Abstract
The load-displacement diagrams for simple springs shown in Fig. 6.2 (page 248) have their counterpart (as was already noted in Example 6.1.2, page 251) in stress-strain diagrams . These represent the properties of the material for, on the one hand, uniaxial normal stress (tensile and compressive) and the conjugate longitudinal strain and, on the other hand, shear stress and the conjugate shear strain . Such diagrams may represent linearly elastic, nonlinearly elastic or inelastic behavior, as discussed in Sect. 6.1.
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Notes
- 1.
Nicolae Iosipescu (1905–1978) was a Romanian engineer.
- 2.
In some discussions a distinction is made between the elastic limit and the proportional limit, referring to the limit of linear elasticity, but in the range of small strains there is no justification for such a distinction.
- 3.
There are also materials in which unloading follows a different path from that of loading but results immediately in zero strain at zero stress. This behavior is called pseudoelastic , and among the materials exhibiting it are those known as shape-memory alloys.
- 4.
Walter Ramberg (1904-1985) was an American physicist and William R. Osgood (1895–1977) was an American Engineer.
- 5.
Henri Tresca (1814–1885) was a French mechanical engineer.
- 6.
Richard von Mises (1883–1953) was an Austrian-American mathematician and engineering scientist.
- 7.
Ludwig Boltzmann (1844–1906) was an Austrian physicist
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Lubliner, J., Papadopoulos, P. (2017). Inelasticity and Material Failure. In: Introduction to Solid Mechanics. Springer, Cham. https://doi.org/10.1007/978-3-319-18878-2_11
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DOI: https://doi.org/10.1007/978-3-319-18878-2_11
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