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Nonlinear Continuum Mechanics For Finite Element Analysis

Author: Javier Bonet
Publisher: Cambridge University Press
ISBN: 9781139467544
Size: 55.60 MB
Format: PDF, ePub, Docs
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Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.

Worked Examples In Nonlinear Continuum Mechanics For Finite Element Analysis

Author: Javier Bonet
Publisher: Cambridge University Press
ISBN: 1139561308
Size: 62.58 MB
Format: PDF, ePub
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Many processes in materials science and engineering, such as the load deformation behaviour of certain structures, exhibit nonlinear characteristics. The computer simulation of such processes therefore requires a deep understanding of both the theoretical aspects of nonlinearity and the associated computational techniques. This book provides a complete set of exercises and solutions in the field of theoretical and computational nonlinear continuum mechanics and is the perfect companion to Nonlinear Continuum Mechanics for Finite Element Analysis, where the authors set out the theoretical foundations of the subject. It employs notation consistent with the theory book and serves as a great resource to students, researchers and those in industry interested in gaining confidence by practising through examples. Instructors of the subject will also find the book indispensable in aiding student learning.

Nichtlineare Finite Elemente Analyse Von Festk Rpern Und Strukturen

Author: René de Borst
Publisher: John Wiley & Sons
ISBN: 3527678026
Size: 23.68 MB
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Echte Ingenieursprobleme sind intrinsisch nichtlinear. Kennnisse der nichtlinearen Finiten-Elemente-Analyse sind für Maschinenbauer, Bauingenieure und Werkstofftechniker daher unabdingbar. Mit ihrer Hilfe lassen sich mechanische Festigkeitsberechnungen durchführen, zeit- und kostenintensive Tests bei der Produktentwicklung werden so reduziert. Didaktisch schlüssig vom Modell und dessen theoretischer Durchdringung bis zum Algorithmus und dessen praktischer Implementierung bietet dieses Buch eine Einführung in die nichtlineare Finite-Elemente-Analyse ? leicht zugänglich, kompakt und auf die technische Ausrichtung fokussiert: - mathematische und kontinuumsmechanische Grundlagen, Lösungstechniken für nichtlineare Probleme in der statischen und dynamischen Analyse - erste Einblicke in geometrische Nichtlinearitäten - Schädigung, Plastizität und zeitabhängige Nichtlinearitäten - Plastizität von Balken, Bögen und Schalen - elastische und elastoplastische Finite-Elemente-Analyse großer Dehnungen - Einführung in moderne Diskretisierungskonzepte Hilfreich fürs Bestehen von Prüfungen sind die Beispiele im frei erhältlichen Finite-Elemente-Code auf Python?-Basis. Das dazugehörige Hintergrundwissen macht den User mit den Möglichkeiten und Grenzen moderner Finite-Elemente-Software vertraut. Der ideale Einstieg in die nichtlineare Finite-Elemente-Analyse für Studenten und Praktiker ? mit so viel Mathematik wie nötig und so vielen realen Ingenieursproblemen wie möglich. Mit Beispielen im Finite-Elemente-Code auf Python?-Basis unter: www.wiley-vch.de

Nichtlineare Finite Element Methoden

Author: Peter Wriggers
Publisher: Springer-Verlag
ISBN: 3642568653
Size: 37.42 MB
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Die Anwendung der Finite-Element-Methode auf nichtlineare technische Probleme hat in den letzten Jahren - auch wegen der stark angestiegenen Rechnerleistung - erheblich zugenommen. Bei nichtlinearen numerischen Simulationen sind verschiedene Aspekte zu berücksichtigen, die das Wissen und Verstehen der theoretischen Grundlagen, der zugehörigen Elementformulierungen sowie der Algorithmen zur Lösung der nichtlinearen Gleichungen voraussetzen. Hierzu soll dieses Buch beitragen, wobei die Bandbreite nichtlinearer Finite-Element-Analysen im Bereich der Festkörpermechanik abgedeckt wird. Das Buch wendet sich an Studierende des Ingenieurwesens im Hauptstudium, an Doktoranden aber auch an praktisch tätige Ingenieure, die Hintergrundwissen im Bereich der Finite-Element-Methode erlangen möchten.

Nonlinear Continuum Mechanics For Finite Element Analysis South Asian Edition

Author: Javier Bonet
Publisher:
ISBN: 9781107511798
Size: 61.67 MB
Format: PDF
View: 7019
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Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in the new edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.

