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
P. Heyliger
中科院分区:
--
文献类型:
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作者:
P. Heyliger

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这是罕见的书在先进的力学,可以提供足够的细节,让学生有效地自学。这在有时令人眼花缭乱的非线性分析世界中尤其如此。这卷,最近发行的第二版,福尔斯属于这一类和它的内容,无论是旧的和新的,绝对闪耀。从第一版已经很好的材料已经补充了两个强大的新章节和一些新的问题,这将使这本书的收购更加必要的任何人与爱的结构力学。在简短但描述性的序言之后,新卷的第1章给出了几何非线性分析的概述。在最初的几页中,读者在第一次遇到非线性应变测量的简单描述后,立即看到了一个通过大变形的简单桁架单元。这是完全描述了算法和FORTRAN代码提供。这一值得称赞的举动使学生能够立即复制所产生的变形,在最初的几个小时的学习中既增加了理解力又增加了信心。第2章题为数学代数,并给出了张量代数的整洁描述,包括各种形式的符号之间的联系。张量运算的示例和简要证明之后是线性化和方向导数的全面描述。下面是一组简短但有代表性的问题,后面的章节也是如此。乍一看,第三章(三维桁架结构的分析)的位置可能显得很奇怪。这是两个新章节中的第一章,对几何非线性和材料非线性空间桁架进行了全面的描述。我说奇特是因为它似乎被插入到一个现有的流中
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