Finite Element Methods are used for numerous engineering applications where numerical solutions of partial differential equations are needed. As computers can now deal with the millions of parameters used in these methods, automatic error estimation and automatic adaptation of the utilised method (according to this error estimation), has become a hot research topic. This text offers comprehensive coverage of this new field of automatic adaptation and error estimation, bringing together the work of eight outstanding researchers in this field who have completed a six year national research project within the German Science Foundation. The result is a state-of-the-art work in true reference style. Each chapter is self-contained and covers theoretical, algorithmic and software presentations as well as solved problems. A main feature consists of several carefully elaborated benchmarks of 2D- and 3D- applications. * First book to go beyond the Finite Element Method in itself * Covers material from a new research area * Presents benchmarks of 2D- and 3D- applications * Fits with the new trend for genetic strategies in engineering

Error-controlled Adaptive Finite Elements in Solid Mechanics

Science & Math

Wunderlich, Walter

Stein, E.

Wriggers, Peter

Rank, E.

Rannacher, R.

Schweizerhof, K.

Wendland, W.

Wittum, G.

Ramm, Ekkehard

Mathematics

wiley

Contact mechanics is a specialist area in engineering mechanics. Itdeals with non standard mechanics which frequently appear in realtechnical applications. Examples include the simulation of carcrashes, human joints, car tyres, rubber seals and metal formingprocesses. Modern numerical simulation methods are used to modelthese objects and their behaviour. Contact problems are an area of great technical importance inindustrial applications in mechanical and civil engineering,however only very few problems involving contact can be solvedanalytically. For most industrial applications, numerical methodshave to be applied since the contacting bodies have complexgeometries, undergo large deformations (including time dependentresponses) or are affected by other factors. The range ofapplications starts with relatively simple problems such asfoundations or bearings, and includes metal forming processes,rubber sealings, drilling problems, crash analysis of cars, andeven biomechanics, where human joints, implants or teeth are underconsideration. Although other numerical and analytical schemes canalso be used, this book concentrates mainly on finite elementtechniques for the treatment of contact problems, including newapproaches such as adaptive finite element methods. * At the cutting edge of an area of significant (and growing)interest in computational mechanics * Covers the theoretical background of simulations and discussesmodern numerical simulation methods * Relates to many engineering applications A valuable reference resource for graduate and postgraduatestudents, as well as engineers involved in numerical simulation inindustry (e.g. aeronautics, car and tyre design, biomechanics,metal forming).

Computational Contact Mechanics

History & Philosophy

The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. Some recent developments in representation theorems and differential forms are included. The last part of the book presents a detailed introduction to differential geometry of surfaces and curves which is based on&nbsp;tensor calculus. By solving numerous exercises, the reader is equipped to properly understand the theoretical background and derivations. Many solved problems are provided at the end of each chapter for in-depth learning. All derivations in this text are carried out line by line which will help the reader to understand the basic ideas. Each figure in the book includes descriptive text that corresponds with the theoretical derivations to facilitate rapid learning.

Tensor Calculus and Differential Geometry for Engineers: With Solved Exercises

Sahraee, Shahab

Springer

New finite elements are needed as well in research as in industry environments for thedevelopment of virtual prediction techniques. The design and implementation of novel finiteelements for specific purposes is a tedious and time consuming task, especially for nonlinearformulations. The automation of this process can help to speed up this processconsiderably since the generation of the final computer code can be accelerated by order ofseveral magnitudes.This book provides the reader with the required knowledge needed to employ modernautomatic tools like AceGen within solid mechanics in a successful way. It covers the rangefrom the theoretical background, algorithmic treatments to many different applications. Thebook is written for advanced students in the engineering field and for researchers ineducational and industrial environments.

Automation of Finite Element Methods

Korelc, Jože

Reference

Die Aufgabensammlung zur "Technischen Mechanik 3 (Kinetik)". Sie enthält die wichtigsten Formeln und 160 didaktisch gut aufgebaute, vollständig gelöste Aufgaben zur Technischen Mechanik 3. Besonderer Wert wird auf das Finden des Lösungsweges und das Erstellen der Grundgleichungen gelegt.  Behandelte Themen sind: Kinematik des Punktes - Kinetik des Massenpunktes - Bewegung eines Systems von Massenpunkten - Kinematik des starren Körpers - Stoßvorgänge - Schwingungen - Relativbewegung - Prinzipien der Mechanik - Hydrodynamik.

Formeln und Aufgaben zur Technischen Mechanik 3: Kinetik, Hydrodynamik (Springer-Lehrbuch) (German Edition)

Gross, Dietmar

Ehlers, Wolfgang

Foreign Language Study & Reference

Springer-Verlag Gmbh

This is the second edition of the valuable reference source for numerical simulations of contact mechanics suitable for many fields. These include civil engineering, car design, aeronautics, metal forming, or biomechanics. For this second edition, illustrative simplified examples and new discretisation schemes and adaptive procedures for coupled problems are added. This book is at the cutting edge of an area of significant and growing interest in computational mechanics.

Computers & Technology

Computer Science

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.

Nichtlineare Finite-Element-Methoden (German Edition)

Die Aufgabensammlung zum Band „Technische Mechanik 1 (Statik)" enthält die wichtigsten Formeln und mehr als 140 didaktisch gut aufbereitete, vollständig gelöste Aufgaben. Besonderen Wert haben die Autoren darauf gelegt, den Nutzern das Finden des Lösungsweges und das Erstellen der Grundgleichungen erleichtern. Behandelte Themen sind Gleichgewicht und Schwerpunkt, Lagerreaktionen, Fachwerke, Balken, Rahmen, Bogen und Seile, der Arbeitsbegriff in der Statik, Haftung und Reibung sowie Flächenträgheitsmomente.

Formeln und Aufgaben zur Technischen Mechanik 1: Statik (Springer-Lehrbuch) (German Edition)

Physics

Die Aufgabensammlung zur "Technischen Mechanik 3 (Kinetik)". Sie enthält die wichtigsten Formeln und 160 didaktisch gut aufgebaute, vollständig gelöste Aufgaben zur Technischen Mechanik 3. Besonderer Wert wird auf das Finden des Lösungsweges und das Erstellen der Grundgleichungen gelegt. Behandelte Themen sind: Kinematik des Punktes - Kinetik des Massenpunktes - Bewegung eines Systems von Massenpunkten - Kinematik des starren Körpers - Stoßvorgänge - Schwingungen - Relativbewegung - Prinzipien der Mechanik - Hydrodynamik. Die 8. Auflage erscheint in neuem, zweifarbigem Layout.

See the best price to sell, buy, or rent books by Wriggers, Peter. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Wriggers, Peter

See the best price to sell, buy, or rent books by Wriggers, Peter. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Error-controlled Adaptive Finite Elements in Solid Mechanics

Computational Contact Mechanics

Tensor Calculus and Differential Geometry for Engineers: With Solved Exercises

Automation of Finite Element Methods

Automation of Finite Element Methods

Formeln und Aufgaben zur Technischen Mechanik 3: Kinetik, Hydrodynamik (Springer-Lehrbuch) (German Edition)

Computational Contact Mechanics

Nichtlineare Finite-Element-Methoden (German Edition)

Formeln und Aufgaben zur Technischen Mechanik 1: Statik (Springer-Lehrbuch) (German Edition)

Formeln und Aufgaben zur Technischen Mechanik 3: Kinetik, Hydrodynamik (Springer-Lehrbuch) (German Edition)