Finite Elemente Methoden

Author: Klaus-Jürgen Bathe
Publisher: DrMaster Publications
ISBN: 9783540668060
Size: 31.34 MB
Format: PDF, Docs
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Dieses Lehr- und Handbuch behandelt sowohl die elementaren Konzepte als auch die fortgeschrittenen und zukunftsweisenden linearen und nichtlinearen FE-Methoden in Statik, Dynamik, Festkörper- und Fluidmechanik. Es wird sowohl der physikalische als auch der mathematische Hintergrund der Prozeduren ausführlich und verständlich beschrieben. Das Werk enthält eine Vielzahl von ausgearbeiteten Beispielen, Rechnerübungen und Programmlisten. Als Übersetzung eines erfolgreichen amerikanischen Lehrbuchs hat es sich in zwei Auflagen auch bei den deutschsprachigen Ingenieuren etabliert. Die umfangreichen Änderungen gegenüber der Vorauflage innerhalb aller Kapitel - vor allem aber der fortgeschrittenen - spiegeln die rasche Entwicklung innerhalb des letzten Jahrzehnts auf diesem Gebiet wieder. TOC:Eine Einführung in den Gebrauch von Finite-Elemente-Verfahren.-Vektoren, Matrizen und Tensoren.-Einige Grundbegriffe ingenieurwissenschaftlicher Berechnungen.-Formulierung der Methode der finiten Elemente.-Formulierung und Berechnung von isoparametrischen Finite-Elemente-Matrizen.-Nichtlineare Finite-Elemente-Berechnungen in der Festkörper- und Strukturmechanik.-Finite-Elemente-Berechnungen von Wärmeübertragungs- und Feldproblemen.-Lösung von Gleichgewichtsbeziehungen in statischen Berechnungen.-Lösung von Bewegungsgleichungen in kinetischen Berechnungen.-Vorbemerkungen zur Lösung von Eigenproblemen.-Lösungsverfahren für Eigenprobleme.-Implementierung der Finite-Elemente-Methode.

Nonlinear Continuum Mechanics And Large Inelastic Deformations

Author: Yuriy I. Dimitrienko
Publisher: Springer Science & Business Media
ISBN: 9789400700345
Size: 61.19 MB
Format: PDF, Kindle
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The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in systematized form. The focus of the book is a new approach to the formulation of the constitutive equations for elastic and inelastic continua under large deformation. This new approach is based on using energetic and quasi-energetic couples of stress and deformation tensors. This approach leads to a unified treatment of large, anisotropic elastic, viscoelastic, and plastic deformations. The author analyses classical problems, including some involving nonlinear wave propagation, using different models for continua under large deformation, and shows how different models lead to different results. The analysis is accompanied by experimental data and detailed numerical results for rubber, the ground, alloys, etc. The book will be an invaluable text for graduate students and researchers in solid mechanics, mechanical engineering, applied mathematics, physics and crystallography, as also for scientists developing advanced materials.

Nonlinear Solid Mechanics For Finite Element Analysis Statics

Author: Javier Bonet
Publisher: Cambridge University Press
ISBN: 131668816X
Size: 30.21 MB
Format: PDF, ePub, Mobi
View: 6873
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Designing engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, which requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both the nonlinear solid mechanics and the associated finite element techniques together, the authors provide, in the first of two books in this series, a complete, clear, and unified treatment of the static aspects of nonlinear solid mechanics. Alongside a range of worked examples and exercises are user instructions, program descriptions, and examples for the FLagSHyP MATLAB computer implementation, for which the source code is available online. While this book is designed to complement postgraduate courses, it is also relevant to those in industry requiring an appreciation of the way their computer simulation programs work.

An Introduction To Nonlinear Finite Element Analysis

Author: Junuthula Narasimha Reddy
Publisher: Oxford University Press, USA
ISBN: 0199641757
Size: 18.95 MB
Format: PDF, ePub
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The second edition of An Introduction to Nonlinear Finite Element Analysis offers an easy-to-understand treatment of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. Additional explanations, examples, and problems have been added to all chapters. The book may be used as a textbook for an advanced course (after a first course) on the finite element method orthe first course on nonlinear finite element analysis. A solutions manual is available on request from the publisher to instructors who adopt the book as a textbook for a course.

Computational Continuum Mechanics

Author: Ahmed A. Shabana
Publisher: Cambridge University Press
ISBN: 1139505424
Size: 14.94 MB
Format: PDF
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This second edition presents the theory of continuum mechanics using computational methods. The text covers a broad range of topics including general problems of large rotation and large deformations and the development and limitations of finite element formulations in solving such problems. Dr Shabana introduces theories on motion kinematics, strain, forces and stresses and goes on to discuss linear and nonlinear constitutive equations, including viscoelastic and plastic constitutive models. General nonlinear continuum mechanics theory is used to develop small and large finite element formulations which correctly describe rigid body motion for use in engineering applications. This second edition features a new chapter that focuses on computational geometry and finite element analysis. This book is ideal for graduate and undergraduate students, professionals and researchers who are interested in continuum mechanics.