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plane stress elastic model

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Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540001
EISBN: 978-1-62708-309-6
... in material behavior changes from (a) toward (c), the complexity in mathematical representation of each of these models increases. The curve in Fig. 1.3(b) represents an elastic–perfectly plastic material. It exhibits elastic behavior up to the yield stress, then plastic flow follows without further...
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...
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 2012
DOI: 10.31399/asm.tb.smfpa.t53500019
EISBN: 978-1-62708-317-1
... for the isotropic material. Figure 2.4 shows the stress distribution 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...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540281
EISBN: 978-1-62708-309-6
..., the J reported could have been a J 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...
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: 30 November 2013
DOI: 10.31399/asm.tb.uhcf3.t53630257
EISBN: 978-1-62708-270-9
... 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. The chapter...
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
.... , Fatigue and Fracture of Metals , MIT Press , Cambridge , 1950 9.7 Sneddon I.N. , The Distribution of Stress in the Neighborhood of a Crack in an Elastic Solid , Proc., R. Soc. (London) , Vol A187 , 1946 , p 229 – 260 10.1098/rspa.1946.0077 9.8 Irwin G.R. , Analysis...
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
... of crystalline lamellae in polymers. Source: Ref A.34 Fig. A.28 Influence of density on and strength and stiffness of polyethylene. Source: Ref A.35 Fig. A.38 States of stress represented on octahedral planes. (a) General state of stress. (b) Hydrostatic tension on octahedral planes. (c...
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
... by plotting values of toughness versus yield strength for each alloy being considered for a design. If the thickness in the design is less than the critical thickness denoted by the sloping line, crack tips in the part will not be stressed under plane-strain conditions, and either elastic-plastic or gross...
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
... Relationships A Numerical Example for Determining Stresses When Strains Are Specified Critical Planes Some Common Multiaxial Fatigue Theories Application of Multiaxiality Concepts to a Large Range of Published Information Discussion References References 5.1 Krause D.L...
Series: ASM Technical Books
Publisher: ASM International
Published: 30 November 2013
DOI: 10.31399/asm.tb.uhcf3.t53630071
EISBN: 978-1-62708-270-9
... diagrams, 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 December 2004
DOI: 10.31399/asm.tb.tt2.t51060101
EISBN: 978-1-62708-355-3
... through 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...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.t69870237
EISBN: 978-1-62708-344-7
..., American Society for Testing and Materials , 1967 , p 131 – 168 10.30 Tuba I.S. , A Method of Elastic-Plastic Plane Stress and Strain Analysis , J. Strain Anal. , Vol 1 , 1966 , p 115 – 122 10.1243/03093247V012115 10.31 Forsyth P.J.E. , A Two-Stage Process of Fatigue-Crack...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540047
EISBN: 978-1-62708-309-6
... strength (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...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2012
DOI: 10.31399/asm.tb.smfpa.t53500051
EISBN: 978-1-62708-317-1
.... , Process Modeling and Optimization in Sheet Metal Forming—Selected Applications and Challenges , Steel Res. Int. , Vol 78 , 2007 10.1002/srin.200706278 3.6 Al-Nasser A. et al. , Determination of Flow Stress of Five AHSS Sheet Materials (DP600, DP780, DP780-CR, DP780-HY and TRIP780) Using...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 1983
DOI: 10.31399/asm.tb.mlt.t62860295
EISBN: 978-1-62708-348-5
.... , and Warlimont H. ( 1974 ). Thermo-elasticity, pseudoelasticity and the memory effects associated with martensitic transformations . J. Mater. Sci . 9 , 1521 – 1555 . 10.1007/BF00552939 Dunne D. P. and Wayman C. M. ( 1971 ). The crystallography of ferrous martensites . Metall. Trans...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.t69870325
EISBN: 978-1-62708-344-7
... operating in either constituent. The response of the matrix was nominally elastic for the test conditions studied. The Halford-Nachtigall Modified Morrow (HNMM) mean stress model ( Ref 12.34 ) discussed in Chapter 4, “Mean Stress,” is compared with the experimental results in Fig. 12.56 . Note...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.fdmht.t52060173
EISBN: 978-1-62708-343-0
... Code 8.91 ABDN FCE Fatigue-creep-environment model 8.65 , 8.66 B: Stress-life diagrams B SRD Stress-range diagrams 8.92 B SRD Stress-range diagrams 8.74 ABD LCD Linear creep damage for thermal fatigue 8.84 ABD MLF Modified-Life Fraction Rule 8.26 ABD...