About the Book A comprehensive treatment of the theory and practice of equilibrium finite element analysis in the context of solid and structural mechanics Equilibrium Finite Element Formulations is an up to date exposition on hybrid equilibrium finite elements, which are based on the direct approximation of the stress fields. The focus is on their derivation and on the advantages that strong forms of equilibrium can have, either when used independently or together with the more conventional displacement based elements. These elements solve two important problems of concern to computational structural mechanics: a rational basis for error estimation, which leads to bounds on quantities of interest that are vital for verification of the output and provision of outputs immediately useful to the engineer for structural design and assessment. Key features:
- Unique in its coverage of equilibrium - an essential reference work for those seeking solutions that are strongly equilibrated. The approach is not widely known, and should be of benefit to structural design and assessment.
- Thorough explanations of the formulations for: 2D and 3D continua, thick and thin bending of plates and potential problems; covering mainly linear aspects of behaviour, but also with some excursions into non-linearity.
- Highly relevant to the verification of numerical solutions, the basis for obtaining bounds of the errors is explained in detail.
- Simple illustrative examples are given, together with their physical interpretations.
- The most relevant issues regarding the computational implementation of this approach are presented.
When strong equilibrium and finite elements are to be combined, the book is a must-have reference for postgraduate students, researchers in software development or numerical analysis, and industrial practitioners who want to keep up to date with progress in simulation tools.
Beth L. Sundstrom is an associate professor of communication and public health and the director of the Women's Health Research Team (WHRT) at the College of Charleston in Charleston, South Carolina. Dr. Sundstrom is a Fulbright Scholar and leading expert on health communication, social marketing, and women's reproductive health. She is the author of Reproductive Justice and Women's Voices: Health Communication across the Lifespan (2015) along with more than 35 peer-reviewed articles published in top-tier journals, including Contraception, the Journal of Health Communication, and the Maternal and Child Health Journal, among others. Her health communication campaigns have received national recognition, including the 2014 multi-media award by the American Public Health Association.
Cara Delay, a historian with degrees from Boston College and Brandeis University, is Professor of History at the College of Charleston. She is also a faculty member on the Women's Health Research Team. Her research focuses on women's reproductive health, including the history of motherhood and childbirth. Her books include
Irish Women and the Creation of Modern Catholicism, 1850-1950 (2019) and
Women, Reform, and Resistance in Ireland, 1850-1950 (2015). She has written articles for
Journal of Women's History,
Women's History Review,
Journal of Family History,
Journal of British Studies,
Lilith: A Feminist History Journal,
Éire-Ireland, and
Feminist Studies. She serves on the executive committee of the Women's History Association of Ireland (WHAI). Dr. Delay also is a regular writer for Nursing Clio, a website that interrogates the links between the past and the present, with a focus on women's reproductive history.
