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Mathematical Theory of Elastic Structures

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Release : 2013-04-17
Genre : Science
Kind : eBook
Book Rating : 864/5 ( reviews)

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Book Synopsis Mathematical Theory of Elastic Structures by : Kang Feng

Download or read book Mathematical Theory of Elastic Structures written by Kang Feng. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.

Mathematical Theory of Elastic Structures

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Release : 1996
Genre : Elastic analysis (Engineering)
Kind : eBook
Book Rating : 731/5 ( reviews)

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Book Synopsis Mathematical Theory of Elastic Structures by : Kang Feng

Download or read book Mathematical Theory of Elastic Structures written by Kang Feng. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Models for Elastic Structures

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Release : 1997-10-28
Genre : Technology & Engineering
Kind : eBook
Book Rating : 245/5 ( reviews)

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Book Synopsis Mathematical Models for Elastic Structures by : Piero Villaggio

Download or read book Mathematical Models for Elastic Structures written by Piero Villaggio. This book was released on 1997-10-28. Available in PDF, EPUB and Kindle. Book excerpt: During the seventeenth century, several useful theories of elastic structures emerged, with applications to civil and mechanical engineering problems. Recent and improved mathematical tools have extended applications into new areas such as mathematical physics, geomechanics, and biomechanics. This book offers a critically filtered collection of the most significant theories dealing with elastic slender bodies. It includes mathematical models involving elastic structures that are used to solve practical problems with particular emphasis on nonlinear problems.

An Introduction to the Mathematical Theory of Vibrations of Elastic Plates

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Release : 2006
Genre : Technology & Engineering
Kind : eBook
Book Rating : 499/5 ( reviews)

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Book Synopsis An Introduction to the Mathematical Theory of Vibrations of Elastic Plates by : Raymond David Mindlin

Download or read book An Introduction to the Mathematical Theory of Vibrations of Elastic Plates written by Raymond David Mindlin. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices. Sample Chapter(s). Chapter 1: Elements of the Linear Theory of Elasticity (416 KB). Contents: Elements of the Linear Theory of Elasticity; Solutions of the Three-Dimensional Equations; Infinite Power Series of Two-Dimensional Equations; Zero-Order Approximation; First-Order Approximation; Intermediate Approximations. Readership: Researchers in mechanics, civil and mechanical engineering and applied mathematics.

A Treatise on the Mathematical Theory of Elasticity

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Release : 1893
Genre : Elasticity
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis A Treatise on the Mathematical Theory of Elasticity by : Augustus Edward Hough Love

Download or read book A Treatise on the Mathematical Theory of Elasticity written by Augustus Edward Hough Love. This book was released on 1893. Available in PDF, EPUB and Kindle. Book excerpt:

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