Mathematical Theory Of Elastic Structures
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Author | : Kang Feng |
Publisher | : Springer Science & Business Media |
Total Pages | : 407 |
Release | : 2013-04-17 |
Genre | : Science |
ISBN | : 3662032864 |
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.
Author | : Kang Feng |
Publisher | : |
Total Pages | : 395 |
Release | : 1996 |
Genre | : Elastic analysis (Engineering) |
ISBN | : 9787030047731 |
Author | : Piero Villaggio |
Publisher | : Cambridge University Press |
Total Pages | : 694 |
Release | : 1997-10-28 |
Genre | : Technology & Engineering |
ISBN | : 9780521573245 |
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.
Author | : Raymond David Mindlin |
Publisher | : World Scientific |
Total Pages | : 211 |
Release | : 2006 |
Genre | : Technology & Engineering |
ISBN | : 9812772499 |
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.
Author | : Augustus Edward Hough Love |
Publisher | : |
Total Pages | : 350 |
Release | : 1893 |
Genre | : Elasticity |
ISBN | : |
Author | : Mario Como |
Publisher | : Routledge |
Total Pages | : 272 |
Release | : 2022-01-27 |
Genre | : Mathematics |
ISBN | : 1351408534 |
Theory of Stability of Continuous Elastic Structures presents an applied mathematical treatment of the stability of civil engineering structures. The book's modern and rigorous approach makes it especially useful as a text in advanced engineering courses and an invaluable reference for engineers.
Author | : J. N. Goodier |
Publisher | : Courier Dover Publications |
Total Pages | : 164 |
Release | : 2016-04-21 |
Genre | : Mathematics |
ISBN | : 0486806049 |
Comprising two classic essays by experts on the mathematical theories of elasticity and plasticity, this volume is noteworthy for its contributions by Russian authors and others previously unrecognized in Western literature. 1958 edition.
Author | : Augustus Edward Hough Love |
Publisher | : Courier Corporation |
Total Pages | : 674 |
Release | : 1944-01-01 |
Genre | : Technology & Engineering |
ISBN | : 0486601749 |
The most complete single-volume treatment of classical elasticity, this text features extensive editorial apparatus, including a historical introduction. Topics include stress, strain, bending, torsion, gravitational effects, and much more. 1927 edition.
Author | : |
Publisher | : CUP Archive |
Total Pages | : 384 |
Release | : |
Genre | : |
ISBN | : |
Author | : Jerrold E. Marsden |
Publisher | : Courier Corporation |
Total Pages | : 578 |
Release | : 2012-10-25 |
Genre | : Technology & Engineering |
ISBN | : 0486142272 |
Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.