Plates and shells with cracks

Plates and shells with cracks
Title Plates and shells with cracks PDF eBook
Author George C. Sih
Publisher Springer Science & Business Media
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.

Boundary Element Analysis of Cracks in Shear Deformable Plates and Shells

Boundary Element Analysis of Cracks in Shear Deformable Plates and Shells
Title Boundary Element Analysis of Cracks in Shear Deformable Plates and Shells PDF eBook
Author Tatacipta Dirgantara
Publisher Computational Mechanics
Pages 0
Release 2002
Genre Boundary element methods
ISBN 9781853129506

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Illustrated throughout, this book presents a new set of boundary element formulations for the solution of bending problems in plates and shells. The book is part of the Topics in Engineering series.

Extended Finite Element and Meshfree Methods

Extended Finite Element and Meshfree Methods
Title Extended Finite Element and Meshfree Methods PDF eBook
Author Timon Rabczuk
Publisher Academic Press
Pages 640
Release 2019-11-13
Genre Technology & Engineering
ISBN 0128141077

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Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method and extended isogeometric analysis. This book also addresses their implementation and provides small MATLAB codes on each sub-topic. Also discussed are the challenges and efficient algorithms for tracking the crack path which plays an important role for complex engineering applications. - Explains all the important theory behind XFEM and meshfree methods - Provides advice on how to implement XFEM for a range of practical purposes, along with helpful MATLAB codes - Draws on the latest research to explore new topics, such as the applications of XFEM to shell formulations, and extended meshfree and extended isogeometric methods - Introduces alternative modeling methods to help readers decide what is most appropriate for their work

Plates and Shells for Smart Structures

Plates and Shells for Smart Structures
Title Plates and Shells for Smart Structures PDF eBook
Author Erasmo Carrera
Publisher John Wiley & Sons
Pages 261
Release 2011-08-24
Genre Science
ISBN 1119951127

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Smart structures that contain embedded piezoelectric patches are loaded by both mechanical and electrical fields. Traditional plate and shell theories were developed to analyze structures subject to mechanical loads. However, these often fail when tasked with the evaluation of both electrical and mechanical fields and loads. In recent years more advanced models have been developed that overcome these limitations. Plates and Shells for Smart Structures offers a complete guide and reference to smart structures under both mechanical and electrical loads, starting with the basic principles and working right up to the most advanced models. It provides an overview of classical plate and shell theories for piezoelectric elasticity and demonstrates their limitations in static and dynamic analysis with a number of example problems. This book also provides both analytical and finite element solutions, thus enabling the reader to compare strong and weak solutions to the problems. Key features: compares a large variety of classical and modern approaches to plates and shells, such as Kirchhoff-Love , Reissner-Mindlin assumptions and higher order, layer-wise and mixed theories introduces theories able to consider electromechanical couplings as well as those that provide appropriate interface continuity conditions for both electrical and mechanical variables considers both static and dynamic analysis accompanied by a companion website hosting dedicated software MUL2 that is used to obtain the numerical solutions in the book, allowing the reader to reproduce the examples given as well as solve problems of their own The models currently used have a wide range of applications in civil, automotive, marine and aerospace engineering. Researchers of smart structures, and structural analysts in industry, will find all they need to know in this concise reference. Graduate and postgraduate students of mechanical, civil and aerospace engineering can also use this book in their studies. www.mul2.com

Three-Dimensional Crack Problems

Three-Dimensional Crack Problems
Title Three-Dimensional Crack Problems PDF eBook
Author M.K. Kassir
Publisher Springer
Pages 516
Release 1975-04-30
Genre Science
ISBN

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Nonlinear Analyses of Laminated Plates and Shells with Damage

Nonlinear Analyses of Laminated Plates and Shells with Damage
Title Nonlinear Analyses of Laminated Plates and Shells with Damage PDF eBook
Author Yi-Ming Fu
Publisher WIT Press
Pages 797
Release 2013
Genre Technology & Engineering
ISBN 1845646908

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The contents of this book are related to composite mechanics, nonlinear plate and shell mechanics, damage mechanics, elasto-plastic mechanics, visco-elastic mechanics, piezoelectric elastic mechanics and nonlinear dynamics, which embody the combination and integration among solid mechanics, material science and nonlinear science.

The Variational Approach to Fracture

The Variational Approach to Fracture
Title The Variational Approach to Fracture PDF eBook
Author Blaise Bourdin
Publisher Springer Science & Business Media
Pages 173
Release 2008-04-19
Genre Technology & Engineering
ISBN 1402063954

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Presenting original results from both theoretical and numerical viewpoints, this text offers a detailed discussion of the variational approach to brittle fracture. This approach views crack growth as the result of a competition between bulk and surface energy, treating crack evolution from its initiation all the way to the failure of a sample. The authors model crack initiation, crack path, and crack extension for arbitrary geometries and loads.