Öchsner An Introduction to the Classical Approximation Methods in Applied Mechanics

Erscheinungsjahr 2026
ISBN: 978-3-032-06967-2
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 92 Seiten

Reihe: SpringerBriefs in Computational Mechanics

This book presents a unified approach to classical approximation methods in engineering by applying the weighted residual method to transform differential equations into solvable algebraic systems. It demonstrates how this procedure underlies the finite difference, finite element, finite volume, and boundary element methods. The mechanical focus is on the one-dimensional tensile bar, allowing the mathematical framework and resulting matrix equations to be fully displayed and understood without symbolic abstraction. This approach supports a clear understanding of the derivation processes and is designed to help readers implement and extend features such as constitutive models in commercial simulation tools.

Zielgruppe

Research

Autoren/Hrsg.

Öchsner, Andreas

Inhaltsverzeichnis

Introduction.- Finite Difference Method.- Finite Element Method.- Finite Volume Method.- Boundary Element Method.- Comparison of the Methods.

Über Autor(innen)

Andreas Öchsner  is Full Professor for lightweight design and structural simulation at the Esslingen University of Applied Sciences, Germany. His research interests are related to experimental and computational mechanics, cellular metals and thin structures and interphases. His editorial work comprises posts as Editor-in-chief of the international journal Continuum Mechanics and Thermodynamics (Springer), Editor-in-chief of the Springer book series on Advanced Structured Materials and Editor of SpringerBriefs in Applied Sciences and Technology: Computational Mechanics.