Theory of elasticity
Theory of elasticity
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DOI：
10.1115/1.3423754
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发表时间：
1975-12
期刊：
影响因子：
--
通讯作者：
S. Timoshenko;J. Goodier
中科院分区：
文献类型：
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作者：
S. Timoshenko;J. Goodier
本书是为应用力学和数学领域的学生和教师，以及土木工程和机械工程从业者而设计的。由于张量微积分是以现代方式处理弹性理论不可缺少的前提条件，本书的第一部分是对这一主题的介绍。第二部分给出了弹性力学的物理基础，包括非线性。进入几何和物理非线性领域的偏移是为了使读者为进一步深入到该理论的最新发展做准备。这本书本身，在其余部分，仅限于线性问题。这本书的第三部分全面阐述了线弹性的数学理论。包括曲线问题、二维问题和三维问题。重点是制定一种系统的方法来解决各种应力状态，而不是忽视三轴问题。此外，还讨论了能量方法，考虑到Rudiger和Reiss Ner对这些方法的推广和扩展。本书的第四部分也是最后一部分是将第3部分中概述的一般方法应用于板和壳等特殊结构，从而有望给执业工程师带来一些有趣的东西。
This book is designed for use by students and teachers in the field of applied mechanics and mathematics, and for practitioners in civil and mechanical engineering. Since tensor calculus is an indispensable prerequisite when dealing with the theory of elasticity in a modern way, the first part of the book consists in an introduction into this subject. In the second part, the physical foundations of the theory of elasticity are given, including nonlinearities. The excursion into the field of geometric and physical nonlinearities is done in order to prepare the reader for further advances into the most recent developments of the theory. The book itself, in the remainder, is restricted to linear problems only. The third part of the book deals with the mathematical theory of linear elasticity in full extent. Curvilinear problems, two- and three-dimensional problems are included. Stress has been put on working out a systematic approach to the solutions of all kinds of stress states, not neglecting triaxial problems. Also, energy methods have been dealt with, taking into account the generalization and extension of these methods by Rudiger and Reiss ner. The fourth and last part of the book consists in an application of the general methods, as outlined in part 3, to special structures like plates and shells, thus giving hopefully something of interest to the practising engineer."