The finite element method is a powerful tool even for non-linear materials’ modeling. But commercial solutions are limited and many novel materials do not follow standard constitutive equations on a macroscopic scale. Thus, is it required that new constitutive equations are implemented into the finite element code. However, it is not sufficient to simply implement only the equations but also an appropriate integration algorithm for the constitutive equation must be provided. This book is restricted to one-dimensional plasticity in order to reduce and facilitate the mathematical formalism and theory and to concentrate on the basic ideas of elasto-plastic finite element procedures. A comprehensive set of completely solved problems is designed for the thorough understand of the presented theory. After working with this new book and reviewing the provided solved and supplementary problems, it should be much easier to study and understand the advanced theory and the respective text books.
Author: Andreas Öchsner,Resam MakvandiPublish On: 2018-07-03
An Introduction Based on the Computer Algebra System Maxima
Author: Andreas Öchsner,Resam Makvandi
This book is intended as an essential study aid for the finite element method. Based on the free computer algebra system Maxima, the authors offer routines for symbolically or numerically solving problems in the context of plane truss and frame structures, allowing readers to check classical ‘hand calculations’ on the one hand and to understand the computer implementation of the method on the other. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler–Bernoulli and Timoshenko beams, and their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework, and the resulting matrix equations can be displayed with all components and not merely in the form of a symbolic representation. In addition, the use of a computer algebra system and the incorporated functions, e.g. for equation solving, allows readers to focus more on the methodology of the finite element method and not on standard procedures.
Author: Michael Trapp,Andreas ÖchsnerPublish On: 2018-03-06
A Fortran-Based Introduction
Author: Michael Trapp,Andreas Öchsner
This volume demonstrates the use of FORTRAN for numerical computing in the context of the finite element method. FORTRAN is still an important programming language for computational mechanics and all classical finite element codes are written in this language, some of them even offer an interface to link user-code to the main program. This feature is especially important for the development and investigation of new engineering structures or materials. Thus, this volume gives a simple introduction to programming of elasto-plastic material behavior, which is, for example, the prerequisite for implementing new constitutive laws into a commercial finite element program.
Author: Andreas Öchsner,Resam MakvandiPublish On: 2019-05-21
Theory and Routines for Rods and Beams
Author: Andreas Öchsner,Resam Makvandi
This book provides a study aid on the finite element method. Based on the free computer algebra system “Maxima”, it presents routines to symbolically or numerically solve problems in the context of plane truss and frame structures. This allows readers to not only check classical “hand calculations” but also understand the computer implementation of the method. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler–Bernoulli and Timoshenko beams as well as their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework and the resulting matrix equations can still be displayed with all components, and not only in a symbolic representation. The use of a computer algebra system and the incorporated functions, e.g. for equation solving, highlights the methodology of the finite element method rather than standard procedures. The book is based on the Springer Brief “Finite Elements for Truss and Frame Structures” (978-3-319-94940-6) by the same authors.
The certification of the structural integrity of buildings, bridges, and mechanical components is one of the main goals of engineers. For civil engineers especially, understanding the tools available for infrastructure analysis is an essential part of designing, constructing, and maintaining safe and reliable structures. Fracture and Damage Mechanics for Structural Engineering of Frames: State-of-the-Art Industrial Applications outlines the latest computational tools, models, and methodologies surrounding the analysis of wall and frame load support and resilience. Emphasizing best practices in computational simulation for civil engineering applications, this reference work is invaluable to postgraduate students, academicians, and engineers in the field.
Integrated manufacturing of lightweight components is of increasing importance for production engineering in today's industrial climate. Due to the market's need for high geometrical flexibility, combined with small batch sizes and short production cycles, the requirements of customers are becoming increasingly stringent.
Author: Ephraim Suhir,Y.C. Lee,C.P. WongPublish On: 2007-05-26
Volume I Materials Physics - Materials Mechanics. Volume II Physical Design - Reliability and Packaging
Author: Ephraim Suhir,Y.C. Lee,C.P. Wong
Publisher: Springer Science & Business Media
This handbook provides the most comprehensive, up-to-date and easy-to-apply information on the physics, mechanics, reliability and packaging of micro- and opto-electronic materials. It details their assemblies, structures and systems, and each chapter contains a summary of the state-of-the-art in a particular field. The book provides practical recommendations on how to apply current knowledge and technology to design and manufacture. It further describes how to operate a viable, reliable and cost-effective electronic component or photonic device, and how to make such a device into a successful commercial product.
Author: P. Benson Shing,Tada-aki TanabePublish On: 2001-01-01
Author: P. Benson Shing,Tada-aki Tanabe
Publisher: ASCE Publications
Proceedings of the U.S.?Japan Seminar on Post-Peak Behavior of Reinforced Concrete Structures Subjected to Seismic Loads: Recent Advances and Challenges on Analysis and Design, held in Tokyo and Lake Yamanaka, Japan, October 25-29, 1999. Sponsored by the National Science Foundation, U.S.A.; Japan Society for the Promotion of Science; Japan Concrete Institute. This collection presents the latest ideas and findings on the inelastic behavior of reinforced concrete (RC) structures from the analysis and design standpoints. These papers discuss state-of-the-art concrete material models and analysis methods that can be used to simulate and understand the inelastic behavior of RC structures, as well as design issues that can improve the seismic performance of these structures. Topics include modeling of concrete behavior; modeling of RC structures (finite element approach and macro-element approach); and experimental studies, analysis, and design issues.
Author: W.P. Shen,Jin Quan XuPublish On: 2004-10-15
Author: W.P. Shen,Jin Quan Xu
Publisher: Trans Tech Publications Ltd
Volume is indexed by Thomson Reuters CPCI-S (WoS). These proceedings comprise the 192 papers which were presented at the Seventh Asia-Pacific Symposium on Engineering Plasticity and Its applications (AEPA2004), held on the 22nd to 26th September 2004 at Shanghai Jiaotong University, P.R.China.