An Improved Method of Collocation for the Stress Analysis of Cracked Plates with Various Shaped Boundaries
An Improved Method of Collocation for the Stress Analysis of Cracked Plates with Various Shaped Boundaries

Author: J. C. Newman

Publisher:

Published: 1971

Total Pages: 52

ISBN-13:

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An improved method of boundary collocation was developed and applied to the two-dimensional stress analysis of cracks emanating from, or in the vicinity of, holes or boundaries of various shapes. The solutions, presented in terms of the stress-intensity factor, were based on the complex variable method of Muskhelishvili and a modified boundary-collocation method. The complex-series stress functions developed for simply and multiply connected regions containing cracks were constructed so that the boundary conditions on the crack surfaces are satisfied exactly. The conditions on the other boundaries were satisfied approximately by the modified collocation method. This improved method gave more rapid numerical convergence than other collocation techniques investigated.

Applied Mechanics: Progress And Applications, Proceedings Of The Third Australasian Congress On Applied Mechanics
Applied Mechanics: Progress And Applications, Proceedings Of The Third Australasian Congress On Applied Mechanics

Author: John Gal

Publisher: World Scientific

Published: 2002-02-04

Total Pages: 731

ISBN-13: 9814489328

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Contents: Keynote PapersBiomechanicsConstitutive ModellingFracture, Fatigue and DamageGeo-Mechanics and MiningImpact and DynamicsMeasurement and Case StudiesMachining and SurfacingMetal FormingParticle MaterialsSmart Structures, Structure Repair and MonitoringStress, Deformation and CompositesStructural Mechanics and OptimisationTribology, Manufacturing and MachineryVibration and Time-Dependent Deformation Readership: Graduate students, academics, researchers and practitioners in engineering mechanics, aerospace engineering and materials engineering. Keywords:

Advances in Fracture Research
Advances in Fracture Research

Author: K. Salama

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 3063

ISBN-13: 1483294064

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Held every four years, the International Congress on Fracture is the premier international forum for the exchange of ideas between scientists and engineers involved in producing and using materials resistant to fracture and fatigue. This major six-volume work which forms the proceedings of the Seventh International Congress on Fracture therefore provides the most comprehensive account available of the current status of research into fracture and fatigue, and the application of this knowledge to the design, fabrication and operation of materials and structures. As such, it will be an essential reference for materials scientists and mechanical, structural, aeronautical and design engineers with an interest in fracture and its prevention.

Numerical Fracture Mechanics
Numerical Fracture Mechanics

Author: M.H. Aliabadi

Publisher: Springer Science & Business Media

Published: 1991-07-31

Total Pages: 296

ISBN-13: 9780792311751

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The purpose of this book is to present, describe and demonstrate the use of numerical methods in solving crack problems in fracture mechanics. The text concentrates, to a large extent, on the application of the Boundary Element Method (BEM) to fracture mechanics, although an up-to-date account of recent advances in other numerical methods such as the Finite Element Method is also presented. The book is an integrated presentation of modem numerical fracture mechanics, it contains a compilation of the work of many researchers as well as accounting for some of authors' most recent work on the subject. It is hoped that this book will bridge the gap that exists between specialist books on theoretical fracture mechanics on one hand, and texts on numerical methods on the other. Although most of the methods presented are the latest developments in the field of numerical fracture mechanics, the authors have also included some simple techniques which are essential for understanding the physical principles that govern crack problems in general. Different numerical techniques are described in detail and where possible simple examples are included, as well as test results for more complicated problems. The book consists of six chapters. The first chapter initially describes the historical development of theoretical fracture mechanics, before proceeding to present the basic concepts such as energy balance, stress intensity factors, residual strength and fatigue crack growth as well as briefly describing the importance of stress intensity factors in corrosion and residual stress cracking.

Advances in Mechanics
Advances in Mechanics

Author: Aleksander N. Guz

Publisher: Springer Nature

Published: 2023-10-03

Total Pages: 574

ISBN-13: 3031373138

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This book covers research from modern directions in solid mechanics, in particular, in the fields of mechanics of composite materials, fracture mechanics, strength of materials and structures, thermo-viscoelasticity and plasticity, mechanics of shell structures, contact mechanics, theory of wave propagation, dynamics of mechanical and hydromechanical systems. The book presents some new results in the main research directions in mechanics on which the institutions of the National Academy of Sciences of Ukraine are focused. In addition to these studies, the results of joint scientific projects of the academic institutions with universities and research institutions of Ukraine are presented. The work is dedicated to the 145th anniversary of Stepan Prokopovich Timoshenko, the world-famous scientist in the field of mechanics, the founder of the Institute of Mechanics of the National Academy of Sciences of Ukraine, one of the founders of the National Academy of Sciences of Ukraine and academic teacher with world-wide reputation with great influence on engineering education.