Bücher von Andreas OEchsner

This book provides a systematic and thorough overview of the classical bending members based on the theory for thin beams (shear-rigid) according to Euler-Bernoulli, and the theories for thick beams (shear-flexible) according to Timoshenko and Levinson. The understanding of basic, i.e., one-dimensional structural members, is essential in applied mechanics. A systematic and thorough introduction to the theoretical concepts for one-dimensional members keeps the requirements on engineering mathematics quite low, and allows for a simpler transfer to higher-order structural members. The new approach in this textbook is that it treats single-plane bending in the x-y plane as well in the x-z plane equivalently and applies them to the case of unsymmetrical bending. The fundamental understanding of these one-dimensional members allows a simpler understanding of thin and thick plate bending members.Partial differential equations lay the foundation to mathematically describe the mechanical behavior of all classical structural members known in engineering mechanics. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, these partial differential equations that describe the physical problem can be derived. Nevertheless, the fundamental knowledge from the first years of engineering education, i.e., higher mathematics, physics, materials science, applied mechanics, design, and programming skills, might be required to master this topic.

The mechanical theories focus on the classical two-dimensional structural elements, i.e., plane elements, thin or classical plates, and thick or shear deformable plate elements.

This book provides a systematic and thorough introduction to the classical laminate theory based on the theory for plane elasticity elements and classical (shear-rigid) plate elements. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai-Hill and the Tsai-Wu criteria.

This book uses a novel concept to teach the finite element method, applying it to solid mechanics.

Presenting insights form a broad range of disciplines, including materials science, biology, physiology and clinical science, this book provides a timely review of the principles, processing and application of dental materials.

This textbook presents finite element methods using exclusively one-dimensional elements.

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.

This book uses a novel concept to teach the finite element method, applying it to solid mechanics.

This book provides comprehensive mechanobiological insights into bone, including the microstructure of cancellous bone and its realistic loading in the human body. This approach considers different types of loads, i.e. static and dynamic, and the response under uniaxial and multiaxial loading conditions.

In der Ingenieurpraxis werden in der Regel recht komplexe Systeme, auch unter der Verwendung kommerzieller Programmpakete, optimiert. Zur Einführung der unterschiedlichen Leichtbaukonzepte im Rahmen eines Hochschulingenieurstudiums kann jedoch auch zuerst auf einfache Strukturelemente, die im Rahmen der technischen Mechanik vorgestellt werden, zurückgegriffen werden. Die einfachsten Elemente sind hierbei Stäbe und Balken, die neben Federn den eindimensionalen Strukturelementen zugerechnet werden. Anhand dieser Elemente können recht anschaulich Fragestellungen zur Werkstoffauswahl und der geometrischen Gestaltung und Optimierung von lasttragenden Strukturen diskutiert werden. Somit bietet dieses Lehrbuch eine einfache und umfassende "Anleitung" zur Anwendung der unterschiedlichen Leichtbaukonzepte, wobei der Schwerpunkt auf dem Soff- und Formleichtbau beziehungsweise der Kombination dieser beiden Konzepte liegt.Das Buch wendet sich an Studierende der Ingenieurwissenschaften.

It helps students succeed in mechanics courses by showing them how to apply the fundamental knowledge they gained in the first years of their engineering education to more advanced topics.In order to deepen readers' understanding of the derived equations and theories, each chapter also includes supplementary problems.

Accordingly, the same mathematical apparatus allows us to study not only mathematical structures such as quadratic forms, but also mechanics problems such as multibody rigid mechanics, continuum mechanics, vibrations, elastic and dynamic stability, and dynamic systems.

Here, much emphasis is placed on the theory of holomorphic functions, which facilitate the understanding of the role that the theory of functions of a complex variable plays in mathematical physics, especially in the modeling of plane problems.

This book offers a brief introduction to the general-purpose finite element program MSC Marc, focusing on providing simple examples, often single-element problems, which can easily be related to the theory that is discussed in finite element lectures.

This textbook offers readers an introduction to fracture mechanics, equipping them to grasp the basic ideas of the presented approaches to modeling in applied mechanicsIn the first part, the book reviews and expands on the classical theory of elastic and elasto-plastic material behavior.

Presenting a complex methodology in an easily understandable but mathematically correct fashion, this book reviews finite element methods using exclusively one-dimensional elements. Advanced topics include plasticity and the mechanics of composite materials.

This book offers an in-depth insight into the general-purpose finite element program MSC Marc, which is distributed by MSC Software Corporation. This subroutine feature allows the user to replace certain modules of the core code and to implement new features such as constitutive laws or new elements.

This short book presents an overview of different types of biomaterial such as bio ceramics, bio polymers, metals and bio composites, while especially focusing on nano biomaterials and their applications in different tissues.

This volume presents a comprehensive system for categorizing carbon nanotubes and their modifications in terms of nano sheets, nanotubes, microscopic and atomic modifications. Lastly, it introduces a number of common software packages for geometry generation and several commercial finite element programs.

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.

The monograph deals with methods to determine mechanical properties and evaluate the flow curve of ductile materials from the tensile test.