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Plates and shells with cracks

Plates and shells with cracks
Author: George C. Sih
Publisher: Springer Science & Business Media
Total Pages: 344
Release: 2012-12-06
Genre: Science
ISBN: 940101292X

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This third volume of a series on Mechanies of Fraeture deals with eraeks in plates and shelIs. It was noted in Volume 2 on three-dimensional eraek problems that additional free surfaees can lead to substantial mathematical complexities, often making the analysis unmanageable. The theory of plates and shelIs forms a part of the theory of elasticity in which eertain physieal assumptions are made on the basis that the distanee between two bounded surfaees, either fiat or eurved, is small in eomparison with the overall dimen sions of the body. In modern times, the broad and frequent applieations of plate- and shell-like struetural members have aeted as a stimulus to whieh engineers and researchers in the field of fracture meehanies have responded with a wide variety of solutions of teehnieal importanee. These eontributions are covered in this book so that the reader may gain an understanding of how analytieal treat me nt s ofplates and shells containing initial imperfeetions in the form of eraeks are earried out. The development of plate and shell theories has involved long standing controversy on the eonsisteney of omitting eertain small terms and at the same time retaining others of the same order of magnitude. This defieieney depends on the ratio of the plate or shell thiekness, h, to other eharaeteristie dimensions and eannot be eompletely resolved in view of the approximations inherent in the transverse dependence of the extensional and bending stresses.


Applied mechanics reviews

Applied mechanics reviews
Author:
Publisher:
Total Pages: 400
Release: 1948
Genre: Mechanics, Applied
ISBN:

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Analysis of Cracks in Solids

Analysis of Cracks in Solids
Author: A. M. Khludnev
Publisher: Computational Mechanics
Total Pages: 416
Release: 2000
Genre: Technology & Engineering
ISBN:

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The need for progress in modelling and analysis of crack problems in solids has resulted in renewed attempts at using modern approaches to boundary value problems. By taking a different viewpoint on the traditional treatment of many problems, such as crack theory, the range that can be resolved through mathematical tools is enlarged. This book provides a fresh outlook on crack problems, displaying new methods of studying these and proposing new models for cracks in elastic and nonelastic bodies satisfying physically suitable nonpenetration conditions between crack faces. Two- and three-dimensional bodies, plates and shells with cracks are considered. Properties of solutions such as existence of solutions, regularity up to the crack faces, and convergence of solutions as parameters of a system are varying are established, while different constitutive laws such as elastic, thermoelastic and elastoplastic are also analysed. The new approach presented by the authors is intriguing because it fails to lead to violation of physical properties. In addition, the boundary conditions analysed are given in the form of inequalities, and are properly nonpenetration conditions of crack faces. Thi


Stress Intensity Factors for Surface Cracks with Arbitrary Shapes in Plates and Shells

Stress Intensity Factors for Surface Cracks with Arbitrary Shapes in Plates and Shells
Author: T. Miyoshi
Publisher:
Total Pages: 14
Release: 1985
Genre: Finite element method
ISBN:

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In order to analyze stress intensity factors for surface cracks with arbitrary shapes in plates and shells, the authors have developed a new finite element scheme based upon the line spring model. In this scheme Ahmad's thick shell elements are combined with the newly developed line spring elements with quadratic shape functions. This line spring method has more potential of application than a previously reported method where flat shell elements were combined with the line spring elements with linear shape functions.


Stresses in Plates and Shells

Stresses in Plates and Shells
Author: A. C. Ugural
Publisher: McGraw-Hill Science, Engineering & Mathematics
Total Pages: 536
Release: 1999
Genre: Science
ISBN:

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This accessible text provides comprehensive coverage of both plates and shells, and a unique blend of modern analytical and computer-oriented numerical methods in presenting stress analysis in a realistic setting. It is distinguished by its broad range of exceptional visual interpretations of the solutions, applications, and means by which loads are resisted in beams, plates, and shells. Combining the current-numerical, mechanics of materials, and theory of elasticity methods of analysis, Stresses in Plates and Shells, Second Edition, offers an in-depth and complete coverage of the subject for students and practicing engineers.


The Scaled Boundary Finite Element Method

The Scaled Boundary Finite Element Method
Author: Chongmin Song
Publisher: John Wiley & Sons
Total Pages: 775
Release: 2018-06-19
Genre: Science
ISBN: 1119388457

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An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.