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multiaxial loading
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Published: 01 January 1997
Fig. 12a Schematic showing S-N curves for multiaxial loading and surface and equal cycles to failure
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Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005556
EISBN: 978-1-62708-174-0
... and multiaxial loading. deposited coatings interlayer fabrication interlayer strain interlayer thickness mechanical properties microstructure multiaxial loading shear loading soft-interlayer welds solid-state welds stress-corrosion cracking tensile loading THE UTILIZATION OF METAL INTER...
Abstract
This article discusses the mechanical properties of soft-interlayer solid-state welds and the implications of these behaviors to service stress states and environments. It illustrates the microstructure of as-deposited coatings and solid-state-welded interlayers. The article reviews factors that affect the tensile loading of strength of soft-interlayer welds: the interlayer thickness, the interlayer strain, and the interlayer fabrication method. It also provides information on stress-corrosion cracking of interlayers and stress behavior of these interlayers during shear and multiaxial loading.
Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001352
EISBN: 978-1-62708-173-3
... concludes with a discussion on multiaxial loading. fabrication mechanical properties microstructure multiaxial loading shear loading tensile loading THE UTILIZATION OF METAL INTERLAYERS for solid-state welding can be an appropriate joining method when brittle intermetallic compound formation...
Abstract
Soft-interlayer solid-state welds that join stronger base metals have unique mechanical properties that are of fundamental interest and may be of critical importance to designers. This article discusses the mechanical properties of soft-interlayer solid-state welds and the implications of these behaviors to service stress states and environments. It describes the tensile loading of soft-Interlayer welds in terms of the effect of interlayer thickness on stress, interlayer strain, time-dependent failure, effect of base-metal properties, and effect of interlayer fabrication method. The article concludes with a discussion on multiaxial loading.
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002469
EISBN: 978-1-62708-194-8
... effects and multiaxial loadings provide significant challenges. Reference 2 gives an introduction to the current research in this area. In addition, the design methods reviewed in this article focus principally on smooth and notched components. Mechanically fastened joints and welded joints require...
Abstract
The design of components against fatigue failure may involve several considerations of irregular loading, variable temperature, and environment. This article focuses on design considerations against fatigue related to material performance under mechanical loading at constant temperature. It reviews the traditional methods of fatigue design on smooth and notched components. The article discusses high-cycle fatigue in terms of fatigue strength and tensile strength, mean stress effects, stress concentration, and multiaxial fatigue. It describes low-cycle fatigue in terms of deformation behavior and concludes with a discussion on lifetime analysis based on a strain approach.
Book: Fatigue and Fracture
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002366
EISBN: 978-1-62708-193-1
... and differences between proportional and nonproportional loading are first introduced to facilitate discussion of various correlating parameters. Some basic correlations for multiaxial fatigue also are presented. Fatigue crack “initiation” parameters are reviewed, ranging from simple effective stress...
Abstract
This article provides information on the typical experimental observations of formation and propagation of small fatigue cracks under various stress states and explores the relation to long crack fracture mixed-mode fracture mechanics. It discusses state I crystallographic and stage II normal stress-dominated growth, along with some observations regarding the influence of combined stress state on the propagation of small cracks. The article discusses the differences between low-cycle fatigue and high-cycle fatigue (HCF) behaviors. Several other features of multiaxial fatigue are also explained, including mean stress effects, sequences of stress/strain amplitude or stress state, nonproportional loading and cycle counting, and HCF fatigue limits. In addition, the article covers the formation and propagation of cracks on the order of several grain sizes in diameter in initially isotropic and ductile structural alloys.
Image
in Influence of Multiaxial Stresses on Creep and Creep Rupture of Tubular Components
> Mechanical Testing and Evaluation
Published: 01 January 2000
Fig. 5 Multiaxial creep test results for a pressurized P91 tube with end load at 600 °C (1100 °F) under various ratios of hoop stress to axial stress and with constant initial von Mises stress
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Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003286
EISBN: 978-1-62708-176-4
... have led to a good understanding of the physical processes involved, they often do not provide sufficient information to predict the behavior of high-temperature components. Load bearing parts at elevated temperatures are often subjected to multiaxial loading conditions that drive the deformation...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003291
EISBN: 978-1-62708-176-4
... initial von Mises stress. In the same figure, the continuum damage mechanics (CDM) model predictions are shown for three different multiaxial stress rupture criterion: von Mises, Tresca, and Huddleston. Fig. 5 Multiaxial creep test results for a pressurized P91 tube with end load at 600 °C (1100 °F...
Abstract
This article presents effective stress equations that are based on the von Mises criterion, the Tresca criterion, and the Huddleston criterion. It describes the calculation of effective stresses for different cases: elastic stresses, steady-state creep stresses, stresses in a fully plastic case, and thermal stresses in a tube. The article illustrates the comparison of life predictions by the stress criteria and presents a simple mean diameter hoop stress equation, which is used for designing components. It also provides information on the multiaxial creep ductility of tubular components and multiaxial testing methods.
