Multi‐scale approach for strength properties estimation in functional materials

Abstract

A new methodology to obtain metallic functional materials with predefined sets of strength properties has been developed. It has been shown that in order to accurately estimate set of material properties at the macro‐level, information from the micro‐level needs to be taken into account. As a result a two‐level estimation model, based on the theory of fuzzy sets, has been proposed. To demonstrate the developed methodology, a reinforcing steel has been analysed. Using microstructural information, derived from an available set of experimentally obtained digital images of material microsections under different heat treatment conditions, macroscopic strength properties of reinforcing steel have been determined.

Methodology to estimate the minimum number of experiments and key microstructural parameters in macroscopic strength properties evaluation

“…The formulation and methodology of the integrated estimation of material's strength properties (sub‐problem 1) has been analysed in detail in . In particular, a new approach to the solution of this problem has been proposed, based on decomposition of the initial problem into several sub‐steps.…”

“…The second sub‐task (ii), in which an integrated estimation of the physico‐mechanical (macroscopic) characteristics from a set of the grain‐phase (microscopic) structure of the material can be performed, has been analysed in details in, however for readers’ benefits, the main aspects of the methodology are presented below.…”

“…The formulation and methodology of the integrated estimation of material's strength properties (sub-problem 1) has been analysed in detail in. [5,6] In particular, a new approach to the solution of this problem has been proposed, based on decomposition of the initial problem into several sub-steps. Initially, as already noted, a hypothesis has been introduced that the set of required physico-mechanical characteristics of a material is uniquely determined by its microstructure.…”

“…The second sub-task (ii), in which an integrated estimation of the physico-mechanical (macroscopic) characteristics from a set of the grain-phase (microscopic) structure of the material can be performed, has been analysed in details in, [5,6] however for readers' benefits, the main aspects of the methodology are presented below. As mentioned above, the methodology, contrary to the majority of currently accepted approaches, does not require a specific format of constitutive relation or other approximation function, instead it builds fuzzy relationships between microscopic characteristics of the metals grain-phase structure and macroscopic effective performance properties.…”

Theoretical modeling relating to temperature and cap/end for carbon nanotubes under hydrostatic pressure

“…The carbon nanotubes can be divided into single walled carbon nanotubes and multi walled carbon nanotubes according to the number of tube wall layers. At present, experts and scholars from all over the world have studied the carbon nanotubes on the mechanical properties of a large amount of theoretical research [3–5]; however, the results of the study on the mechanical properties of carbon nanotubes with a influence of temperature are somewhat limited.…”