Abstract
In order to illustrate the application of the criteria and fitting of the parameters, some measurements from the literature are analyzed. At first, the measured data for
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gray cast iron (Coffin and Schenectady in J Appl Mech 17:233–248, 1950) [1],
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POM (poly(oxymethylene)) (Pae in J Mater Sci 12:1209–1214, 1977) [2],
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PVC (polyvinyl chloride) hard foam (Christensen et al. in Int J Solids Struct 39(4):973–982, 2002) [3], and
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concrete (Lee et al. in Nucl. Eng. Des. 227(2):143–153, 2004) [4]
are shown in (Altenbach et al. Plasticity of pressure-sensitive materials. Engineering Materials. Springer, Berlin, 2014) [5] and (Kolupaev et al. J Eng Mech (ASCE), 2017) [6]. The measured data for
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aluminum alloy (Naghdi, Rowley in J Mech Phys Solids 8:63–80, 1954) [7], (Naghdi et al. in Trans ASME J Appl Mech 6:201–209, 1958) [8],
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PAÂ 6 (polyamide) (unpublished),
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EPP P 9240 (expandable polypropylene) hard foam (Münch, Mechanisches Kurzzeitverhalten von thermoplastischen Konstruktionsschaumstoffen unter mehrachsiger Beanspruchung, 2005) [9], and
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concrete (Tasuji in The behavior of plan concrete subject to biaxial stress, 1976) [10], (Tasuji et al. in ACI J Proc 75(7):306–312, 1978) [11], (Tasuji et al. in Mag Concr Res 31(109):217–224, 1979) [12]
are fitted below. In addition, the own experimental results for PMI (polymethacrylimide) hard foams are evaluated.
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Notes
- 1.
1 psi = 0.00689 MPa.
- 2.
Charge, molar mass, and crystallinity of PAÂ 6 were not provided.
- 3.
Manufacturer Suter + Co. Maschinenbau, Basel, max. tensile force 150 kN, max. torsional moment 3400 Nm.
- 4.
Definition by DeRuntz–Hoffman for four points lying under the tensile failure mode (straight line \(X-B_\mathrm {Z}\)). These points are shown red (Fig. 14.17).
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Kolupaev, V.A. (2018). Applications. In: Equivalent Stress Concept for Limit State Analysis. Advanced Structured Materials, vol 86. Springer, Cham. https://doi.org/10.1007/978-3-319-73049-3_14
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