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The Collinear Crack Problem in a Graded Medium

The Collinear Crack Problem in a Graded Medium
Author:
Publisher:
Total Pages: 0
Release: 2001
Genre:
ISBN:
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The collinear crack problem in an inhomogeneous orthotropic medium is considered under Mode I plane strain or plane stress loading conditions. It is shown that by introducing certain averaged orthotropy parameters, aside from a scaling parameter the results become only weakly dependent on the orthotropy constants. The main results of the study consist of the stress intensity factors at various crack tips as influenced by the material inhomogeneity parameter and by the relative size and position of the secondary cracks with respect to the dominant crack. Also considered is the crack/contact problem for the graded medium subjected to remote tension and bending through fixed grips. It is shown that the crack surface contact on the compression side of the loading has a magnifying effect on the stress intensity factor on the tension side.

The Collinear Crack Problem in an Inhomogeneous Orthotropic Medium

The Collinear Crack Problem in an Inhomogeneous Orthotropic Medium
Author: Murat Ozturk
Publisher:
Total Pages: 46
Release: 1999
Genre:
ISBN:
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The collinear crack problem in an inhomogeneous orthotropic medium is considered under Mode I plane strain or plane stress loading conditions, It is shown that by introducing certain averaged orthotropy parameters, aside from a scaling parameter the results become only weakly dependent on the orthotropy constants. The main results of the study consist of the stress intensity factors at various crack tips as influenced by the material inhomogeneity parameter and by the relative size and position of the secondary cracks with respect to the dominant crack. Also considered is the crack/contact problem for the graded medium subjected to remote tension and bending through fixed grips. It is shown that the crack surface contact on the compression side of the loading has a magnifying effect on the stress intensity factor on the tension side.

Integral Equations, Boundary Value Problems And Related Problems

Integral Equations, Boundary Value Problems And Related Problems
Author: Xing Li
Publisher: World Scientific
Total Pages: 298
Release: 2013-03-07
Genre: Mathematics
ISBN: 9814452890
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In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theories and methods for inverse problems of mathematical physics, Clifford analysis and related problems.

Comprehensive Structural Integrity

Comprehensive Structural Integrity
Author: Ian Milne
Publisher: Elsevier
Total Pages: 4647
Release: 2003-07-25
Genre: Business & Economics
ISBN: 0080490735
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The aim of this major reference work is to provide a first point of entry to the literature for the researchers in any field relating to structural integrity in the form of a definitive research/reference tool which links the various sub-disciplines that comprise the whole of structural integrity. Special emphasis will be given to the interaction between mechanics and materials and structural integrity applications. Because of the interdisciplinary and applied nature of the work, it will be of interest to mechanical engineers and materials scientists from both academic and industrial backgrounds including bioengineering, interface engineering and nanotechnology. The scope of this work encompasses, but is not restricted to: fracture mechanics, fatigue, creep, materials, dynamics, environmental degradation, numerical methods, failure mechanisms and damage mechanics, interfacial fracture and nano-technology, structural analysis, surface behaviour and heart valves. The structures under consideration include: pressure vessels and piping, off-shore structures, gas installations and pipelines, chemical plants, aircraft, railways, bridges, plates and shells, electronic circuits, interfaces, nanotechnology, artificial organs, biomaterial prostheses, cast structures, mining... and more. Case studies will form an integral part of the work.

Fracture of Functionally Graded Materials

Fracture of Functionally Graded Materials
Author: G.H. Paulino
Publisher: Elsevier
Total Pages: 306
Release: 2002-10-23
Genre: Science
ISBN: 9780080441603
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Scientific research on functionally graded materials (FGM's) looks at functions of gradients in materials comprising thermodynamic, mechanical, chemical, optical, electromagnetic, and/or biological aspects. This collection of technical papers represents current research interests with regard to the fracture behaviour of FGM's. The papers provide a balance between theoretical, computational, and experimental techniques. It also indicates areas for increased development, such as constraint effects, full experimental characterization of engineering FGM's under static and dynamic loading, development of fracture criteria with predictive capability, multiphysics and multiscale failure considerations, and connection of research with industrial applications.

Thermoelastic Fracture Mechanics

Thermoelastic Fracture Mechanics
Author: Vera Petrova
Publisher: Materials Research Forum LLC
Total Pages: 277
Release: 2024-02-10
Genre: Technology & Engineering
ISBN: 1644902958
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The book deals with the thermal and mechanical fracture of functionally graded materials on homogeneous substrate (FGM/H) structures. Emphasis is placed on multiple crack interactions. FGMs have a wide range of engineering applications; especially in thermal barrier coatings. Potentially desirable thermal and mechanical properties of functionally graded coatings (FGCs) are analyzed as well as available real material combinations, e.g. (ceramic/metal)/metal. Keywords: Thermal Fracture, Mechanical Fracture, Functionally Graded/Homogeneous Bimaterial, Thermo-Mechanical Loading, Mathematical Modelling, Thermal Stress Intensity, Fracture Criteria, Crack Closure, Systems of Cracks, Edge Cracks, Internal Cracks, Cracks Imitating a Curved Interface, Multiple Cracks Interaction, Thermal Barrier Coating, Thermal Fracture Resistance.

Dynamic Fracture of Piezoelectric Materials

Dynamic Fracture of Piezoelectric Materials
Author: Petia Dineva
Publisher: Springer Science & Business Media
Total Pages: 250
Release: 2014-01-30
Genre: Technology & Engineering
ISBN: 331903961X
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Dynamic Fracture of Piezoelectric Materials focuses on the Boundary Integral Equation Method as an efficient computational tool. The presentation of the theoretical basis of piezoelectricity is followed by sections on fundamental solutions and the numerical realization of the boundary value problems. Two major parts of the book are devoted to the solution of problems in homogeneous and inhomogeneous solids. The book includes contributions on coupled electro-mechanical models, computational methods, its validation and the simulation results, which reveal different effects useful for engineering design and practice. The book is self-contained and well-illustrated, and it serves as a graduate-level textbook or as extra reading material for students and researchers.

Advances in Mechanics and Mathematics

Advances in Mechanics and Mathematics
Author: David Yang Gao
Publisher: Springer Science & Business Media
Total Pages: 329
Release: 2013-12-01
Genre: Science
ISBN: 1461302471
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As any human activity needs goals, mathematical research needs problems -David Hilbert Mechanics is the paradise of mathematical sciences -Leonardo da Vinci Mechanics and mathematics have been complementary partners since Newton's time and the history of science shows much evidence of the ben eficial influence of these disciplines on each other. Driven by increasingly elaborate modern technological applications the symbiotic relationship between mathematics and mechanics is continually growing. However, the increasingly large number of specialist journals has generated a du ality gap between the two partners, and this gap is growing wider. Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications which fall into the two following complementary categories: 1. An annual book dedicated to the latest developments in mechanics and mathematics; 2. Monographs, advanced textbooks, handbooks, edited vol umes and selected conference proceedings. The AMMA annual book publishes invited and contributed compre hensive reviews, research and survey articles within the broad area of modern mechanics and applied mathematics. Mechanics is understood here in the most general sense of the word, and is taken to embrace relevant physical and biological phenomena involving electromagnetic, thermal and quantum effects and biomechanics, as well as general dy namical systems. Especially encouraged are articles on mathematical and computational models and methods based on mechanics and their interactions with other fields. All contributions will be reviewed so as to guarantee the highest possible scientific standards.