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The Mechanics of Solids and Structures - Hierarchical Modeling and the Finite Element Solution - Softcover
Synopsis
Mathematical Models in the Finite Element Solution.- Fundamental Steps in Structural Mechanics.- The Linear 3-D Elasticity Mathematical Model.- Mathematical Models used in Engineering Structural Analysis.- The Principle of Virtual Work.- The Finite Element Process of Solution.- Hierarchical Modeling Examples.- Modeling for Nonlinear Analysis.
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From the Back Cover
This book presents in one treatise – both – the basic mathematical
models of solid / structural mechanics and effective finite element
procedures for the solution of these models. The book can be
used for teaching, in a modern way, solid and structural mechanics,
finite element methods, and for self-study – from elementary to
quite advanced material.
In synthesizing classical mechanics with modern finite element
analysis, emphasis is given to the hierarchical nature of the
mathematical models of mechanics, from simple to complex, and
on choosing the simplest reliable and effective model for analysis.
The process of hierarchical modeling and finite element solution
is illustrated in examples that show the benefits reached when good
hierarchical modeling is performed.
To pursue an effective analysis is an art – the objective is to predict
the future. Performing in the art of analysis is very stimulating
and requires constant learning. This book has been written to provide
a fundamental basis for that learning process.
Review
From the reviews:
“In this well-written work, Bucalem ... and Bathe (MIT) present an approach based on hierarchical modeling of problems in solids and structures. It involves mathematical modeling of a physical problem and developing a solution based on well-established finite element methods. ... Overall, an excellent presentation of hierarchical modeling of problems in solids and structures, useful for students in mechanical, civil, aerospace, and other engineering courses. Summing Up: Recommended. Engineering collections serving upper-division undergraduates, graduate students, and professionals/practitioners.” (R. Kolar, Choice, Vol. 49 (5), January, 2012)
“The aim of this original book is to provide a rational, structured and modern framework for the modeling and analysis of engineering structures by presenting in one treatise both the basic mathematical models of solid and structural mechanics and modern reliable finite element procedures for the solution of these models. ... this book not only gives valuable information regarding the linear analysis of solids, but also demonstrates universal concepts of analysis that are generally applicable.” (P. Rochus, Mathematical Reviews, Issue 2012 h)
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