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 This textbook presents finite element methods using exclusively  one-dimensional elements. The aim is to present the complex methodology in  an easily understandable but mathematically correct fashion. The approach of  one-dimensional elements enables the reader to focus on the understanding of  the principles of basic and advanced mechanical problems. The reader easily  understands the assumptions and limitations of mechanical modeling as well  as the underlying physics without struggling with complex mathematics. But  although the description is easy it remains scientifically correct.   The approach using only one-dimensional elements covers not only standard  problems but allows also for advanced topics like plasticity or the  mechanics of composite materials. Many examples illustrate the concepts and  problems at the end of every chapter help to familiarize with the topics.

Physics -- Textbooks. --- Finite element method --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Finite element method. --- Engineering mathematics. --- Engineering --- Engineering analysis --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Mathematics --- Engineering. --- Computer mathematics. --- Structural mechanics. --- Mechanical engineering. --- Structural Mechanics. --- Computational Mathematics and Numerical Analysis. --- Mechanical Engineering. --- Mathematical analysis --- Numerical analysis --- Isogeometric analysis --- Mechanics. --- Mechanics, Applied. --- Computer science --- Solid Mechanics. --- Mathematics. --- Engineering, Mechanical --- Machinery --- Steam engineering --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Applied mechanics --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Computer science -- Mathematics.

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 This textbook presents finite element methods using exclusively  one-dimensional elements. The aim is to present the complex methodology in  an easily understandable but mathematically correct fashion. The approach of  one-dimensional elements enables the reader to focus on the understanding of  the principles of basic and advanced mechanical problems. The reader easily  understands the assumptions and limitations of mechanical modeling as well  as the underlying physics without struggling with complex mathematics. But  although the description is easy it remains scientifically correct.   The approach using only one-dimensional elements covers not only standard  problems but allows also for advanced topics like plasticity or the  mechanics of composite materials. Many examples illustrate the concepts and  problems at the end of every chapter help to familiarize with the topics.

Mathematics --- Applied physical engineering --- Engineering sciences. Technology --- Computer. Automation --- composieten --- informatica --- externe fixatie (geneeskunde --- wiskunde --- ingenieurswetenschappen --- mechanica

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Die Finite-Elemente-Methode wird in dieser Einführung in ihrer Komplexität auf eindimensionale Elemente heruntergebrochen. Somit bleibt die mathematische Beschreibung weitgehend einfach und überschaubar. Das Augenmerk liegt in jedem Kapitel auf der Erläuterung der Methode und deren Verständnis. Der Leser lernt, die Annahmen und Ableitungen bei verschiedenen physikalischen Problemstellungen in der Strukturmechanik zu verstehen und Möglichkeiten und Grenzen der Methode der Finiten Elemente kritisch zu beurteilen. Diese Herangehensweise ermöglicht das methodische Verständnis wichtiger Themenbereiche, wie z.B. Plastizität oder Verbundwerkstoffe, und gewährleistet einen einfachen Einstieg in weiterführende Anwendungsgebiete. Ausführliche durchgerechnete und kommentierte Beispiele und weiterführende Aufgaben mit Kurzlösung im Anhang unterstützen den Lernerfolg. In der zweiten Auflage dieses Lehrbuches wurden alle graphischen Darstellungen überarbeitet, die Wärmeleitung bei den Stabelementen ergänzt und Spezialelemente als neues Kapitel aufgenommen. Auch wurde das Prinzip der virtuellen Arbeiten zur Ableitung der Finite-Elemente-Hauptgleichung eingeführt.   Der Inhalt Einleitung - Motivationen zur Finite-Elemente-Methode - Stabelement - Torsionselement - Biegeelement - Allgemeines 1D-Element -  Ebene und räumliche Rahmenstrukturen - Balken mit Schubanteil - Balken aus Verbundmaterial - Nichtlineare Elastizität - Plastizität - Stabilität (Knickung) - Dynamik - Spezialelemente (Elastische Bettung - Unendliche Ausdehnung - Spannungssingularität). Die Zielgruppen Studierende des Maschinenbaus sowie Berechnungsingenieure in der Berufspraxis Die Autoren Prof. Dr.-Ing. Markus Merkel studierte Maschinenbau an der Universität Erlangen-Nürnberg und promovierte dort am Lehrstuhl für Technische Mechanik. Er ist seit 2004 Professor an der Hochschule Aalen und vertritt die Finite-Elemente-Methode in der Lehre. Prof. Dr.-Ing. Andreas Öchsner studierte Luft- und Raumfahrttechnik an der Universität Stuttgart und promovierte an der Universität Erlangen-Nürnberg. Er ist seit 2014 Professsor für Maschinenbau an der Griffith University in Australien und u.a. für die Ausbildung der Studierenden in der Finite-Elemente-Methode verantwortlich.

