Speaker
Description
The standard approach to mechanical design is based on strength hypotheses. However, the structural optimization methods do not take into account this important condition determining the correctness of the engineering solution. The situation is different in the case of biological systems, where reference to material strength is a basic condition for the formation of functional mechanically loaded systems. The team developed an optimization system modeled on the phenomenon of bone remodeling, based on rigorous theoretical studies in the field of material continuum optimization, where the condition for achieving the optimal solution is the equalization of strain energy density on the structural surface. Furthermore the strength hypotheses are expressed in terms of strain energy. The aim of the research presented in this paper is using a precisely estimated relationship between the condition of a constant value of the strain energy density on the structural surface and the material strength, according to yield criteria for numerical studies. The given numerical examples contain a reference to the analytical results and indicate a unique feature of the presented method. An important element of the concept of building a system for the biomimetic structural optimization method is the notion of insensitivity zone. The use of this concept allows for regularization without focusing on the existence of the Lagrange multiplier correspondence to the volume constraint. The biomimetic heuristics used will be presented. The approach presented in the paper can be used by engineers as a method for structural optimization no longer bound to the phenomenon of trabecular bone remodeling. However, the discussion of the use of observations of Nature in mechanical design remains open.