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003269
EISBN: 978-1-62708-176-4
..., therefore, mechanics-based design equations can often be used to predict the approximate behavior of the material under complex stresses from the measurements of mechanical behavior under uniaxial tension or compression. There are, however, many applications when testing under multiaxial loads is useful...
Abstract
This article reviews the common methods of shear and multiaxial testing for the evaluation of engineering components such as fasteners and mill products. It discusses shear test methods, including through-thickness tests, in-plane shear tests, and double-notched shear test. The article provides information on torsional (rotational shear) tests as well as the basic equipment and setup of torsion testing. Motors, twist and torque transducers, torque sensors, and heating systems as well as the specimen preparation procedure are also discussed.
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003320
EISBN: 978-1-62708-176-4
... and particularly the behavior of small fatigue cracks. The influence of loading history and phases is also a topic of recent studies. Cylindrical specimens or tubular specimens are mostly used for these studies. Perhaps the most important recent topic in multiaxial fatigue studies is the behavior of cracks...
Abstract
The main objective for the study of combined-stress fatigue is to obtain fatigue data for axles and to find the criterion for fatigue limit under combined stress. This article begins with a description of the stress states of combined stress and stress fields near crack tips. It provides an account of the various biaxial and multiaxial fatigue testing methods, specimen geometries, and stress intensity factors important in the study multiaxial fatigue. Widely used test methods are the torsion-rotating bending fatigue test and biaxial and triaxial fatigue tests. Common specimen geometries include rectangular plate specimens, cruciform specimens, compact tension shear specimens, compact shear specimens, mode II crack growth specimen, circumferentially notched cylindrical specimens, tubular specimens containing a slit, and solid cylindrical specimens containing a small hole or initial crack.
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006940
EISBN: 978-1-62708-395-9
... for uniaxial or multiaxial fatigue testing of polymers ( Ref 3 – 5 ). Load conditions include bending, torsion, and axial, while specimen geometries include flat (for uniaxial) or tubular (for multiaxial), with or without an introduced geometric notch. There is an alternate approach to the initiation...
Abstract
Failure of structural polymeric materials under cyclic application of stress or strain is a subject of industrial importance. The understanding of fatigue mechanisms (damage) and the development of constitutive equations for damage evolution, leading to crack initiation and propagation as a function of loading or displacement history, represent a fundamental problem for scientists and engineers. This article describes the approaches to predict fatigue life and discusses the difference between thermal and mechanical fatigue failure of polymers.
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in Design Considerations for Advanced Ceramics for Structural Applications
> Engineered Materials Handbook Desk Edition
Published: 01 November 1995
(constant-stress-rate loading) data. Strength degradation in water is predicted for a dynamic load of 1 MPa/s. A mixed-mode fracture criterion was chosen to account for the change in surface flaw reliability for multiaxial stress states. Source: Ref 13
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Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003399
EISBN: 978-1-62708-195-5
... the matrix plastic behavior, and it is shown that the effective yield strength of a fully bonded composite is increased over that of the matrix material. Further details are presented in the section on discontinuous composites. Multiaxial Loading For loading other than in the 0° or 90° direction, one...
Abstract
The goal of micromechanics and analysis is to use the predictive methodology to develop tailored composites and also to make accurate predictions of their performance in service. This article reviews results derived from micromechanics analyses, based on finite-element method of unidirectional fiber reinforced metal matrix composites (MMCs). It discusses the elastic deformation and elastic-plastic deformation analysis of discontinuously reinforced MMCs. The article provides an overview of analysis of strength, fatigue, and fracture toughness for macromechanics fiber-reinforced and discontinuous reinforced composites.
Image
Published: 01 November 1995
Fig. 21 Approximate multiaxial failure envelope for monolithic ceramics. Uniaxial loadings lie on the axes. Tensile stresses are positive and compression stresses are negative. Failure occurs for any combination of σ 1 , σ 2 that lies outside the envelope. σ 1 , tensile stress; σ 2 , modest
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Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005419
EISBN: 978-1-62708-196-2
... the shape of cracks in complex geometric structures subject to complex, multiaxial loading. In the early 2000's these model approaches were two-dimensional, but now fully three-dimensional methods are available, for example, FRANC3D ( Ref 4 ) and Zencrack ( Ref 27 ). These advanced tools can read meshes...
Abstract
Understanding fatigue crack growth is critical for the safe operation of many structural components. This article reviews the standard fracture mechanics and methods to determine the crack growth rate for a material and loading condition experimentally. It also addresses the two most important aspects of crack-growth modeling: loading environment and crack geometry.