Mechanics. --- Mechanics, Applied. --- Engineering design. --- Applied mathematics. --- Engineering mathematics. --- Solid Mechanics. --- Engineering Design. --- Mathematical and Computational Engineering.

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In this introduction, the finite element method is broken down in its complexity to one-dimensional elements. Thus, the mathematical description remains largely simple and manageable. The emphasis in each chapter is on explaining the method and understanding it. Readers learn to understand the assumptions and derivations in various physical problems in structural mechanics and to critically evaluate the possibilities and limitations of the finite element method. This approach enables the methodical understanding of important topics, such as plasticity or composites, and ensures an easy entry into more advanced application areas. Detailed calculated and commented examples and further tasks with short solutions in the appendix support the learning success. In the third edition of this textbook, the basic concept for the treatment of the finite element method with one-dimensional problems has been retained. Additionally, thermoelasticity has been included, as well as numerous tasks with solutions supplemented. The content Introduction.- Motivation to the finite element method.- Beam element.- Analogies to the extension bar.- Bending element.- General 1D element.- Plane and spatial frame structures.- Beams with shear component.- Beams of composite material.- Nonlinear elasticity.- Plasticity.- Stability (buckling).- Dynamics.- Special elements.- Appendix. The target groups Students and computational engineers in professional practice The authors Prof. Dr.-Ing. Markus Merkel studied mechanical engineering at the University of Erlangen-Nuremberg and earned his doctorate there at the Chair of Engineering Mechanics. He has been a professor at Aalen University since 2004 and represents the finite element method in teaching. Prof. Dr.-Ing. Andreas Öchsner studied aerospace engineering at the University of Stuttgart and earned his doctorate at the University of Erlangen-Nuremberg. He has been a professor of mechanical engineering at Esslingen University of Applied Sciences since 2018 and is responsible, among other things, for training students in lightweight construction and structural simulation. This book is a translation of an original German edition. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation.

Mechanics, Applied. --- Solids. --- Engineering design. --- Solid Mechanics. --- Engineering Design. --- Finite element method. --- Engineering mathematics.

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The book on advanced structured materials is designed to facilitate teaching and informal discussion in a supportive and friendly environment. The book provides a forum for postgraduate students to present their research results and train their presentation and discussion skills. Furthermore, it allows for extensive discussion of current research being conducted in the wider area of advanced structured materials. Doing so, it builds a wider postgraduate community and offers networking opportunities for early career researchers. In addition to focused lectures, the book provides specialized teaching/overview lectures from experienced senior academics. The 2022 Postgraduate Seminar entitled "Advanced Structured Materials: Development - Manufacturing - Characterization - Applications" was held from February 28th till March 4th, 2022, in Malta. The book that presented postgraduate lectures had a strong focus on polymer mechanics, composite materials, and additive manufacturing.

Methodology of economics --- Macromolecules --- Materials sciences --- Applied physical engineering --- Engineering sciences. Technology --- Production management --- Business management --- Business economics --- Building materials. Building technology --- financieel management --- toegepaste mechanica --- productie --- materialen (technologie) --- ingenieurswetenschappen --- bouwmaterialen --- polymeren