschko also served as editor-in-chief of the International Journal for Numerical Methods in Engineering and coauthor of the books “Nonlinear Finite Elements for Continua” and “Structures and A First Course in Finite Elements.”
In 2013 the McCormick School of Engineering created a lecture series in honor of Belytschko. The Ted Belytschko Lecture recognizes the longtime faculty member for his impact on the mechanical engineering and civil and environmental engineering departments. The series brings a prominent speaker to the University each year.
Visitation for Ted Belytschko will be held from 3 to 9 p.m. Friday, Sept. 19, at the Donnellan Funeral Home, 10045 Skokie Blvd. in Skokie, Illinois. The funeral service will take place at 10 a.m. Saturday, Sept. 20, also at the Donnellan Funeral Home.
The analysis of plates and shells under static and dynamic loads is of greatinterest to scientists and engineers both from the theoretical and the practical viewpoint. The Boun- dary Element Method (BEM) has some distinct advantages over domain techniques such as the Finite Difference Method (FDM) and the Finite Element Method (FEM) for a wide class of structuralanalysis problems. This is the first book to deal specifically with the analysis of plates and shells by the BEM and to cover all aspects of their behaviour, and combi- nes tutorial and state-of-the-art articles on the BEM as ap- plied to plates and shells. It aims to inform scientists and engineers about the use and the advantages of this techni- que, the most recent developments in the field and the per- tinent literature for further study.
Code:
***************************************
Content of this section is hidden, You must be registered and activate your account to see this content. See this link to read how you can remove this limitation:
This book introduces designers to the theoretical aspects of the behaviour of thin-walled structures, and then shows how some codes of practice have incorporated this theory and modified it to be more digestible in a design office.
Code:
***************************************
Content of this section is hidden, You must be registered and activate your account to see this content. See this link to read how you can remove this limitation:
Optimal analysis is defined as an analysis that creates and uses sparse, well-structured and well-conditioned matrices. The focus is on efficient methods for eigensolution of matrices involved in static, dynamic and stability analyses of symmetric and regular structures, or those general structures containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models.
Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented.
The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms.
The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks.
Code:
***************************************
Content of this section is hidden, You must be registered and activate your account to see this content. See this link to read how you can remove this limitation:
This second edition of the highly acclaimed and successful first edition, deals primarily with the analysis of structural engineering systems, with applicable methods to other types of structures. The concepts presented in the book are not only relevant to skeletal structures but can equally be used for the analysis of other systems such as hydraulic and electrical networks. The book has been substantially revised to include recent developments and applications of the algebraic graph theory and matroids.
Code:
***************************************
Content of this section is hidden, You must be registered and activate your account to see this content. See this link to read how you can remove this limitation:
Engineers and researchers concerned with the problems of thin-walled structures have a choice of books on shell theory. However, the almost exclusive concern of these books are shells designed for maximum strength and stiffness. Shells which are designed for maximum elastic displacements (flexible shells) have been used in industry for decades, but are largely ignored in shell-theory books due to tradition and to the wide variety of shapes and problems involved. This book presents the general theory of elastic shells and the deformation inherent in flexibility. For the analysis of stability of the two-dimensionally variable large elastic deformations, a local approach is developed. The specialized theory is then applied to the basic problems of flexible shells - tubes, open-section beams and shells of revolution. The results of parametric studies are presented in numerous graphs.
Code:
***************************************
Content of this section is hidden, You must be registered and activate your account to see this content. See this link to read how you can remove this limitation:
***************************************
Content of this section is hidden, You must be registered and activate your account to see this content. See this link to read how you can remove this limitation:
The necessity to save steel leads to a marked tendency towards thin-walled structures. Such structures are made of thin plating, the behaviour - and, of course, design - of which is very significantly affected by stability phenomena. In fact, with up-to-date thin-walled steel plated structures, it is very frequently the point of view of stability that governs the design. So it is not astonishing that the attention of a great number of research teams in various parts of the world has been for a good many years directed to investigations into numerous aspects of the buckling behaviour of steel plated structures. However, the current problems of buckling research, which require to account for the effect of initial imperfections, post-buckled behaviour and plastic reserve of strength (this leading in theoretical research to the necessity to solve boundary value problems of geometrically and physically non-linear partial differential equations, and in experimental studies to conduct experiments on full-size test girders) are very complex and time-consuming. Then it is beyond the means of one investigator, or even of one research team, to deal successfully with such problems and, conse quently, effective cooperation is indispensable. This was also the reason for the initiation of a fruitful collaboration between the first author of this book (Assoc. Prof. J. Djubek, D. Sc. ) and the third author (Assoc. Prof. M. Skaloud, D. Sc.
Code:
***************************************
Content of this section is hidden, You must be registered and activate your account to see this content. See this link to read how you can remove this limitation:
Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.
Code:
***************************************
Content of this section is hidden, You must be registered and activate your account to see this content. See this link to read how you can remove this limitation:
Guide Specifications for Strength Design of Truss Bridges (Load Factor Design), 1985
Size: 600 KB | Format:PDF | Quality:Scanner | Publisher: American Association of State Highway and Transportation Officials (AASHTO) | Year: 1986 | Pages: 9 | ISBN: 9781560512127, 1560512121
These Guide Specifications apply to truss spans over 500 feet long. Unless amended herein (amended to 1986) the existing provisions of the AASHTO Standard Specifications for Highway Bridges apply to truss bridge superstructures designed by the Strength Design Method. The following areas are covered: load factors, truss members, secondary stresses, perforated cover plates and lacing bars, half through spans; net section of tensions members; computation of member capacity; compression members - thickness of metal; eyebar pins; and gusset plates.
Code:
***************************************
Content of this section is hidden, You must be registered and activate your account to see this content. See this link to read how you can remove this limitation:
***************************************
Content of this section is hidden, You must be registered and activate your account to see this content. See this link to read how you can remove this limitation:
![[Image: 98216989402319519983_thumb.jpg]](https://pic.civilea.com/images/98216989402319519983_thumb.jpg)
![[Image: 86662084489415857682.jpg]](https://pic.civilea.com/images/86662084489415857682.jpg)
![[Image: info.png]](http://postgen.civilea.com/icon/info.png){kind=icon}
![[Image: download.png]](http://postgen.civilea.com/icon/download.png){kind=icon}
![[Image: 12890493124681491752.jpg]](https://pic.civilea.com/images/12890493124681491752.jpg)
![[Image: 29739813414744121837.jpg]](https://pic.civilea.com/images/29739813414744121837.jpg)
![[Image: 56457035181572934624.jpg]](https://pic.civilea.com/images/56457035181572934624.jpg)
![[Image: 90146837042549233307.jpg]](https://pic.civilea.com/images/90146837042549233307.jpg)
![[Image: 59186484948821487112.jpg]](https://pic.civilea.com/images/59186484948821487112.jpg)
![[Image: 21249165459445421106.jpg]](https://pic.civilea.com/images/21249165459445421106.jpg)
![[Image: 72630797590288260492.jpg]](https://pic.civilea.com/images/72630797590288260492.jpg)
![[Image: 79830528997044101534.jpg]](https://pic.civilea.com/images/79830528997044101534.jpg)
![[Image: password.png]](http://postgen.civilea.com/icon/password.png){kind=icon}