Nonlinear continuum mechanics for finite element analysis (2nd edn). Javier Bonet and Richard D. Wood, Cambridge University Press, Cambridge, 2008. No. of pages: 318. ISBN: 978-0-521-83870-2
Nonlinear continuum mechanics for finite element analysis (2nd edn). Javier Bonet and Richard D. Wood, Cambridge University Press, Cambridge, 2008. No. of pages: 318. ISBN: 978-0-521-83870-2
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用于有限元分析的非线性连续介质力学(第二版)。
DOI:
10.1002/cnm.1177
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发表时间:
2008
影响因子:
--
通讯作者:
P. Heyliger
中科院分区:
文献类型:
--
作者:
P. Heyliger
It is the rare book in advanced mechanics that can provide sufficient detail to allow a student to effectively be self-taught. This is especially true in the sometimes dizzying world of nonlinear analysis. This volume, recently issued in its second edition, falls into this category and its content, both old and new, absolutely shines. The already excellent material from the first edition has been supplemented with two powerful new chapters and a handful of new problems that will make the acquisition of this book even more of a necessity to anyone with a love of structural mechanics. Following a brief but descriptive preface, Chapter 1 of the new volume gives an overview of geometrically nonlinear analysis. Within its first few pages, and immediately after first encountering simple descriptions of nonlinear strain measures, the reader is provided with a simple truss element taken through a large deformation. This is completely described with both algorithm and FORTRAN code provided. This laudable move allows students to immediately replicate the resulting deformation, increasing both understanding and confidence within the first few hours of study.Chapter 2 is entitled Mathematical Preliminaries and gives a tidy description of tensor algebra, including links between various forms of notation. Examples and brief proofs of tensor operations are followed by a comprehensive description of linearization and the directional derivative. A short but representative set of problems follows, as is the case with most later chapters. At first glance, the placement of the third chapter (Analysis of Three Dimensional Truss Structures) might appear peculiar. This is the first of the two new chapters and gives a comprehensive description of geometrically and materially nonlinear space trusses. I say peculiar because it appears to be inserted within an existing flow