Barna Szabó - Finite Element Analysis

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Series Advisors: René de Borst Perumal Nithiarasu Tayfun E. Tezduyar Genki Yagawa Tarek Zohdi

Second Edition

Barna Szabó

Washington University in St. Louis

Ivo Babuška

The University of Texas at Austin

This second edition first published 2021 © 2021 John Wiley & Sons, Inc.

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Library of Congress Cataloging‐in‐Publication Data

Names: Szabó, B. A. (Barna Aladar), 1935‐ author. | Babuška, Ivo, author.

Title: Finite element analysis : method, verification and validation / Barna Szabó, Ivo Babuška.

Description: Second edition. | Hoboken, NJ : Wiley, 2021. | Series: Wiley series in computational mechanics | Includes bibliographical references and index.

Identifiers: LCCN 2021005389 (print) | LCCN 2021005390 (ebook) | ISBN 9781119426424 (cloth) | ISBN 9781119426387 (adobe pdf) | ISBN 9781119426462 (epub) | ISBN 9781119426479 (obook)

Subjects: LCSH: Finite element method.

Classification: LCC TA347.F5 S98 2021 (print) | LCC TA347.F5 (ebook) | DDC 620.001/51825–dc23

LC record available at https://lccn.loc.gov/2021005389

LC ebook record available at https://lccn.loc.gov/2021005390

Cover Design: Wiley

Cover Images: © Courtesy of Barna Szabó

The first edition of this book, published in 1991, focused on the conceptual and algorithmic development of the finite element method from the perspective of solution verification, that is, estimation and control of the errors of approximation in terms of the quantities of interest. Since that time the importance of solution verification became widely recognized. It is a key constituent of predictive computational science, the branch of computational science concerned with the prediction of physical events.

Predictive computational science embraces the formulation of mathematical models, definition of the quantities of interest, code and solution verification, definition of statistical sub‐models, calibration and validation of models, and forecasting physical events with quantified uncertainty. The second edition covers the main conceptual and algorithmic aspects of predictive computational science pertinent to solid mechanics. The formulation and application of design rules for mechanical and structural components subjected to cyclic loading are used for illustration.