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linear elastic deformation

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Published: 01 August 2005
Fig. 1.2 Cylindrical bar subjected to axial load. (a) Linear elongation along the loading direction. (b) Free body diagram. (c) Linear relationship between force and elastic deformation (or stress and elastic strain) More
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.tb.tt2.9781627083553
EISBN: 978-1-62708-355-3
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.tb.tt2.t51060265
EISBN: 978-1-62708-355-3
... with respect to a xed reference system in the material. See also planar anisotropy. average linear strain. See engineering strain. axial strain. See uniaxial strain. B Bauschinger effect. The phenomenon by which plastic deformation increases yield strength in the direction of plastic ow and decreases...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.tb.ems.t53730023
EISBN: 978-1-62708-283-9
... Abstract The mechanical behavior of a material, in the most practical sense, is how it deforms or breaks under load; in other words, how it responds when stressed. This chapter provides a brief review of the properties associated with mechanical behavior, including stress, strain, elasticity...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 30 November 2013
DOI: 10.31399/asm.tb.uhcf3.t53630013
EISBN: 978-1-62708-270-9
... Abstract This chapter focuses on some of the facts of mechanical properties of metals that must be understood to successfully undertake the task of failure analysis. The discussion begins by describing the causes and effects of elastic and plastic deformation followed by a section describing...
Series: ASM Technical Books
Publisher: ASM International
Published: 15 June 2021
DOI: 10.31399/asm.tb.mpktmse.t56010001
EISBN: 978-1-62708-384-3
... to determine when yielding begins. It also explains how to determine other properties via tensile tests, including ductility, toughness, and modulus of resilience. elastic modulus extensometers impact strength linear elastic fracture toughness plastic deformation properties Poisson's ratio tensile...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.tb.tt2.t51060001
EISBN: 978-1-62708-355-3
... usually corresponds to the first deviation from linearity. (For some materials, the elastic deformation may be nonlinear, and so there is not always this correspondence). Once plastic deformation has begun, there will be both elastic and plastic contributions to the total strain, e T . This can...
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
... occurs when a stress condition at the crack tip is achieved and often occurs under nominally linear-elastic deformation in the component. Ductile fracture is strain controlled and often occurs when the component has nominal yielding. As a result, the level of fracture toughness measured is generally...
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 their associated results. A brief discussion on the linear elastic fracture mechanics method is presented, along with an example of its effectiveness as a predictive tool for impact performance. Various issues with a bearing on impact performance, such as processing, chemical attack, and aging, are also described...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 1989
DOI: 10.31399/asm.tb.dmlahtc.t60490021
EISBN: 978-1-62708-340-9
... fracture toughness linear-elastic fracture mechanics steel temper embrittlement transition temperature The toughness of a material is its ability to absorb energy in the form of plastic deformation without fracturing. The ability of a material to withstand occasional stresses above the yield...
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
... that surrounds a crack in a loaded body. Two categories of fracture mechanics are linear elastic fracture mechanics (LEFM) and elastic-plastic fracture mechanics (EPFM). LEFM is used when the crack tip is sharp and there is only a small amount of plastic deformation at or near the crack tip. LEFM is used...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780211
EISBN: 978-1-62708-281-5
... for determining the linear elastic fracture toughness ( K Ic and G Ic ) of polymers. This methodology is appropriate for highly cross-linked thermosets (e.g., epoxy) or glassy thermoplastics incapable of significant plastic deformation (e.g., polystyrene). ASTM D 6068 ( Ref 25 ) describes a method...
Series: ASM Technical Books
Publisher: ASM International
Published: 15 June 2021
DOI: 10.31399/asm.tb.mpktmse.9781627083843
EISBN: 978-1-62708-384-3
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540281
EISBN: 978-1-62708-309-6
... deformation are analogous to the three levels of crack-tip plasticity in the subcreep temperature regime: the small-scale yielding level in which the load-carrying behavior of the specimen (or component) is linear, the fully plastic level, and the intermediate (elastic-plastic) level. Therefore, under small...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540431
EISBN: 978-1-62708-309-6
... in a scanning electron micro- a given time determined from a Cartesian scope. plot. dislocation. The linear lattice defect that is re- creep-rupture strength. See stress-rupture sponsible for nearly all aspects of the plastic strength. deformation of metals. Dislocation theory is creep stress. The constant load...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.mnm2.t53060049
EISBN: 978-1-62708-261-7
..., the strain is elastic (the crystal or object has sustained elastic deformation) and the amount of strain is directly proportional to the amount of stress placed on the crystal or object. This law of proportionality is called Hooke’s law (after Robert Hooke). The linear relationship between applied stress...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240221
EISBN: 978-1-62708-251-8
... in a loaded body. Two categories of fracture mechanics are linear elastic fracture mechanics (LEFM) and elastic-plastic fracture mechanics (EPFM). LEFM is used when the crack tip is sharp and there is only a small amount of plastic deformation at or near the crack tip. LEFM is used for high-strength metals...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.htpa.t53310167
EISBN: 978-1-62708-346-1
... of increasing forces, plastic deformations occur in addition to the elastic deformations as a function of the sharpness of the indenter. Elastic fractions of the indentation deformation always exist. Therefore, contact mechanics, which allows a separation of the elastic fractions, is of outstanding importance...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.tb.tt2.t51060013
EISBN: 978-1-62708-355-3
... depends on the sensitivity of the strain measurements. With most materials, there is a gradual transition from elastic to plastic behavior, and the point at which plastic deformation begins is difficult to define with precision. In tests of materials under uniaxial loading, three criteria...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 1983
DOI: 10.31399/asm.tb.mlt.t62860001
EISBN: 978-1-62708-348-5
... units of reciprocal pressure. Gschneidner ( 1964 ) suggested that compressibility “has been measured more than any other elastic property.” Bridgman’s (1949) pioneering experiments resulted in compressibility values for many solids. Some of Bridgman’s experiments determined linear compressibility...