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002476
EISBN: 978-1-62708-194-8
... for tensile strength. It reviews life prediction reliability models used for predicting the life of a component with complex geometry and loading. The article outlines reliability algorithms and presents several applications to illustrate the utilization of these reliability algorithms in structural...
Abstract
Brittle materials, such as ceramics, intermetallics, and graphites, are increasingly being used in the fabrication of lightweight components. This article focuses on the design methodologies and characterization of certain material properties. It describes the fundamental concepts and models associated with performing time-independent and time-dependent reliability analyses for brittle materials exhibiting scatter in ultimate strength. The article discusses the two-parameter and three-parameter Weibull distribution for representing the underlying probability density function for tensile strength. It reviews life prediction reliability models used for predicting the life of a component with complex geometry and loading. The article outlines reliability algorithms and presents several applications to illustrate the utilization of these reliability algorithms in structural applications.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005405
EISBN: 978-1-62708-196-2
... growth rates below the LEFM threshold, and a fatigue limit for constant amplitude loading are reproduced by the simplified model. McDowell ( Ref 27 , 28 ) further introduced extensions of these kinds of simplified models to achieve consistency with multiaxial fatigue parameters ( Ref 9 ) and strain-life...
Abstract
The purposes and methods of fatigue modeling and simulation in high-cycle fatigue (HCF) regime are to design either failsafe components or components with a finite life and to quantify remaining life of components with pre-existing cracks using fracture mechanics, with the intent of monitoring via an inspection scheme. This article begins with a discussion on the stages of the fatigue damage process. It describes hierarchical multistage fatigue modeling and several key points regarding the physics of crack nucleation and microstructurally small crack propagation in the HCF regime. The article provides a description of the microstructure-sensitive modeling to model fatigue of several classes of advanced engineering alloys. It describes the various modeling and design processes designed against fatigue crack initiation. The article concludes with a discussion on the challenges in microstructure-sensitive fatigue modeling.
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003406
EISBN: 978-1-62708-195-5
..., that is, there is not sufficient resin present to wet and/or impregnate all the fibers by the manual consolidation operation (homogenization process). Consequently, this will result in a drop of properties, as indicated in Fig. 1 . The use of woven roving (WR) and multiaxial fabrics makes it possible to tailor the direction...
Abstract
Open molding is the method used in the polymer-matrix composites industry to make thermoset composite products. This article discusses the advantages, disadvantages, and applications of the open molding. It describes the various process of the open molding, such as hand lay-up process and spray-up process. Workmanship for hand lay-up and spray-up processes is reviewed. The article provides information on the matrix-resin materials used for open molding, including unsaturated polyester resins, epoxy vinyl ester resins, and reinforcements. It explains the component design and short- and long-term properties of a fiber reinforced composite laminate depending on material selection and workmanship. The article also presents the basic design guidelines for open molding.
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006819
EISBN: 978-1-62708-329-4
... multiaxial cyclic loading often produces additional strain hardening, which is not usually observed under proportional loading conditions. The reason for the additional hardening is the interaction of slip planes, because many more slip planes are active during nonproportional loading due to the change...
Abstract
This article offers an overview of fatigue fundamentals, common fatigue terminology, and examples of damage morphology. It presents a summary of relevant engineering mechanics, cyclic plasticity principles, and perspective on the modern design by analysis (DBA) techniques. The article reviews fatigue assessment methods incorporated in international design and post construction codes and standards, with special emphasis on evaluating welds. Specifically, the stress-life approach, the strain-life approach, and the fracture mechanics (crack growth) approach are described. An overview of high-cycle welded fatigue methods, cycle-counting techniques, and a discussion on ratcheting are also offered. A historical synopsis of fatigue technology advancements and commentary on component design and fabrication strategies to mitigate fatigue damage and improve damage tolerance are provided. Finally, the article presents practical fatigue assessment case studies of in-service equipment (pressure vessels) that employ DBA methods.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005421
EISBN: 978-1-62708-196-2
... under uniaxial versus multiaxial tensile-stress conditions. Mesoscale models incorporate the influence of local microstructure and texture on cavitation. The article outlines the descriptions of cavity coalescence and shrinkage. It also describes the simulation of the tension test to predict tensile...
Abstract
This article focuses on the modeling and simulation of cavitation phenomena. It summarizes the experimental observations of cavitation and reviews the modeling of cavity nucleation and growth. The article discusses the modeling of the cavity growth based on mesoscale and microscale under uniaxial versus multiaxial tensile-stress conditions. Mesoscale models incorporate the influence of local microstructure and texture on cavitation. The article outlines the descriptions of cavity coalescence and shrinkage. It also describes the simulation of the tension test to predict tensile ductility and to construct failure-mechanism maps.
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