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Theory of Elasticity (1974)

Theory of elasticity

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"Theory of elasticity" by U. Leipholz is a physics book focused on Dynamics. Best for students, educators, and scientifically curious readers.

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 Rüdiger 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.

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Best For: Students and teachers in applied mechanics and mathematics, as well as practitioners in civil and mechanical engineering.
Focus: Introduction to tensor calculus followed by the physical foundations of the theory of elasticity.
Covers: Tensor calculus essentials and fundamental concepts in elasticity theory.
Why It Matters: Provides the mathematical tools and physical understanding necessary for modern approaches to elasticity in engineering contexts.

"Theory of elasticity" by U. Leipholz is a physics book focused on Dynamics. Best for students, educators, and scientifically curious readers.

Topic: Dynamics

Author: U. Leipholz

Who this is for:

  • Physics students
  • Science-minded readers
  • Readers building technical understanding

Why this book matters: It provides structured coverage of physics concepts in a way that supports deeper understanding and continued study.

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 Rüdiger 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.

AuthorU. Leipholz
PublisherSpringer
Published2014-04-21
ISBN-139789401098878
BindingPaperback
Pages400
LanguageEnglish
SubjectsScience
TopicDynamics
SeriesMechanics of Elastic Stability

Format: Paperback

Length: 400 pages

Language: English

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