Peter Wriggers

Die Neuauflage des Buches wurde wiederum deutlich erweitert. Sie enthält die wichtigsten Formeln und über 200 vollständig gelöste Aufgaben zur Kinetik und Hydrodynamik. Besonderer Wert wird auf das Finden des Lösungsweges und das Erstellen der Grundgleichungen gelegt. Behandelte Themen sind: Kinematik des Punktes.- Kinetik des Massenpunktes.- Bewegung des Massenpunktsystems.- Kinematik des starren Körpers.- Kinetik des starren Körpers.- Stoßvorgänge.- Schwingungen.- Relativbewegungen.- Prinzipien der Mechanik.- Hydrodynamik.

The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. All derivations in this text are carried out line by line which will help the reader to understand the basic ideas.

This book provides a comprehensive treatment of the virtual element method (VEM) for engineering applications, focusing on its application in solid mechanics. Starting with a continuum mechanics background, the book establishes the necessary foundation for understanding the subsequent chapters. It then delves into the VEM's Ansatz functions and projection techniques, both for solids and the Poisson equation, which are fundamental to the method. The book explores the virtual element formulation for elasticity problems, offering insights into its advantages and capabilities. Moving beyond elasticity, the VEM is extended to problems in dynamics, enabling the analysis of dynamic systems with accuracy and efficiency. The book also covers the virtual element formulation for finite plasticity, providing a framework for simulating the behavior of materials undergoing plastic deformation. Furthermore, the VEM is applied to thermo-mechanical problems, where it allows for the investigation ofcoupled thermal and mechanical effects. The book dedicates a significant portion to the virtual elements for fracture processes, presenting techniques to model and analyze fractures in engineering structures. It also addresses contact problems, showcasing the VEM's effectiveness in dealing with contact phenomena. The virtual element method's versatility is further demonstrated through its application in homogenization, offering a means to understand the effective behavior of composite materials and heterogeneous structures. Finally, the book concludes with the virtual elements for beams and plates, exploring their application in these specific structural elements. Throughout the book, the authors emphasize the advantages of the virtual element method over traditional finite element discretization schemes, highlighting its accuracy, flexibility, and computational efficiency in various engineering contexts.

Das selbständige Lösen von Aufgaben ist der Weg zum erfolgreichen Studium der Technischen Mechanik. Die Aufgabensammlung zum Marktführer "Technische Mechanik 1 (Statik)" wurde in der 14. Auflage ergänzt und überarbeitet. Sie enthält die wichtigsten Formeln und mehr als 180 didaktisch gut aufgebaute, vollständig gelöste Aufgaben. Besonderer Wert wird auf das Finden des Lösungsweges und das Aufstellen der Grundgleichungen gelegt. Der Inhalt Gleichgewicht - Schwerpunkt - Lagerreaktionen - Fachwerke - Balken, Rahmen, Bogen - Seile - Der Arbeitsbegriff in der Statik - Haftung und Reibung - Flächenträgheitsmomente. Die Zielgruppen Das Buch wendet sich an Studierende der Ingenieurwissenschaften aller Fachrichtungen an Universitäten und Hochschulen für angewandte Wissenschaften.

Der Weg zum erfolgreichen Studium der Technischen Mechanik führt über das selbständige Lösen von Aufgaben. Die Aufgabensammlung zum Marktführer „Technische Mechanik 2 - Elastostatik" wurde in der Neuauflage überarbeitet und korrigiert. Alle Bilder sind in Anlehnung an das Standardwerk „Technische Mechanik 2 - Elastostatik“ jetzt durchgehend vierfarbig gestaltet. Die aktuelle Auflage enthält die wichtigsten Formeln und jetzt mehr als 150 didaktisch gut aufbereitete, vollständig gelöste Aufgaben. Besonderer Wert wird auf das Finden des Lösungsweges und das Erstellen der Grundgleichungen gelegt.Der InhaltSpannung, Verzerrung, Elastizitätsgesetz.- Zug und Druck.- Biegung.- Torsion.- Der Arbeitsbegriff in der Elastostatik.- Stabilität.- Hydrostatik.- Literaturhinweise.- Bezeichnungen.

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 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.

This book provides a comprehensive treatment of the virtual element method (VEM) for engineering applications, focusing on its application in solid mechanics. Starting with a continuum mechanics background, the book establishes the necessary foundation for understanding the subsequent chapters. It then delves into the VEM's Ansatz functions and projection techniques, both for solids and the Poisson equation, which are fundamental to the method. The book explores the virtual element formulation for elasticity problems, offering insights into its advantages and capabilities. Moving beyond elasticity, the VEM is extended to problems in dynamics, enabling the analysis of dynamic systems with accuracy and efficiency. The book also covers the virtual element formulation for finite plasticity, providing a framework for simulating the behavior of materials undergoing plastic deformation. Furthermore, the VEM is applied to thermo-mechanical problems, where it allows for the investigation ofcoupled thermal and mechanical effects. The book dedicates a significant portion to the virtual elements for fracture processes, presenting techniques to model and analyze fractures in engineering structures. It also addresses contact problems, showcasing the VEM's effectiveness in dealing with contact phenomena. The virtual element method's versatility is further demonstrated through its application in homogenization, offering a means to understand the effective behavior of composite materials and heterogeneous structures. Finally, the book concludes with the virtual elements for beams and plates, exploring their application in these specific structural elements. Throughout the book, the authors emphasize the advantages of the virtual element method over traditional finite element discretization schemes, highlighting its accuracy, flexibility, and computational efficiency in various engineering contexts.

