Elasticity

Elasticity
Author: Martin H. Sadd
Publisher: Elsevier
Total Pages: 474
Release: 2010-08-04
Genre: Technology & Engineering
ISBN: 008047747X

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Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. Contains exercises for student engagement as well as the integration and use of MATLAB Software Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of

Methods of Analysis and Solutions of Crack Problems

Methods of Analysis and Solutions of Crack Problems
Author: George C. Sih
Publisher: Springer Science & Business Media
Total Pages: 562
Release: 2013-11-11
Genre: Science
ISBN: 9401722609

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It is weH known that the traditional failure criteria cannot adequately explain failures which occur at a nominal stress level considerably lower than the ultimate strength of the material. The current procedure for predicting the safe loads or safe useful life of a structural member has been evolved around the discipline oflinear fracture mechanics. This approach introduces the concept of a crack extension force which can be used to rank materials in some order of fracture resistance. The idea is to determine the largest crack that a material will tolerate without failure. Laboratory methods for characterizing the fracture toughness of many engineering materials are now available. While these test data are useful for providing some rough guidance in the choice of materials, it is not clear how they could be used in the design of a structure. The understanding of the relationship between laboratory tests and fracture design of structures is, to say the least, deficient. Fracture mechanics is presently at astandstill until the basic problems of scaling from laboratory models to fuH size structures and mixed mode crack propagation are resolved. The answers to these questions require some basic understanding ofthe theory and will not be found by testing more specimens. The current theory of fracture is inadequate for many reasons. First of aH it can only treat idealized problems where the applied load must be directed normal to the crack plane.

A Static Problem of External Cracks

A Static Problem of External Cracks
Author: R. P. Srivastav
Publisher:
Total Pages: 23
Release: 1974
Genre: Elasticity
ISBN:

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Of concern here is the distribution of stress in an isotropic elastic medium containing two external cracks. The two-dimensional plane-strain model in the classical theory of elasticity is considered. The boundary value problem is reduced to a pair of dual integral equations with trigonmetric kernels. Closed form expressions are obtained for (a) the stress intensity factor, (b) the normal component of stress on the line of crack and (c) the crack profile. (Author).

Methods of Analysis and Solutions of Crack Problems

Methods of Analysis and Solutions of Crack Problems
Author: George C. Sih
Publisher: Springer Science & Business Media
Total Pages: 578
Release: 1973-01-31
Genre: Science
ISBN: 9789001798604

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It is weH known that the traditional failure criteria cannot adequately explain failures which occur at a nominal stress level considerably lower than the ultimate strength of the material. The current procedure for predicting the safe loads or safe useful life of a structural member has been evolved around the discipline oflinear fracture mechanics. This approach introduces the concept of a crack extension force which can be used to rank materials in some order of fracture resistance. The idea is to determine the largest crack that a material will tolerate without failure. Laboratory methods for characterizing the fracture toughness of many engineering materials are now available. While these test data are useful for providing some rough guidance in the choice of materials, it is not clear how they could be used in the design of a structure. The understanding of the relationship between laboratory tests and fracture design of structures is, to say the least, deficient. Fracture mechanics is presently at astandstill until the basic problems of scaling from laboratory models to fuH size structures and mixed mode crack propagation are resolved. The answers to these questions require some basic understanding ofthe theory and will not be found by testing more specimens. The current theory of fracture is inadequate for many reasons. First of aH it can only treat idealized problems where the applied load must be directed normal to the crack plane.

Crack Problems in the Mathematical Theory of Elasticity

Crack Problems in the Mathematical Theory of Elasticity
Author: Ian Naismith Sneddon
Publisher:
Total Pages: 474
Release: 1961
Genre: Elasticity
ISBN:

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The topic of main interest is the calculation of the stress field in the vicinity of a crack (or cracks) in a homogeneous isotropic solid. The principal methods available for the solution of such problems are treated. Problems in aelotropic bodies are not considered, nor are the physical implications of the results of the calculations. (Author).