1-20 of 105 Search Results for

linear elastic deformation

Follow your search
Access your saved searches in your account

Would you like to receive an alert when new items match your search?
Close Modal
Sort by
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006941
EISBN: 978-1-62708-395-9
...-versus-time graph can be constructed from creep data. As long as the material remains within the linear viscoelastic range, the modulus calculated from creep data will be a function of time alone. The contributions to the instantaneous deformation are a recoverable elastic strain and a permanent plastic...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006767
EISBN: 978-1-62708-295-2
... mechanics analysis linear elastic fracture mechanics analysis stress analysis equations stress analysis THE STRESSES acting on a component may cause unacceptable deformation, cracking, or fracture. By definition, after a stress-related failure has occurred, it is a given that the stresses reached...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006910
EISBN: 978-1-62708-395-9
... Abstract There are many different types of polymeric materials, ranging from glassy to semicrystalline polymers and even blends. Their mechanical properties range from pure elastic with very high strains to fracture (elastomers) to almost pure linear elastic (Hookian behavior) with low strains...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006919
EISBN: 978-1-62708-395-9
... of a component to failure due to stresses applied at high rates. The two most significant concepts in this definition are those of failure due to mechanical stress and high rates of loading. Failure of a plastic component can take many forms. There are situations in which excessive elastic deformation...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003513
EISBN: 978-1-62708-180-1
... δ e δ mat FAD, failure assessment diagram; LEFM, linear elastic fracture mechanics; EPFM, elastic-plastic fracture mechanics; CTOD, crack-tip opening displacement; FAC, failure assessment curve; FAP, failure assessment point; J e , elastic component of J -integral; J p...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003530
EISBN: 978-1-62708-180-1
... The transformations A and B can be combined by defining C = BA . In that case T ′ ′ = C T C T which is in the same form as the single transformation. Stress and strain in an isotropic body for elastic deformation are related by linear expressions that result from Hooke's law...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001766
EISBN: 978-1-62708-241-9
... that the anchor rod was loaded beyond its installation limit of 6,000 ft-lbf based upon the underlying assumption that 6,000 ft-lbf was the elastic limit of the screw anchor. While in many applications, the onset of bulk plastic deformation is considered to constitute failure of a component, it is not true...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006934
EISBN: 978-1-62708-395-9
... of applying a constant stress to a material specimen and recording its deformation (strain) over time. When an ideal elastic solid is stressed, an immediate strain is recorded, and the applied stress, σ, is directly proportional to the strain, ε. The elastic behavior is described by the familiar Hooke...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006918
EISBN: 978-1-62708-395-9
... are most appropriate for characterizing crack growth in polymers or the nature of crack-growth resistance in a polymer under specific test conditions. The main analyses used in the characterization of crack growth are linear elastic ( K -based) or elastic-plastic ( J -based) fracture processes ( Ref 13...
Book Chapter

Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003541
EISBN: 978-1-62708-180-1
... a critical value, K Ic , for the plane-strain fracture toughness, which is considered to be a material property ( Ref 22 ). Linear elastic fracture mechanics properties per ASTM D5045 are appropriate for highly cross-linked thermosets or glassy thermoplastics incapable of significant plastic deformation...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006865
EISBN: 978-1-62708-395-9
... to be a material property ( Ref 14 ). Linear elastic fracture mechanics properties ( Ref 22 ) are appropriate for highly cross-linked thermosets or glassy thermoplastics incapable of significant plastic deformation (e.g., polystyrene). Unlike shear yielding, which occurs at constant volume, craze yielding...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006928
EISBN: 978-1-62708-395-9
... are derived, which describe the balance between elasticity, viscosity, and energy absorption. Standard methods are given in ISO 6721 and ASTM D5023 to D5026. Because dynamic properties are usually measured with small deformations, they involve only relative displacement of polymer segments in the linear...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006930
EISBN: 978-1-62708-395-9
..., angular velocity On the other hand, pure deformation, which is appropriate for describing how solids behave (elastic behavior), is denoted by a spring in rheology textbooks. The behavior exhibited by solids is shown in Fig. 2 , which shows that for solids, the force exerted by the operator...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001762
EISBN: 978-1-62708-241-9
... a microscope. The pre-existing crack morphology was intergranular fracture in the axles studied. An estimate of the force required to cause the axle fracture can be made using the measured crack size, fracture toughness determined from these tests, and linear elastic fracture mechanics. The axle can...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001851
EISBN: 978-1-62708-241-9
... be derived by the finite element method with the introduction of consistent variables to satisfy the geometric compatibility at the internal boundaries. Motion of the rotating shaft can be described as a Euler beam, while motion of the spinning disk results in elastic deformation and departure from a rigid...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003526
EISBN: 978-1-62708-180-1
... of general-purpose FEA software programs. It is also very useful when performing failure analyses, because failure and fracture of materials often involve some form of plastic deformation before failure. Most analyses start out as linear elastic problems. The results of a linear analysis can indicate whether...
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
... produces slip lines in the crystals of a metal, which develop into small cracks. These small cracks then propagate, coalesce, and result in an eventual fracture that usually involves no gross plastic deformation and generally occurs at stress levels below the material yield strength. Consequently, at one...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006944
EISBN: 978-1-62708-395-9
.... Figure 6 shows the effect of temperature on the stress-strain of cellulose acetate ( Ref 10 ). Deviation of the linearity in the elastic region is observed clearly at all temperatures, and yielding occurs. As the temperature is increased, the stress levels for deformation decrease, the elongation...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006781
EISBN: 978-1-62708-295-2
... plastic behavior ( Ref 11 , 12 ): (Eq 12) da dN = C Δ J q e ( − Q p RT ) Equation 11 estimates the fatigue crack growth per cycle, da / dN , as a function of material- and environmental-specific constants a and b ; the linear elastic stress-intensity factor...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006773
EISBN: 978-1-62708-295-2
... form of plastic deformation before failure. Most analyses start out as linear elastic problems. The results of a linear analysis can indicate whether stresses in the component exceed the yield strength of the material and give an indication of the size of the high-stress plastic zone. In many cases...