Dieser vierte Band, Hydromechanik, Elemente der Höheren Mechanik, Numerische Methoden, schließt die Lehrbuchreihe Technische Mechanik ab. Der dargestellte Stoff orientiert sich an gängigen Kursen deutschsprachiger Hochschulen und ist für Bachelor-, Master- und Diplomstudiengänge hervorragend geeignet. In der 10. Auflage wurden deutliche Ergänzungen und eine Vielzahl von Verbesserungen vorgenommen. Das Werk enthält zahlreiche durchgerechnete Beispiele, die das Verständnis des Stoffes erleichtern. Band 1 behandelt die Statik, Band 2 die Elastostatik, Band 3 die Kinetik. Ergänzt werden die Lehrbücher durch sorgfältig abgestimmte Aufgabenbände.Die ZielgruppenDas Buch wendet sich an Studierende der Ingenieurwissenschaften aller Fachrichtungen an Universitäten und Hochschulen.

Die Neuauflage des Buches wurde wiederum deutlich erweitert. Sie enthält die wichtigsten Formeln und mehr als 200 vollständig gelöste Aufgaben zur Kinetik und Hydrodynamik. Besonderer Wert wird auf das Finden des Lösungsweges und das Erstellen der Grundgleichungen gelegt. Behandelte Themen sind: Kinematik des Punktes.- Kinetik des Massenpunktes.- Bewegung des Massenpunktsystems.- Kinematik des starren Körpers.- Kinetik des starren Körpers.- Stoßvorgänge.- Schwingungen.- Relativbewegungen.- Prinzipien der Mechanik.- Hydrodynamik.

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.

This book contains the most important formulas and more than 140 completely solved problems from Mechanics of Materials and Hydrostatics. It provides engineering students material to improve their skills and helps to gain experience in solving engineering problems. Particular emphasis is placed on finding the solution path and formulating the basic equations. Topics include:- Stress- Strain- Hooke’s Law- Tension and Compression in Bars- Bending of Beams- Torsion- Energy Methods- Buckling of Bars- Hydrostatics

This book contains the most important formulas and more than 160 completely solved problems from Statics. It provides engineering students material to improve their skills and helps to gain experience in solving engineering problems. Particular emphasis is placed on finding the solution path and formulating the basic equations. Topics include:- Equilibrium - Center of Gravity, Center of Mass, Centroids - Support Reactions - Trusses - Beams, Frames, Arches - Cables - Work and Potential Energy - Static and Kinetic Friction - Moments of Inertia

This book contains the most important formulas and more than 190 completely solved problems from Kinetics and Hydrodynamics. It provides engineering students material to improve their skills and helps to gain experience in solving engineering problems. Particular emphasis is placed on finding the solution path and formulating the basic equations. Topics include: - Kinematics of a Point - Kinetics of a Point Mass - Dynamics of a System of Point Masses- Kinematics of Rigid Bodies - Kinetics of Rigid Bodies - Impact - Vibrations - Non-Inertial Reference Frames - Hydrodynamics

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.

Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

Contact mechanics has its application in many engineering problems. No one can walk without frictional contact, and no car would move for the same r- son. Hence contact mechanics has, from an engineering point of view, a long history, beginning in ancient Egypt with the movement of large stone blocks, over ?rst experimental contributions from leading scientists like Leonardo da Vinci andCoulomb, to today’s computational methods. In the past c- tact conditions were often modelled in engineering analysis by more simple boundary conditions since analytical solutions were not present for real world applications. In such cases, one investigated contact as a local problem using the stress and strain ?elds stemming from the analysis which was performed for the entire structure. With the rapidly increasing power of moderncomp- ers, more and more numerical simulations in engineering can include contact constraints directly, which make the problems nonlinear. This book is an account of the modern theory of nonlinear continuum mechanics and its application to contact problems, as well as of modern s- ulation techniques for contact problems using the ?nite element method. The latter includes a variety of discretization techniques for small and large def- mation contact. Algorithms play another prominent role whenrobustand- cient techniques have to be designed for contact simulations. Finally, adaptive methods based on error controlled ?nite element analysis and mesh adaption techniques are of great interest for the reliable numerical solution of contact problems.

Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

In this, its second corrected printing, Zohdi and Wriggers' illuminating text presents a comprehensive introduction to the subject. The authors include in their scope basic homogenization theory, microstructural optimization and multifield analysis of heterogeneous materials. This volume is ideal for researchers and engineers, and can be used in a first-year course for graduate students with an interest in the computational micromechanical analysis of new materials.