Titlebook: Equivalent Stress Concept for Limit State Analysis; Vladimir A. Kolupaev Book 2018 Springer International Publishing AG, part of Springer

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Dimensionless Values for Comparison,?.). Further values are needed to describe the properties of advanced materials. These values provide a simple way to characterize the limit surfaces too. Several restrictions on the fitting of the strength criteria are introduced on the basis of these values.

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Applications,e measured data for. are shown in (Altenbach et al. Plasticity of pressure-sensitive materials. Engineering Materials. Springer, Berlin, 2014) [.] and (Kolupaev et al. J Eng Mech (ASCE), 2017) [.]. The measured data for. are fitted below. In addition, the own experimental results for PMI (polymethacrylimide) hard foams are evaluated.

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Summary and Outlook,vior modeling. The topic is quite old and referable to the normal stress hypothesis of Galileo Galilei (Sect.?.). However, the concept is still developing and this trend will continue along with progress in physics, materials science, advanced measurement technics, and numerical methods.

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Book 2018pplied to various classes of isotropic materials. Due to its simplicity and clarity, this concept is now widely used in component design, and many strength and yield criteria based on the equivalent stress concept have been formulated. Choosing the appropriate criterion for a given material remains

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Criteria of Equivalent Stress Concept, 2004, [.]).This chapter describes selected criteria which are of the significance for the later chapters and for the systematization. These criteria are written in the same manner and generalized subsequently.

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Generalized Pressure-Insensitive Criteria,002 [.]). The criteria are written in the invariants of the stress deviator (.) or (.) and hence are cylindrical or prismatic surfaces aligned along the hydrostatic axis in the principal stress space. They do not restrict the hydrostatic stresses. The equalities?(.) and the equation . are valid.