1-20 of 234 Search Results for

plane stress elastic model

Sort by
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540001
EISBN: 978-1-62708-309-6
... Abstract This chapter reviews the fundamentals of stress, strain, and deformation and demonstrates some of the tools and techniques used to analyze how materials and structures respond to tension, compression, bending, and shear. It begins with an overview of the behavior of perfectly elastic...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2012
DOI: 10.31399/asm.tb.smff.t53400053
EISBN: 978-1-62708-316-4
... of atomic planes, which in turn requires shear stresses. Since no shear stress is given in a hydrostatic stress state, no plastic deformation can be induced. The hydrostatic stress state only introduces an elastic volume change. 5.4 Deviatoric Stress The stress state that causes plastic deformation...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 30 November 2013
DOI: 10.31399/asm.tb.uhcf3.t53630257
EISBN: 978-1-62708-270-9
... Abstract Fracture mechanics is a well-developed quantitative approach to the study of failures. This chapter discusses fracture toughness and fracture mechanics, linear-elastic fracture mechanics, and modes of loading. The discussion also covers plane strain and stress and crack growth kinetics...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780216
EISBN: 978-1-62708-281-5
..., with an elastic material model, the strain rate in an impacted component can be approximated. Using this approximation for strain rate and the temperature to which the component is exposed, data similar to those given in Ref 3 can be used to establish an approximate yield stress for the material...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540281
EISBN: 978-1-62708-309-6
... with large-scale yielding, or just an elastic- J . The latter is actually a value of K 2 divided by E , or by E /(1 − ν 2 ), depending on the crack-tip constraint (i.e., plane stress or plane strain). 6.1.2 General Procedure for Determining J The finite element method can be used to determine...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2012
DOI: 10.31399/asm.tb.ffub.t53610101
EISBN: 978-1-62708-303-4
... are related: (Eq 16) K 2 = E ′ G where for plane stress, E ′ = E , the elastic modulus; for plane strain, E ′ = E /(1 – ν 2 ), where ν is Poisson’s ratio. Thus, it is equivalent to attribute the driving force for fracture to the crack tip stress field, which is proportional to K...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.tb.tt2.t51060101
EISBN: 978-1-62708-355-3
... the beam decrease at higher strains. The yield strength ceases to be a factor in springback once all regions are plastically deformed in tension. In the bending of wide sheets, the metal is deformed in plane strain, and the plane-strain properties (elastic modulus, yield stress, and tangent modulus...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.t69870105
EISBN: 978-1-62708-344-7
... to an axial force along its length to create more complex states of biaxial stress and strain. Furthermore, if the shaft is solid it may have a notch that can provide a stress concentration within a biaxial field. A solid shaft will, however, have a linear strain gradient and, hence, under nominally elastic...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2012
DOI: 10.31399/asm.tb.smfpa.t53500019
EISBN: 978-1-62708-317-1
... in the elementary bending theory. Under plane-strain condition, the stress component causing elastic deformation, σ b,e , is found using Hooke’s law: (Eq 2.10) σ b,e = E ( 1 − ν 2 ) ɛ b = ± E ( 1 − ν 2 ) y R n 0 < ɛ b...
Series: ASM Technical Books
Publisher: ASM International
Published: 30 November 2013
DOI: 10.31399/asm.tb.uhcf3.t53630071
EISBN: 978-1-62708-270-9
..., which are simplified models of complex stress systems. Free-body diagrams of shafts in the pure types of loading (tension, torsion, and compression) are the simplest; they then can be related to more complex types of loading. This chapter discusses the principles of these simplest loading systems...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2021
DOI: 10.31399/asm.tb.ciktmse.t56020001
EISBN: 978-1-62708-389-8
..., and how they respond to applied stresses and strains. The chapter makes extensive use of graphics to illustrate crystal lattice structures and related concepts such as vacancies and interstitial sites, ion migration, volume expansion, antisite defects, edge and screw dislocations, slip planes, twinning...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.9781627083447
EISBN: 978-1-62708-344-7
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.t69870201
EISBN: 978-1-62708-344-7
... the material develops only a biaxial tensile stress σ x = σ y . For the case of plane strain, σ z = v ( σ x + σ y ) ≅ ( ⅔ ) σ x , where ν is the elastic Poisson’s ratio. Thus, the material is close to a condition of triaxial tension of equal magnitude...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540319
EISBN: 978-1-62708-309-6
... and stronger than the baseline/unreinforced matrix material. Because of the mechanical properties of the fibers, most composites maintain an elastic behavior in their stress-strain relationship. Many types of composite systems have been developed. Detailed descriptions of the fiber and the matrix materials...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.t69870375
EISBN: 978-1-62708-344-7
... herein. Mechanics of solids concepts of stress and strain in the elastic and plastic range are then discussed, and the very rudimentary tests that are conducted to provide mechanical material characterization upon which property performance may be judged. Common hardness tests and their inter...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.t69870325
EISBN: 978-1-62708-344-7
..., while cycling between equal tensile and compressive stresses or forces causes tensile strain ratcheting. Monotonic Loading A typical tensile stress-strain curve, for example, for the thermoplastics polyethylene or nylon, is shown in Fig. 12.1 ( Ref 12.1 ). In the region OA linear elasticity...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 January 2022
DOI: 10.31399/asm.tb.isceg.t59320063
EISBN: 978-1-62708-332-4
... in.) where the flash formed at the mating surface maintains a hole big enough for hanging. When the casting design cannot allow a larger window because of space limitations or due to high component stresses, a smaller window of about 40 to 50 mm (1.5 to 2 in.) diameter can be designed. The parting plane...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540047
EISBN: 978-1-62708-309-6
... (ultimate strength), yield strength (or yield point), percent elongation, and reduction of area. The first two are strength parameters; the last two indicate ductility. The stress-strain curve also is used to measure the modulus of elasticity (Young’s modulus) and the modulus of resilience. These parameters...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2012
DOI: 10.31399/asm.tb.ffub.t53610147
EISBN: 978-1-62708-303-4
... + R High-Cycle Fatigue High-cycle fatigue involves a large number of cycles ( N > 10 5 cycles) and an elastically applied stress. High-cycle fatigue tests are usually carried out for 10 7 cycles and sometimes 5 × 10 8 cycles for nonferrous metals. Although the applied stress is low...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 January 2022
DOI: 10.31399/asm.tb.isceg.t59320049
EISBN: 978-1-62708-332-4
... engineering analysis to evaluate the stresses and sends a 3D CAD concept model to the casting engineer, along with information on the environment in which the part will perform. The casting engineer recommends the most suitable alloy and the best process fit. The CAD model geometry is modified...