The Finite Element Method in Structural Mechanics: Principles and Practice of Design of Field-consistent Elements for Structural and Solid Mechanics: 24 (Solid Mechanics and Its Applications, 24) - Hardcover

Prathap, Gangan

Hardcover

ISBN 10: 0792324927 ISBN 13: 9780792324928

Publisher: Springer, 1993

Synopsis

This book is not intended to be a text-book, delineating the full scope of finite element methodology, nor is it a comprehensive handbook of modern finite element practice for the finite element engineer. There are enough books that serve to do these and more. It is however intended as a monograph or treatise on a very specific area - the design of robust and accurate elements for applications in struc­ tural mechanics. It attempts to describe the epistemological conflict between the principles in finite element technology that can be described as Art and those that have a scientific basis invested in it and which can be admitted as science as the subject evolved and came to be accepted. The principles of structural mechanics as a branch of physics are well founded and have a sound scientific basis. The mathematical description of it has also a long history and is rigorously based on the infinitesimal and variational calculus. Of much more recent origin has been the branch of knowledge dealing with the numerical modelling of the beha­ viour of structural material. The most powerful method available to do this today is the finite element method. It is eminently suited to carry out the entire cycle of design and analysis of a structural configuration on a digital computer.

About this title

Product Description

Hardcover

Synopsis

This work is a treatise on the design of robust and accurate elements for applications in structural mechanics. It describes the epistemological conflict between the principles in finite element technology that can be described as Art and those that have a scientific basis. The main emphasis of the book establishes the process by which continuum structural behaviour is replaced by a discretized description so that this can be coded as mechanics algorithms. Early efforts to do this were founded on engineering principles proceeding mostly from heuristic judgement (Art). However, considerable critical and analytical study in recent years has shown that it is possible to establish these methods on a more scientific basis. This book therefore sets this aspect of the use of the finite element method against such principles. It is an account of the state-of-the-art of the theory of finite element development and its critical assessment.

Edition details

• Publisher: Springer
• Publication date: 1993
• Language: English
• ISBN 10: 0792324927
• ISBN 13: 9780792324928
• Binding: Hardcover
• Number of pages: 424